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5000-5099
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KiritoTRw 2016-09-10 11:36:30 +08:00 committed by GitHub
parent dd3af96771
commit 596be6ae11
91 changed files with 8205 additions and 0 deletions

39
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#include <iostream>
#include <cstdio>
#include <cstring>
using namespace std ;
const int mod=1000000007 ;
int T[2005],dp[2005][2005] ;
int main()
{
int t ;
scanf("%d",&t) ;
while(t--)
{
int n ;
scanf("%d",&n) ;
int sum=0 ;
for(int i=0 ;i<n ;i++)
{
scanf("%d",&T[i]) ;
sum+=T[i] ;
}
memset(dp,0,sizeof(dp)) ;
for(int i=0 ;i<=T[0] ;i++)
dp[0][i]=1 ;
sum>>=1 ;
for(int i=1 ;i<n ;i++)
{
for(int j=0 ;j<=sum ;j++)
{
for(int k=0 ;k<=T[i] ;k++)
{
if(j<k)break ;
dp[i][j]=(dp[i][j]+dp[i-1][j-k])%mod ;
}
}
}
printf("%d\n",dp[n-1][sum]) ;
}
return 0 ;
}

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#include <iostream>
#include <stdio.h>
#include <cmath>
#include <algorithm>
#include <iomanip>
#include <cstdlib>
#include <string>
#include <memory.h>
#include <vector>
#include <queue>
#include <stack>
#include <map>
#include <set>
#include <ctype.h>
#define INF 1000000000000000010LL
#define ll long long
#define max3(a,b,c) max(a,max(b,c))
using namespace std;
vector<int> way[55];
int cnt[55];
double dp[10010][55];
int main(){
int t;
cin>>t;
while(t--){
memset(way,0,sizeof(way));
memset(cnt,0,sizeof(cnt));
int n,m,d;
cin>>n>>m>>d;
for(int i=1;i<=m;i++){
int u,v;
scanf("%d%d",&u,&v);
way[u].push_back(v);
way[v].push_back(u);
cnt[u]++;
cnt[v]++;
}
for(int i=1;i<=n;i++){
dp[0][i]=(1.0/n);
}
for(int l=1;l<=n;l++){
for(int i=1;i<=d;i++){
for(int j=0;j<=n;j++)dp[i][j]=0.0;
}
for(int i=1;i<=d;i++){
for(int j=1;j<=n;j++){
if(j==l)continue;
for(int k=0;k<cnt[j];k++){
if(way[j][k]==l)continue;
dp[i][way[j][k]]+=dp[i-1][j]/cnt[j];
}
}
}
double ans=0;
for(int i=1;i<=n;i++){
ans+=dp[d][i];
}
printf("%.10lf\n",ans);
}
}
return 0;
}

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#include <cstdio>
#include <cstring>
#include <algorithm>
#include <iostream>
using namespace std;
typedef long long LL;
#define FOR(i, n) for(int i = 0; i < n; ++i)
const int MAXV = 100010;
const int MAXE = MAXV << 1;
const int INF = 0x3f3f3f3f;
const int NINF = -INF;
struct LCT {
struct Node {
Node *ch[2], *fa;
int val, set, add;
int max[2], cnt[2], size;
bool rt, rev;
} statePool[MAXV], *nil;
int ncnt;
int head[MAXV], val[MAXV], ecnt;
int to[MAXE], next[MAXE];
int n, m, T;
Node *ptr[MAXV];
LCT() {
ptr[0] = nil = statePool;
nil->size = 0;
FOR(k, 2) nil->max[k] = NINF;
}
void init() {
memset(head + 1, -1, n * sizeof(int));
ncnt = 1;
ecnt = 0;
}
void add_edge(int u, int v) {
to[ecnt] = v; next[ecnt] = head[u]; head[u] = ecnt++;
to[ecnt] = u; next[ecnt] = head[v]; head[v] = ecnt++;
}
Node* new_node(int val, Node *f) {
Node* x = &statePool[ncnt++];
x->ch[0] = x->ch[1] = nil; x->fa = f;
x->val = val; x->set = NINF; x->add = 0;
x->max[0] = val; x->cnt[0] = 1;
x->max[1] = NINF;
x->size = 1;
x->rt = true; x->rev = false;
return x;
}
void dfs(int u, int f) {
ptr[u] = new_node(val[u], ptr[f]);
for(int p = head[u]; ~p; p = next[p]) {
int v = to[p];
if(v == f) continue;
dfs(v, u);
}
}
void get_max(int &a, int &b, int c) {
if(a != c) {
if(b < c) swap(b, c);
if(a < b) swap(a, b);
}
}
void cnt_max(int a, int &cnt, int b, int bcnt) {
if(a != NINF && a == b) cnt += bcnt;
}
void update(Node *x) {
x->size = x->ch[0]->size + x->ch[1]->size + 1;
x->max[0] = x->val; x->max[1] = NINF;
FOR(i, 2) FOR(j, 2)
get_max(x->max[0], x->max[1], x->ch[i]->max[j]);
FOR(k, 2) x->cnt[k] = 0;
FOR(k, 2) cnt_max(x->max[k], x->cnt[k], x->val, 1);
FOR(k, 2) FOR(i, 2) FOR(j, 2)
cnt_max(x->max[k], x->cnt[k], x->ch[i]->max[j], x->ch[i]->cnt[j]);
}
void rotate(Node *x) {
Node *y = x->fa;
int t = (y->ch[1] == x);
if(y->rt) y->rt = false, x->rt = true;
else y->fa->ch[y->fa->ch[1] == y] = x;
x->fa = y->fa;
(y->ch[t] = x->ch[t ^ 1])->fa = y;
(x->ch[t ^ 1] = y)->fa = x;
update(y);
}
void update_set(Node *x, int val) {
if(x == nil) return ;
x->add = 0;
x->val = x->set = val;
x->max[0] = val; x->cnt[0] = x->size;
x->max[1] = NINF;
}
void update_add(Node *x, int val) {
if(x == nil) return ;
x->add += val;
x->val += val;
FOR(k, 2) if(x->max[k] != NINF)
x->max[k] += val;
}
void update_rev(Node *x) {
if(x == nil) return ;
x->rev = !x->rev;
swap(x->ch[0], x->ch[1]);
}
void pushdown(Node *x) {
if(x->set != NINF) {
FOR(k, 2) update_set(x->ch[k], x->set);
x->set = NINF;
}
if(x->add != 0) {
FOR(k, 2) update_add(x->ch[k], x->add);
x->add = 0;
}
if(x->rev) {
FOR(k, 2) update_rev(x->ch[k]);
x->rev = false;
}
}
void push(Node *x) {
if(!x->rt) push(x->fa);
pushdown(x);
}
void splay(Node *x) {
push(x);
while(!x->rt) {
Node *f = x->fa, *ff = f->fa;
if(!f->rt) rotate(((ff->ch[1] == f) && (f->ch[1] == x)) ? f : x);
rotate(x);
}
update(x);
}
Node* access(Node *x) {
Node *y = nil;
while(x != nil) {
splay(x);
x->ch[1]->rt = true;
(x->ch[1] = y)->rt = false;
update(x);
y = x; x = x->fa;
}
return y;
}
void be_root(Node *x) {
access(x);
splay(x);
update_rev(x);
}
void link(Node *x, Node *y) {
be_root(x);
x->fa = y;
}
void cut(Node *x, Node *y) {
be_root(x);
access(x);
splay(y);
y->fa = nil;
}
void modify_add(Node *x, Node *y, int w) {
be_root(x);
update_add(access(y), w);
}
void modify_set(Node *x, Node *y, int w) {
be_root(x);
update_set(access(y), w);
}
void query(Node *x, Node *y) {
be_root(x);
Node *r = access(y);
if(r->max[1] == NINF) puts("ALL SAME");
else printf("%d %d\n", r->max[1], r->cnt[1]);
}
void work() {
scanf("%d", &T);
for(int t = 1; t <= T; ++t) {
scanf("%d%d", &n, &m);
init();
for(int i = 1; i <= n; ++i) scanf("%d", &val[i]);
for(int i = 1, u, v; i < n; ++i) {
scanf("%d%d", &u, &v);
add_edge(u, v);
}
dfs(1, 0);
printf("Case #%d:\n", t);
for(int i = 0, x, y, a, b, op; i < m; ++i) {
scanf("%d", &op);
if(op == 1) {
scanf("%d%d%d%d", &x, &y, &a, &b);
cut(ptr[x], ptr[y]);
link(ptr[a], ptr[b]);
} else if(op == 2) {
scanf("%d%d%d", &a, &b, &x);
modify_set(ptr[a], ptr[b], x);
} else if(op == 3) {
scanf("%d%d%d", &a, &b, &x);
modify_add(ptr[a], ptr[b], x);
} else {
scanf("%d%d", &a, &b);
query(ptr[a], ptr[b]);
}
}
}
}
} S;
int main() {
S.work();
}

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#include <cstdio>
#include <iostream>
#include <cstring>
#include <algorithm>
using namespace std;
double POW(int n)
{
double s = 1;
for(int i = 1; i <= n; i++)
{
s*=0.95;
}
return s;
}
int main()
{
int n;
int t;
double a[57];
while(~scanf("%d",&t))
{
while(t--)
{
scanf("%d",&n);
for(int i = 1; i <= n; i++)
{
scanf("%lf",&a[i]);
}
sort(a+1,a+n+1);
double ans = 0;
int j = 0;
for(int i = n; i >= 1; i--)
{
ans+=a[i]*POW(j++);
}
printf("%.10lf\n",ans);
}
}
return 0;
}

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#include <cstdio>
#include <cstring>
#include <queue>
using namespace std;
const int ROW = 16;
const int COL = 10;
const int dr[] = {-1, 0, 1, 0};
const int dc[] = { 0, 1, 0,-1};
struct Node {
int r,c;
Node() {}
Node(int _r,int _c) {
r = _r;
c = _c;
}
};
int n;
bool ok;
char grid[ROW+1][COL+1];
int ans[ROW*COL];
bool full() {
for(int i = 1; i <= ROW; i++) {
for(int j = 1; j <= COL; j++) {
if(grid[i][j] != grid[1][1]) {
return false;
}
}
}
return true;
}
void dfs(int x,int y,int cur) {
char now[ROW+1][COL+1];
int vis[ROW+1][COL+1];
if(cur == n) {
if(full()) {
ok = true;
}
return ;
}
int color = grid[x][y] - '0';
for(int i = 1; i <= 4; i++) {
if(color == i) {
continue;
}
memset(vis,0,sizeof(vis));
memcpy(now,grid,sizeof(grid));
queue<Node> que;
que.push(Node(x,y));
vis[x][y] = true;
int r,c;
while(!que.empty()) {
Node front = que.front();
que.pop();
grid[front.r][front.c] = i + '0';
for(int d = 0; d < 4; d++) {
r = front.r + dr[d];
c = front.c + dc[d];
if(grid[r][c] - '0' != color || vis[r][c]) {
continue;
}
vis[r][c] = true;
que.push(Node(r,c));
}
}
ans[cur] = i;
dfs(x,y,cur+1);
if(ok) {
return ;
}
memcpy(grid,now,sizeof(grid));
}
}
void solve() {
scanf("%d",&n);
memset(grid,0,sizeof(grid));
for(int i = 1; i <= ROW; i++) {
scanf("%s",grid[i]+1);
}
for(int i = 1; i <= ROW; i++) {
for(int j = 1; j <= COL; j++) {
if(grid[i-1][j] == grid[i][j] || grid[i][j-1] == grid[i][j]) {
continue;
}
ok = false;
dfs(i,j,0);
if(ok) {
for(int k = 0; k < n; k++)
printf("%d %d %d\n",ans[k],i,j);
return;
}
}
}
}
int main() {
int t,cas = 1;
scanf("%d",&t);
while(t--) {
printf("Case #%d:\n",cas++);
solve();
}
return 0;
}

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#include <iostream>
#include <string.h>
#include <stdio.h>
#include <algorithm>
#include <vector>
#define maxn 210
using namespace std;
struct node{
int id,A,B;
node(){}
node(int x,int y,int z){
id=x,A=y,B=z;
}
};
vector<int> e[maxn];
vector<node> vec;
int bel[maxn],A[maxn],B[maxn],dp[maxn][2],vis[maxn];;
bool cmp(const node &x,const node &y){
return x.B>y.B;
}
void init(int n){
for(int i=1;i<=n;i++)
e[i].clear();
}
void dfs1(int now){
if(dp[now][0]!=-1)
return;
if(bel[now]==-1){
dp[now][0]=A[now];
dp[now][1]=B[now];
return;
}
for(int i=0;i<e[now].size();i++){
int v=e[now][i];
dfs1(v);
if(bel[now]==0){
if(dp[v][0]>dp[now][0]){
dp[now][0]=dp[v][0];
dp[now][1]=dp[v][1];
}
}
else{
if(dp[v][1]>dp[now][1]){
dp[now][0]=dp[v][0];
dp[now][1]=dp[v][1];
}
}
}
}
int dfs2(int now,int limit){
if(vis[now]!=-1)
return vis[now];
if(bel[now]==-1){
if(A[now]>limit)
return vis[now]=0;
return vis[now]=1;
}
for(int i=0;i<e[now].size();i++){
int v=e[now][i];
dfs2(v,limit);
}
for(int i=0;i<e[now].size();i++){
int v=e[now][i];
if(bel[now]==0){
if(!vis[v])
return vis[now]=0;
}
else if(vis[v])
return vis[now]=1;
}
if(bel[now]==0)
return vis[now]=1;
return vis[now]=0;
}
int dfs3(int now,int limit){
if(bel[now]==-1){
return limit==A[now];
}
for(int i=0;i<e[now].size();i++){
int v=e[now][i];
if(vis[v]==1&&dfs3(v,limit))
return 1;
}
return 0;
}
int main()
{
int ncase,n,num,x;
char typ[4];
scanf("%d",&ncase);
while(ncase--){
scanf("%d",&n);
init(n);
vec.clear();
memset(bel,-1,sizeof(bel));
memset(dp,-1,sizeof(dp));
for(int i=1;i<=n;i++){
scanf("%d",&num);
if(num==0){
scanf("%d%d",&A[i],&B[i]);
vec.push_back(node(i,A[i],B[i]));
}
else{
for(int j=0;j<num;j++){
scanf("%d",&x);
e[i].push_back(x);
}
scanf("%s",typ);
if(typ[0]=='A')
bel[i]=0;
else
bel[i]=1;
}
}
dfs1(1);
int ans1=dp[1][1];
sort(vec.begin(),vec.end(),cmp);
int ans2=-1;
for(int i=0;i<(int)vec.size();i++){
memset(vis,-1,sizeof(vis));
int now=vec[i].id;
if(dp[now][0]==-1)
continue;
if(dfs2(1,vec[i].A)){
if(dfs3(1,vec[i].A)){
ans2=vec[i].B;
break;
}
}
}
printf("%d %d\n",ans1,ans2);
}
return 0;
}

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#include <iostream>
#include <cstdio>
#include <cstring>
#include <cassert>
#include <queue>
#include <vector>
#include <map>
#include <set>
#include <cmath>
#include <algorithm>
using namespace std;
#define rep(i,a,b) for(int i=(a);i<(int)(b);++i)
#define rrep(i,b,a) for(int i=(b);i>=(int)(a);--i)
#define eps 1e-8
#define clr(a,x) memset(a,x,sizeof(a))
#define LL long long
const int maxn = 10000+5;
int p[maxn];
int find(int x)
{
if (x == p[x]) return x;
return p[x] = find(p[x]);
}
int u[maxn*4],v[maxn*4],c[maxn*4];
int id[maxn],tot;
double A[500][500];
int N,M,S,T;
void input()
{
scanf("%d%d%d%d",&N,&M,&S,&T);
rep(i,0,M) scanf("%d%d%d",u+i,v+i,c+i);
}
void gauss(int n)
{
int i , j , k , r;
for(i=0; i < n; ++i) {
r = i;
for(j = i+1; j <= n; ++j)
if (fabs(A[j][i]) > fabs(A[r][i])) r = j;
if (r != i) for(j = 0; j <= n; ++j) swap(A[r][j],A[i][j]);
for(j = i+1; j <= n; ++j) A[i][j] /= A[i][i];
A[i][i] = 1.0;
for(k = 0; k < n; ++k) {
if (fabs(A[k][i]) < eps || i == k) continue;
double f = A[k][i];
for(j = 0; j <= n; ++j) A[k][j] -= f * A[i][j];
}
}
}
void solve()
{
rep(i,1,N+1) p[i] = i;
rep(i,0,M) if (c[i] == 0)
p[find(u[i])] = find(p[v[i]]);
if (find(S) == find(T)) {
printf("0.000000\n");
return;
}
tot = 0;
rep(i,1,N+1)
if (find(i) == i) id[i] = tot++;
rep(i,1,N+1)
id[i] = id[find(i)];
rep(i,0,tot) p[i] = i;
rep(i,0,M) p[find(u[i])] = find(v[i]);
if (find(S) != find(T)) {
puts("inf");
return;
}
clr(A,0);
rep(i,0,M) {
if (id[u[i]] == id[v[i]]) continue;
int x = id[u[i]] , y = id[v[i]];
++A[x][x]; --A[x][y];
++A[y][y]; --A[y][x];
}
S = id[S]; T = id[T];
A[S][tot] = 1.0; A[T][tot] = -1.0;
A[tot-1][S]++;
gauss(tot);
printf("%.6lf\n",-A[T][tot] + A[S][tot] + eps);
}
int main()
{
int T; cin >> T;
while (T--) {
input();
solve();
}
}

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#include<cstdio>
#include<cstring>
char str[20000];
int main()
{
int i;
while(gets(str))
{
int len=strlen(str);
for(i=0; i<len; i++)
{
if(str[i]=='A' && str[i+1]=='p' && str[i+2]=='p' && str[i+3]=='l' && str[i+4]=='e')
{
printf("MAI MAI MAI!\n");
}
if(str[i]=='i' && str[i+1]=='P' && str[i+2]=='h' && str[i+3]=='o' && str[i+4]=='n'&&str[i+5] == 'e')
{
printf("MAI MAI MAI!\n");
}
if(str[i]=='i' && str[i+1]=='P' && str[i+2]=='a' && str[i+3]=='d')
{
printf("MAI MAI MAI!\n");
}
if(str[i]=='i' && str[i+1]=='P' && str[i+2]=='o' && str[i+3]=='d')
{
printf("MAI MAI MAI!\n");
}
if(str[i]=='S' && str[i+1]=='o' && str[i+2]=='n' && str[i+3]=='y')
{
printf("SONY DAFA IS GOOD!\n");
}
}
}
return 0;
}

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#include <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>
#define root 1,n,1
#define lson l,mid,rt<<1
#define rson mid+1,r,rt<<1|1
#define M 120010
#define INF 10000007
using namespace std;
typedef long long LL;
LL ran[M],sa[M],X[M],Y[M],high[M],init[M];
LL buc[M];
struct SegmentTree{
LL Min[M << 2];
void pushup(LL rt){
Min[rt] = min(Min[rt<<1],Min[rt<<1|1]);
}
void build(LL l,LL r,LL rt){
if(l == r){
Min[rt] = sa[l];
return;
}
LL mid = (l + r) >> 1;
build(lson);
build(rson);
pushup(rt);
}
LL query(LL L,LL R,LL l,LL r,LL rt){
if(L <= l && r <= R){
return Min[rt];
}
LL mid = (l + r) >> 1;
LL ans = INF;
if(L <= mid) ans = min(query(L,R,lson),ans);
if(mid + 1 <= R) ans = min(query(L,R,rson),ans);
return ans;
}
};
SegmentTree sgt;
void calhigh(LL n) {
LL i , j , k = 0;
for(i = 1 ; i <= n ; i++) ran[sa[i]] = i;
for(i = 0 ; i < n ; high[ran[i++]] = k)
for(k?k--:0 , j = sa[ran[i]-1] ; init[i+k] == init[j+k] ; k++);
}
bool cmp(LL *r,LL a,LL b,LL l) {
return (r[a] == r[b] && r[a+l] == r[b+l]);
}
void suffix(LL n,LL m = 128) {
LL i , l , p , *x = X , *y = Y;
for(i = 0 ; i < m ; i ++) buc[i] = 0;
for(i = 0 ; i < n ; i ++) buc[ x[i] = init[i] ] ++;
for(i = 1 ; i < m ; i ++) buc[i] += buc[i-1];
for(i = n - 1; i >= 0 ; i --) sa[ --buc[ x[i] ]] = i;
for(l = 1,p = 1 ; p < n ; m = p , l *= 2) {
p = 0;
for(i = n-l ; i < n ; i ++) y[p++] = i;
for(i = 0 ; i < n ; i ++) if(sa[i] >= l) y[p++] = sa[i] - l;
for(i = 0 ; i < m ; i ++) buc[i] = 0;
for(i = 0 ; i < n ; i ++) buc[ x[y[i]] ] ++;
for(i = 1 ; i < m ; i ++) buc[i] += buc[i-1];
for(i = n - 1; i >= 0 ; i --) sa[ --buc[ x[y[i]] ] ] = y[i];
for(swap(x,y) , x[sa[0]] = 0 , i = 1 , p = 1 ; i < n ; i ++)
x[ sa[i] ] = cmp(y,sa[i-1],sa[i],l) ? p-1 : p++;
}
calhigh(n-1);
}
LL Log[M];
LL best[20][M];
void initRMQ(LL n) {
for(LL i = 1; i <= n ; i ++) best[0][i] = high[i];
for(LL i = 1; i <= Log[n] ; i ++) {
LL limit = n - (1<<i) + 1;
for(LL j = 1; j <= limit ; j ++) {
best[i][j] = min(best[i-1][j] , best[i-1][j+(1<<i>>1)]);
}
}
}
LL lcp(LL a,LL b) {
if(a>b)return 0;
LL t = Log[b - a + 1];
return min(best[t][a] , best[t][b - (1<<t) + 1]);
}
char str[M];
LL dlen[M];
void getlen(LL n,LL len){
for(LL i=1;i<=n;i++){
dlen[i]=len-sa[i]-high[i];
}
for(LL i=1;i<=n;i++){
dlen[i]+=dlen[i-1];
}
}
void findK(LL n,LL k,LL &start,LL &len){
if(k>dlen[n]||k<=0){
start=len=0;
return ;
}
LL l=1,r=n;
while(l<=r){
LL mid=(l+r)>>1;
if(dlen[mid]>=k) r=mid-1;
else l=mid+1;
}
start=l;
len=k-dlen[start-1]+high[start];
}
LL findLcp(LL start,LL len,LL n){
LL l=start + 1,r=n;
while(l<=r){
LL mid=(l+r)>>1;
if(lcp(start+1,mid)>=len)l=mid+1;
else r=mid-1;
}
return sgt.query(start,r,root);
}
int main() {
LL l,r,q;
LL v,u;
LL start,llen;
Log[0] = -1;
for(LL i = 1; i < M ; i ++) {
Log[i] = (i&(i-1)) ? Log[i-1] : Log[i-1] + 1 ;
}
while(scanf("%s",str)!=EOF){
l = r = 0;
LL n=strlen(str);
for(LL i=0;i<n;i++)init[i]=str[i];
init[n]=0;
suffix(n+1);
initRMQ(n);
getlen(n,n);
sgt.build(root);
scanf("%I64d",&q);
for(LL i=1;i<=q;i++){
scanf("%I64d",&v);
u=(l^r^v)+1;
findK(n,u,start,llen);
if(llen==0&&start==0){
l=0,r=0;
printf("0 0\n");
continue;
}
LL ans=findLcp(start,llen,n);
l=ans;r=ans+llen-1;
l++;r++;
printf("%I64d %I64d\n",l,r);
}
}
}

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#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <vector>
using namespace std ;
const int INF=0xfffffff ;
int n,dp[50005] ;
struct node
{
int num ;
int id,rank ;
}kk[50005] ;
int a[50005] ;
int vis[50005] ;
int cmp1(node aa,node bb)
{
return aa.num<bb.num ;
}
int cmp2(node aa,node bb)
{
return aa.id<bb.id ;
}
int main()
{
while(~scanf("%d",&n))
{
for(int i=1 ;i<=n ;i++)
{
scanf("%d",&a[i]) ;
}
int m=n ;
for(int i=2 ;i<=n ;i++)
{
if(a[i]==a[i-1])
{
m-- ;
}
}
int cnt=2 ;
kk[1].id=1 ;kk[1].num=a[1] ;
for(int i=2 ;i<=n ;i++)
{
if(a[i]!=a[i-1])
{
kk[cnt].id=cnt ;
kk[cnt].num=a[i] ;
cnt++ ;
}
}
sort(kk+1,kk+1+m,cmp1) ;
kk[1].rank=1 ;
cnt=2 ;
for(int i=2 ;i<=m ;i++)
{
if(kk[i].num!=kk[i-1].num)
{
kk[i].rank=cnt++ ;
}
else kk[i].rank=kk[i-1].rank ;
}
sort(kk+1,kk+1+m,cmp2) ;
for(int i=0 ;i<50005 ;i++)
dp[i]=INF ;
dp[0]=0 ;
dp[m]=m ;
vector <int> v ;
for(int i=0 ;i<m ;i++)
{
cnt=0 ;
for(int j=i+1 ;j<=m ;j++)
{
if(!vis[kk[j].rank])
{
v.push_back(kk[j].rank) ;
vis[kk[j].rank]=1 ;
cnt++ ;
}
if(dp[i]+cnt*cnt>=dp[m])break ;
dp[j]=min(dp[j],dp[i]+cnt*cnt) ;
}
for(int j=0 ;j<v.size() ;j++)
vis[v[j]]=0 ;
v.clear() ;
}
printf("%d\n",dp[m]) ;
}
return 0 ;
}

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#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cstring>
#include<cmath>
#include<vector>
#include<queue>
#include<map>
#include<set>
#include<time.h>
#include<string>
#define REP(i,n) for(int i=0;i<n;++i)
#define REP1(i,a,b) for(int i=a;i<=b;++i)
#define REP2(i,a,b) for(int i=a;i>=b;--i)
#define MP make_pair
#define LL long long
#define ULL unsigned long long
#define X first
#define Y second
#define MAXN 1000050
using namespace std;
map<ULL, int> mp;
int dx[] = { 0, 0, 1, -1 };
int dy[] = { 1, -1, 0, 0 };
char s[6][9];
int id[6][9];
int qx[100];
int qy[100];
int qcnt;
ULL q[MAXN];
ULL bas[100];
struct node {
char a[6][9];
int scnt;
node() {
}
;
node(ULL now) {
scnt = 0;
REP(i,6)
REP(j,8)
a[i][j] = s[i][j];
REP(i,qcnt)
{
ULL k = now & 3;
now >>= 2;
if (k == 0)
continue;
if (k == 1) {
a[qx[i]][qy[i]] = 'S';
scnt++;
}
if (k == 2)
a[qx[i]][qy[i]] = 'M';
if (k == 3)
a[qx[i]][qy[i]] = 'P';
}
}
};
void init() {
qcnt = 0;
int cid = 0;
memset(id, -1, sizeof(id));
REP(i,6)
REP(j,8)
{
if (s[i][j] == '#' || s[i][j] == 'N')
continue;
qx[qcnt] = i;
qy[qcnt++] = j;
id[i][j] = cid++;
}
}
ULL geths(char s[6][9]) {
ULL ans = 0;
REP(i,6)
REP(j,8)
{
if (s[i][j] == 'S') {
ans += bas[id[i][j] << 1];
continue;
}
if (s[i][j] == 'M') {
ans += 2 * bas[id[i][j] << 1];
continue;
}
if (s[i][j] == 'P') {
ans += 3 * bas[id[i][j] << 1];
}
}
return ans;
}
bool check(int x, int y) {
if (x < 0 || x >= 6 || y < 0 || y >= 8)
return false;
return true;
}
node move(node a, int x, int y, int dxx, int dyy, int &p) {
char c = a.a[x][y];
while (true) {
int xx = x + dxx;
int yy = y + dyy;
if ((!check(xx, yy)) || a.a[xx][yy] != '.') {
p = 1;
return a;
}
a.a[xx][yy] = a.a[x][y];
a.a[x][y] = '.';
if (c == 'P') {
int flag=0;
for (int j = 0; j < 4; ++j) {
int px = xx + dx[j];
int py = yy + dy[j];
if (!check(px, py))
continue;
if (a.a[px][py] == 'N') {
p = 0;
return a;
}
if (a.a[px][py] == 'S' || a.a[px][py] == 'M') {
if (a.a[px][py] == 'S') {
a.scnt--;
if (a.scnt == 0) {
p = 0;
return a;
}
}
a.a[px][py] = '.';
flag=1;
}
}
if(flag)
{
p=1;
return a;
}
} else {
for (int i = 0; i < 4; ++i) {
int px = xx + dx[i];
int py = yy + dy[i];
if (!check(px, py))
continue;
if (a.a[px][py] == 'P') {
if (c == 'S') {
a.scnt--;
if (a.scnt == 0) {
p = 0;
return a;
}
}
a.a[xx][yy] = '.';
p = 1;
return a;
}
}
for (int i = 0; i < 4; ++i) {
int px = xx + dx[i];
int py = yy + dy[i];
if (!check(px, py))
continue;
if (a.a[px][py] == 'N') {
if (c == 'S') {
p = 2;
return a;
}
p = 0;
return a;
}
}
}
x = xx;
y = yy;
}
return a;
}
int d[MAXN];
int bfs(ULL st) {
int tail = 0;
d[0] = 0;
q[tail++] = st;
mp.clear();
mp[st] = 1;
for (int i = 0; i < tail; ++i) {
node a = node(q[i]);
REP(j,6)
REP(k,8)
{
if (a.a[j][k] == 'S' || a.a[j][k] == 'M' || a.a[j][k] == 'P') {
for (int x = 0; x < 4; ++x) {
int p;
node e = move(a, j, k, dx[x], dy[x], p);
if (p == 2) {
return d[i] + 1;
}
if (p == 1) {
ULL hs = geths(e.a);
if (mp.find(hs) == mp.end()) {
mp[hs] = 1;
q[tail] = hs;
d[tail++] = d[i] + 1;
}
}
}
}
}
}
printf("tail:%d\n",tail);
return -1;
}
int main() {
bas[0] = 1;
for (int i = 1; i <= 64; ++i)
bas[i] = bas[i - 1] * 2;
while(scanf(" %s",s[0])!=EOF){
for(int i=1;i<6;++i)scanf(" %s",s[i]);
init();
ULL hs=geths(s);
REP(i,6)REP(j,8)if(s[i][j]=='S'||s[i][j]=='M'||s[i][j]=='P')s[i][j]='.';
int ans=bfs(hs);
printf("%d\n",ans);
}
return 0;
}

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#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cmath>
#include <string>
#include <cstring>
#include <queue>
#include <stack>
#include <vector>
#include <set>
#include <map>
const int inf=0xfffffff;
typedef long long ll;
using namespace std;
int main()
{
int n;
ll a, s;
while(~scanf("%d", &n)){
scanf("%I64d", &s);
for(int i=1; i<n; i++){
scanf("%I64d", &a);
s ^= a;
}
if(!s) printf("Lose\n");
else printf("Win\n");
}
return 0;
}

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#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <iostream>
using namespace std;
struct node
{
int s1,s2,s3,s4,s5,s6;
int sum;
} q[800000];
int a[7],b[7];
int c[7][7][7][7][7][7];
void bfs()
{
memset(c,0,sizeof(c));
struct node t,r;
t.s1=b[1];
t.s2=b[2];
t.s3=b[3];
t.s4=b[4];
t.s5=b[5];
t.s6=b[6];
t.sum=0;
int k=0,l=0;
q[l++]=t;
while(k<l)
{
t=q[k++];
if(t.s1==a[1] && t.s2==a[2] && t.s3==a[3] && t.s4==a[4] && t.s5==a[5] && t.s6==a[6])
{
printf("%d\n",t.sum);
return ;
}
for(int i=0; i<4; i++)
{
if(i==0)
{
r.s1=t.s4;
r.s2=t.s3;
r.s3=t.s1;
r.s4=t.s2;
r.s5=t.s5;
r.s6=t.s6;
}
else if(i==1)
{
r.s1=t.s3;
r.s2=t.s4;
r.s3=t.s2;
r.s4=t.s1;
r.s5=t.s5;
r.s6=t.s6;
}
else if(i==2)
{
r.s1=t.s5;
r.s2=t.s6;
r.s3=t.s3;
r.s4=t.s4;
r.s5=t.s2;
r.s6=t.s1;
}
else
{
r.s1=t.s6;
r.s2=t.s5;
r.s3=t.s3;
r.s4=t.s4;
r.s5=t.s1;
r.s6=t.s2;
}
if(!c[r.s1][r.s2][r.s3][r.s4][r.s5][r.s6])
{
c[r.s1][r.s2][r.s3][r.s4][r.s5][r.s6]=1;
r.sum=t.sum+1;
q[l++]=r;
}
}
}
printf("-1\n");
}
int main()
{
while(~scanf("%d",&a[1]))
{
for(int i=2; i<=6; i++)
scanf("%d",&a[i]);
for(int i=1; i<=6; i++)
scanf("%d",&b[i]);
bfs();
}
return 0;
}

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#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <cstring>
#include <string>
#include <queue>
#include <stack>
#include <iostream>
#include <algorithm>
using namespace std;
#define RD(x) scanf("%d",&x)
#define RD2(x,y) scanf("%d%d",&x,&y)
#define RD3(x,y,z) scanf("%d%d%d",&x,&y,&z)
#define clr0(x) memset(x,0,sizeof(x))
typedef long long LL;
const int maxn = 20;
int n, m;
double p[maxn][maxn],h[maxn][maxn],f[maxn][maxn][maxn],g[maxn][maxn][maxn];
int main() {
while (~RD2(m,n)) {
for (int i = 1; i <= m; i++) {
scanf("%lf", &p[i][1]);
p[i][0] = 1.0;
for (int j = 2; j <= n; j++) {
p[i][j] = p[i][j - 1] * p[i][1];
}
}
for (int i = 1; i <= m; i++) {
for (int j = 1; j <= n; j++) {
scanf("%lf", &h[i][j]);
}
}
clr0(f),clr0(g);
double ans = 0;
for (int i = 2; i <= n; i++) {
f[i][0][0] = 1;
for (int j = 1; j <= m; j++) {
for (int x = m; x >= 0; x--) {
for (int y = x; y >= 0; y--) {
f[i][x][y] *= (1.0 - p[j][i - 2]);
if (x > 0) {
f[i][x][y] += f[i][x - 1][y] * p[j][i - 2] * (1.0 - p[j][1]);
if (y > 0) {
f[i][x][y] += f[i][x - 1][y - 1] * p[j][i - 1];
}
}
g[i][x][y] *= (1.0 - p[j][i - 2]);
if (x > 0) {
g[i][x][y] += g[i][x - 1][y] * p[j][i - 2] * (1.0 - p[j][1]);
if (y > 0) {
g[i][x][y] += (g[i][x - 1][y - 1] + f[i][x - 1][y - 1] * h[j][i]) * p[j][i - 1];
}
}
}
}
}
for (int x = 1; x <= m; x++) {
for (int y = 1; y <= x; y++) {
ans += g[i][x][y] * ((double)y / x + 1.0);
}
}
}
for (int i = 1; i <= m; i++) {
ans += h[i][1];
}
printf("%.10f\n", ans);
}
return 0;
}

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#include <stdio.h>
#include <string.h>
#include <math.h>
#include <queue>
#include <stack>
#include <map>
#include <algorithm>
using namespace std;
#define ll __int64
#define up(i,x,y) for(i=x;i<=y;i++)
#define up2(i,x,y) for(i=x;y;i++)
#define down(i,x,y) for(i=x;i>=y;i--)
#define down2(i,x,y) for(i=x;y;i--)
#define mem(a,b) memset(a,b,sizeof(a))
#define s(a) scanf("%d",&a)
#define s64(a) scanf("%I64d",&a)
#define w(a) while(a)
int n,a[100005],i,has[100005];
int main()
{
w(~s(n))
{
up(i,0,n)
s(a[i]);
printf("%I64d\n",(ll)n*n+n);
mem(has,-1);
down(i,n,0)
{
if(has[i]>=0) continue;
int num=0,s=1,t=i;
w(t)
{
int tem=((t&1)^1);
num=num+s*tem;
s*=2;
t=t/2;
}
has[num]=i;
has[i]=num;
}
printf("%d",has[a[0]]);
up(i,1,n)
printf(" %d",has[a[i]]);
printf("\n");
}
return 0;
}

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#include<stdio.h>
#include<iostream>
#include<stdlib.h>
#include<string.h>
#include<algorithm>
#include<vector>
#include<math.h>
#include<queue>
#include<stack>
#include<map>
#pragma comment(linker, "/STACK:1024000000,1024000000")
using namespace std;
#define maxn 110000
#define mod 10000007
#define LL __int64
struct matrix
{
LL mat[15][15];
matrix()
{
memset(mat,0,sizeof(mat));
}
};
int a[11];
int n;
matrix mul(matrix A,matrix B)
{
matrix C;
int i,j,k;
for(i=1; i<=n+2; i++)
{
for(j=1; j<=n+2; j++)
{
for(k=1; k<=n+2; k++)
{
C.mat[i][j]=(C.mat[i][j]+A.mat[i][k]*B.mat[k][j])%mod;
}
}
}
return C;
}
matrix powmul(matrix A,int k)
{
matrix B;
for(int i=1;i<=n+2;i++)B.mat[i][i]=1;
while(k>=1)
{
if(k&1)B=mul(B,A);
A=mul(A,A);
k=k/2;
}
return B;
}
void print(matrix A)
{
cout<<"matrix A"<<endl;
for(int i=1;i<=n+2;i++)
{
for(int j=1;j<=n+2;j++)
{
cout<<A.mat[i][j]<<" ";
}
cout<<endl;
}
}
int main()
{
int m;
while(~scanf("%d%d",&n,&m))
{
matrix A,B;
A.mat[1][1]=23;
for(int i=1;i<=n;i++)
{
scanf("%d",&A.mat[i+1][1]);
}
A.mat[n+2][1]=3;
for(int i=1;i<=n+1;i++)B.mat[i][1]=10;
for(int i=1;i<=n+2;i++)B.mat[i][n+2]=1;
for(int i=2;i<=n+1;i++)
{
for(int j=2;j<=i;j++)B.mat[i][j]=1;
}
B=powmul(B,m);
A=mul(B,A);
cout<<A.mat[n+1][1]<<endl;
}
return 0;
}

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#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
using namespace std;
const int MAXN = 100010;
const int INF = 0x3f3f3f3f;
struct Edge{
int to,next,w;
}edge[MAXN*2];
int head[MAXN],tot;
void init(){
tot = 0;
memset(head,-1,sizeof(head));
}
inline void addedge(int u,int v,int w){
edge[tot].to = v;
edge[tot].w = w;
edge[tot].next = head[u];
head[u] = tot++;
}
int size[MAXN],vis[MAXN],fa[MAXN],que[MAXN];
int TT;
inline int getroot(int u){
int Min = MAXN, root = 0;
int l,r;
que[l = r = 1] = u;
fa[u] = 0;
for(;l <= r;l++)
for(int i = head[que[l]]; i != -1;i = edge[i].next){
int v = edge[i].to;
if(v == fa[que[l]] || vis[v] == TT)continue;
que[++r] = v;
fa[v] = que[l];
}
for(l--;l;l--){
int x = que[l], Max = 0;
size[x] = 1;
for(int i = head[x];i != -1;i = edge[i].next){
int v = edge[i].to;
if(v == fa[x] || vis[v] == TT)continue;
Max = max(Max,size[v]);
size[x] += size[v];
}
Max = max(Max,r - size[x]);
if(Max < Min){
Min = Max; root = x;
}
}
return root;
}
int ans[MAXN];
pair<int,int>pp[MAXN];
pair<int,int>np[MAXN];
int dis[MAXN];
int type[MAXN];
inline void go(int u,int pre,int w,int tt){
int l,r;
que[l = r = 1] = u;
fa[u] = pre; dis[u] = w;
for(;l <= r;l++)
for(int i = head[que[l]];i != -1;i = edge[i].next){
int v = edge[i].to;
if(v == fa[que[l]] || vis[v] == TT)continue;
que[++r] = v;
fa[v] = que[l];
dis[v] = dis[que[l]] + edge[i].w;
}
int cnt = 0;
for(int i = 1;i <= r;i++){
int x = que[i];
pp[cnt++] = make_pair(np[x].first-dis[x],np[x].second);
}
sort(pp,pp+cnt);
for(int i = 1;i <= r;i++){
int x = que[i];
if(type[x])continue;
int id = lower_bound(pp,pp+cnt,make_pair(dis[x],x)) - pp;
ans[x] += (cnt-id)*tt;
}
}
void solve(int u){
int root = getroot(u);
vis[root] = TT;
go(root,0,0,1);
for(int i = head[root];i != -1;i = edge[i].next){
int v = edge[i].to;
if(vis[v] == TT)continue;
go(v,root,edge[i].w,-1);
}
for(int i = head[root];i != -1;i = edge[i].next){
int v = edge[i].to;
if(vis[v] == TT)continue;
solve(v);
}
}
bool ff[MAXN];
int main()
{
int n;
memset(vis,0,sizeof(vis));
TT = 0;
while(scanf("%d",&n) == 1){
init();
int u,v,w;
for(int i = 1;i < n;i++){
scanf("%d%d%d",&u,&v,&w);
addedge(u,v,w);
addedge(v,u,w);
}
for(int i = 1;i <= n;i++)scanf("%d",&type[i]);
queue<int>q;
for(int i = 1;i <= n;i++){
if(type[i]){
np[i] = make_pair(0,i);
ff[i] = true;
q.push(i);
}
else{
np[i] = make_pair(INF,0);
ff[i] = false;
}
}
while(!q.empty()){
u = q.front();
q.pop();
ff[u] = false;
for(int i = head[u];i != -1;i = edge[i].next){
v = edge[i].to;
pair<int,int>tmp = make_pair(np[u].first+edge[i].w,np[u].second);
if(tmp < np[v]){
np[v] = tmp;
if(!ff[v]){
ff[v] = true;
q.push(v);
}
}
}
}
TT++;
for(int i = 1;i <= n;i++)ans[i] = 0;
solve(1);
int ret = 0;
for(int i = 1;i <= n;i++)ret = max(ret,ans[i]);
printf("%d\n",ret);
}
return 0;
}

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#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#define Mod 1000000007
#define eps 1e-8
using namespace std;
int dx[8] = {0,0,1,-1,1,-1,1,-1};
int dy[8] = {1,-1,0,0,1,1,-1,-1};
double a,b,c,d,e,f;
double dis(double x,double y,double z)
{
return sqrt(x*x + y*y + z*z);
}
double calc(double x,double y)
{
double A = c;
double B = d*y+e*x;
double C = f*x*y + a*x*x + b*y*y - 1.0;
double delta = B*B-4.0*A*C;
if(delta < 0.0) return Mod+10.0;
delta = sqrt(delta);
double soz1 = (-B + delta)/(2.0*A);
double soz2 = (-B - delta)/(2.0*A);
if(dis(x,y,soz1) < dis(x,y,soz2))
return soz1;
return soz2;
}
double Simulated_Annealing()
{
double x = 0,y = 0,z = sqrt(1.0/c);
double step = 1.0, rate = 0.99;
while(step > eps)
{
for(int k=0;k<8;k++)
{
double kx = x + step*dx[k];
double ky = y + step*dy[k];
double kz = calc(kx,ky);
if(kz >= Mod) continue;
if(dis(kx,ky,kz) < dis(x,y,z))
{
x = kx,y = ky,z = kz;
}
}
step *= rate;
}
return dis(x,y,z);
}
int main()
{
while(scanf("%lf%lf%lf%lf%lf%lf",&a,&b,&c,&d,&e,&f)!=EOF)
{
printf("%.7f\n",Simulated_Annealing());
}
return 0;
}

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#include<cstdio>
#include<iostream>
#include<cmath>
#include<algorithm>
#include<cstring>
using namespace std;
int main()
{
int F[1000];
int A,B,C,T,i;
scanf("%d",&T);
while(T--)
{
scanf("%d%d%d",&A,&B,&C);
F[0]=A,F[1]=B;
int flag=0;
for(i=2;;i++)
{
F[i]=F[i-1]+F[i-2];
if(F[i]==C)
{
flag=1;
break;
}
if(F[i]>C)
{
break;
}
}
if(F[0]==C||F[1]==C) flag=1;
if(flag==1)
{
printf("Yes\n");
}
else
{
printf("No\n");
}
}
return 0;
}

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#include <iostream>
#include <algorithm>
#include <vector>
#include <cstdio>
#include <cstdlib>
using namespace std;
typedef __int64 LL;
LL gcd(LL a, LL b)
{
if(b==0)
return a;
return gcd(b, a%b);
}
int main()
{
LL a, b, c;
int T;
vector<LL> v;
scanf("%d", &T);
while(T--)
{
scanf("%I64d%I64d%I64d", &a, &b, &c);
LL temp = gcd(a, b);
v.clear();
int cnt = 0;
for(LL i=1; i*i<=temp; ++i)
{
if(temp%i==0)
{
v.push_back(i);
if(i*i!=temp)
v.push_back(temp/i);
}
}
sort(v.begin(), v.end());
if(v.size() >= c)
printf("%I64d\n", v[v.size()-c]);
else
printf("-1\n");
}
return 0;
}

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#include <iostream>
#include <cstring>
#include <string>
#include <algorithm>
#include <cmath>
#include <vector>
#include <set>
#include <queue>
#include <map>
using namespace std;
#define INF 1e9
#define maxn 1010
#define rep(i,x,y) for(int i=x;i<=y;i++)
#define mset(x) memset(x,0,sizeof(x))
typedef pair<int, int> pii;
int t, n;
struct point{
int x, y;
}p[maxn];
map< pii, int > tb;
map< pii, int >::iterator it;
bool cmp(const point& a, const point& b){
return (a.x==b.x&&a.y<b.y) || a.x<b.x;
}
int gcd(int a, int b){
if(b==0) return a;
return gcd(b, a%b);
}
int main(){
cin>>t;
while(t--){
cin>>n;
rep(i,1,n) scanf("%d%d", &p[i].x, &p[i].y);
sort(p+1, p+n+1, cmp);
int cnt=0;
rep(i,1,n-2){
tb.clear();
rep(j,i+1,n){
int dx = p[j].x - p[i].x;
int dy = p[j].y - p[i].y;
int d = gcd(dx, dy);
dx = dx/d;
dy = dy/d;
tb[make_pair(dx,dy)]++;
}
for(it=tb.begin(); it!=tb.end(); it++){
int x = it->second;
if(x>=2)
cnt += x*(x-1)/2; //C(x,2)
}
}
cout<<cnt<<endl;
}
return 0;
}

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#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std ;
typedef long long LL ;
#define travel( e , H , u ) for ( Edge* e = H[u] ; e ; e = e -> next )
#define rep( i , a , b ) for ( int i = ( a ) ; i < ( b ) ; ++ i )
#define rev( i , a , b ) for ( int i = ( a ) ; i >= ( b ) ; -- i )
#define FOR( i , a , b ) for ( int i = ( a ) ; i <= ( b ) ; ++ i )
#define clr( a , x ) memset ( a , x , sizeof a )
#define cpy( a , x ) memcpy ( a , x , sizeof a )
const int MAXN = 100005 ;
struct Node {
int x , idx ;
double v ;
bool operator < ( const Node& a ) const {
return x < a.x ;
}
} p[MAXN] ;
int idx[MAXN] ;
int n , m ;
double T[MAXN] ;
void add ( int x , double v ) {
while ( x <= n ) {
T[x] += v ;
x += x & -x ;
}
}
double sum ( int x , double ans = 0 ) {
while ( x ) {
ans += T[x] ;
x -= x & -x ;
}
return ans ;
}
int L_find ( int x ) {
int l = 1 , r = n ;
while ( l < r ) {
int m = ( l + r ) >> 1 ;
if ( p[m].x >= x ) r = m ;
else l = m + 1 ;
}
return l ;
}
int R_find ( int x ) {
int l = 1 , r = n ;
while ( l < r ) {
int m = ( l + r + 1 ) >> 1 ;
if ( p[m].x <= x ) l = m ;
else r = m - 1 ;
}
return r ;
}
void solve () {
int x , k ;
double ans = 0 ;
clr ( T , 0 ) ;
scanf ( "%d%d" , &n , &m ) ;
FOR ( i , 1 , n ) {
scanf ( "%d%lf" , &p[i].x , &p[i].v ) ;
p[i].idx = i ;
}
sort ( p + 1 , p + n + 1 ) ;
FOR ( i , 1 , n ) add ( i , p[i].v ) ;
FOR ( i , 1 , n ) idx[p[i].idx] = i ;
while ( m -- ) {
scanf ( "%d%d" , &x , &k ) ;
int l = 1 , r = p[n].x ;
int v = idx[x] ;
while ( l <= r ) {
int mid = ( l + r ) >> 1 ;
int L = L_find ( p[v].x - mid ) ;
int R = R_find ( p[v].x + mid ) ;
if ( R - L < k ) l = mid + 1 ;
else if ( R - L > k + 1 ) r = mid - 1 ;
else if ( R - L == k ) {
double tmp = ( sum ( R ) - sum ( L - 1 ) - p[v].v ) / k ;
ans += tmp ;
add ( v , -p[v].v ) ;
add ( v , tmp ) ;
p[v].v = tmp ;
break ;
} else if ( R - L == k + 1 ) {
if ( p[v].x - p[L].x == p[R].x - p[v].x ) {
if ( p[L].idx < p[R].idx ) -- R ;
else ++ L ;
}
else if ( p[v].x - p[L].x < p[R].x - p[v].x ) -- R ;
else ++ L ;
double tmp = ( sum ( R ) - sum ( L - 1 ) - p[v].v ) / k ;
ans += tmp ;
add ( v , -p[v].v ) ;
add ( v , tmp ) ;
p[v].v = tmp ;
break ;
}
}
}
printf ( "%.3f\n" , ans ) ;
}
int main () {
int T ;
scanf ( "%d" , &T ) ;
while ( T -- ) solve () ;
return 0 ;
}

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#include<stdio.h>
#include<stdlib.h>
#include<iostream>
#include<algorithm>
using namespace std;
typedef long long int64;
int64 v[210000],tx[210000],ty[210000],rk[210000],a,b,c,d,s,t,P,pp,x,y,sp,gg,tot,rs,ans,cnt;
int64 gcd(int64 a,int64 b)
{
x=1,y=0;
if(!b) return a;
int64 d=gcd(b,a%b);
int64 xx=x; x=y; y=xx-a/b*y;
return d;
}
int64 qpow(int64 a,int64 b,int64 c)
{
int64 res=1;
for(;b;b>>=1,a=a*a%c)
if(b&1) res=res*a%c;
return res;
}
int64 dt2(int64 a)
{
int l=1,r=cnt,mid;
while(l+1<r)
{
mid=(l+r)>>1;
if(tx[rk[mid]]<a) l=mid;
else r=mid;
}
if(tx[rk[l]]==a) return ty[rk[l]];
if(tx[rk[r]]==a) return ty[rk[r]];
return 0;
}
int64 dlog(int64 a)
{
for(int i=0;i<=sp;++i)
{
int64 k=dt2(a*qpow(gg,i,P)%P);
if(!k) continue;
return (k-i+pp)%pp;
}
return -1;
}
bool ok(int64 a)
{
for(int i=1;i<=tot;++i)
if(qpow(a,pp/v[i],P)==1) return 0;
return 1;
}
int64 getpg(int64 a)
{
for(int i=2;i<=a-1;++i)
if(ok(i)) return i;
return -1;
}
int64 t2(int64 a)
{
int l=1,r=tot,mid;
while(l+1<r)
{
mid=(l+r)>>1;
if(v[mid]<a) l=mid;
else r=mid;
}
if(v[l]>=a) return v[l];
return v[r];
}
int64 solve(int64 a,int64 b,int64 P,int64 t)
{
a=(a+P)%P; b=(b+P)%P; tot=0; int64 sp=0,ans=b;
for(;(sp+1)*(sp+1)<=t;++sp);
for(int i=0;sp*sp+i<=t;++i)
ans=min(ans,(a*(sp*sp+i)+b)%P);
if(!sp) return ans;
for(int i=1;i<=sp;++i) v[++tot]=(a*sp*i+b)%P;
sort(v+1,v+tot+1);
for(int i=0;i<=sp;++i)
{
int64 x=a*i%P;
ans=min(ans,(v[1]+P-x)%P);
ans=min(ans,(t2(x)-x+P)%P);
}
return ans;
}
bool cmp(int a,int b)
{
return tx[a]<tx[b];
}
int main()
{
while(scanf("%I64d%I64d%I64d%I64d%I64d%I64d",&c,&a,&b,&s,&t,&P),P)
{
tot=0; pp=P-1;
for(sp=1;sp*sp<=pp;++sp);
for(int i=2;i*i<=pp;++i)
{
if(pp%i) continue;
v[++tot]=i; while(pp%i==0) pp/=i;
}
if(pp>1) v[++tot]=pp; pp=P-1;
gg=getpg(P); cnt=0;
for(int i=1;i<=sp;++i) tx[++cnt]=qpow(gg,sp*i,P),ty[cnt]=sp*i,rk[cnt]=cnt;
sort(rk+1,rk+cnt+1,cmp);
a=dlog(a); b=dlog(b); c=dlog(c);
a=(pp-a)%pp; c=(c-b*s%pp+pp)%pp; t-=s;
d=gcd(pp,gcd(a,b));
if(c%d)
{
printf("impossible\n"); continue;
}
a/=d; b/=d; c/=d; pp/=d; d=gcd(pp,a);
gcd(b,d); x=(x%d+d)%d; rs=c*x%d;
if(t<rs)
{
printf("impossible\n"); continue;
}
t=(t-rs)/d; c=(c-rs*b)/d; a/=d; pp/=d;
gcd(a,pp); b=(pp-b*x%pp)%pp; c=(pp+c*x%pp)%pp;
ans=solve(b,c,pp,t);
printf("%I64d\n",ans);
}
return 0;
}

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#include<cstdio>
#include<cstring>
#include<set>
#include<algorithm>
using namespace std;
#define lson l, mid, root<<1
#define rson mid+1, r, root<<1|1
const int N = 1e6 + 5;
set <int> s;
set <int> ::iterator it;
struct Node {
int color;
int left;
int right;
int mid;
} a[N<<2];
void Push_Down(int root) {
if(a[root].color) {
a[root<<1].color = a[root].color;
a[root<<1|1].color = a[root].color;
a[root].color = 0;
}
}
void Build_Tree(int l, int r, int root) {
int mid = (l + r) >> 1;
a[root].left = l;
a[root].right = r;
a[root].mid = mid;
a[root].color = 2;
if(l == r) return;
Build_Tree(lson);
Build_Tree(rson);
}
void Update(int l, int r, int c, int root) {
if(a[root].left == l && a[root].right == r) {
a[root].color = c;
return;
}
if(a[root].color == c) return;
Push_Down(root);
if(l > a[root].mid) Update(l, r, c, root<<1|1);
else if(r <= a[root].mid) Update(l, r, c, root<<1);
else {
Update(l, a[root].mid, c, root<<1);
Update(a[root].mid+1, r, c, root<<1|1);
}
}
void Query(int l, int r, int root) {
if(a[root].color) {
s.insert(a[root].color);
return ;
}
if(l > a[root].mid) Query(l, r, root<<1|1);
else if(r <= a[root].mid) Query(l, r, root<<1);
else {
Query(l, a[root].mid, root<<1);
Query(a[root].mid+1, r, root<<1|1);
}
}
int main() {
int n, m;
int l, r, c;
char op[10];
while(~scanf("%d%d", &n, &m) && (n + m)) {
Build_Tree(1, n, 1);
for(int i = 0; i < m; i++) {
scanf("%s%d%d", op, &l, &r);
if(op[0] == 'P') {
scanf("%d", &c);
Update(l, r, c, 1);
}
else {
s.clear();
Query(l, r, 1);
int ss = s.size();
for(it = s.begin(); it != s.end(); it++) {
printf("%d", *it);
if(ss > 1) printf(" ");
ss--;
}
printf("\n");
}
}
}
return 0;
}

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#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
#define N 102
char mat[N][N];
int maxn,n;
int dir1[4][2] = {{1,0},{-1,0},{0,1},{0,-1}};
int dir2[4][2] = {{1,1},{-1,1},{1,-1},{-1,-1}};
void solve1(int x,int y)
{
int tmp[4];
for(int i=0;i<4;i++){
int xx=x,yy=y;
tmp[i]=0;
while(true){
xx+=dir1[i][0];
yy+=dir1[i][1];
if(mat[xx][yy]!='#'&&xx>=0&&xx<n&&yy>=0&&yy<n){
tmp[i]++;
}
else break;
}
}
sort(tmp,tmp+4);
maxn = max(maxn,tmp[2]+tmp[3]);
}
void solve2(int x,int y)
{
int tmp[4];
for(int i=0;i<4;i++){
int xx=x,yy=y;
tmp[i]=0;
while(true){
xx+=dir2[i][0];
yy+=dir2[i][1];
if(mat[xx][yy]!='#'&&xx>=0&&xx<n&&yy>=0&&yy<n){
tmp[i]++;
}
else break;
}
}
sort(tmp,tmp+4);
maxn = max(maxn,tmp[2]+tmp[3]);
}
int main()
{
while(~scanf("%d",&n)){
if(n==0)
break;
maxn = 0;
for(int i=0;i<n;i++)
for(int j=0;j<n;j++)
cin>>mat[i][j];
for(int i=0;i<n;i++)
for(int j=0;j<n;j++)
if(mat[i][j]!='#'){
solve1(i,j);
solve2(i,j);
}
printf("%d\n",maxn+1);
}
return 0;
}

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#include <iostream>
#include <cstdio>
#include <cstring>
#include <map>
#include <queue>
#include <algorithm>
using namespace std ;
int n,m ;
int sx,sy ;
int tx,ty ;
char mp[105][105] ;
int vis[105][105][10][33] ;
struct node
{
int x,y ;
int time ;
int snake ;
int key ;
friend bool operator <(node a,node b)
{
return a.time>b.time ;
}
} ;
int cnt ;
struct sk
{
int x,y ;
}ss[10] ;
int OK(node a)
{
if(a.x==tx && a.y==ty)
{
if(a.key==m)return 1 ;
}
return 0 ;
}
int dx[]={1,-1,0,0} ;
int dy[]={0,0,1,-1} ;
int bfs(int x,int y)
{
priority_queue <node> q ;
node s ;
s.x=x ;s.y=y ;s.time=0 ;s.snake=0 ;s.key=0 ;
vis[x][y][0][0]=1 ;
q.push(s) ;
while(!q.empty())
{
node u=q.top() ;
if(OK(u))return u.time ;
q.pop() ;
for(int i=0 ;i<4 ;i++)
{
int xx=u.x+dx[i] ;
int yy=u.y+dy[i] ;
if(xx<0 || xx>=n || yy<0 || yy>=n)continue ;
if(mp[xx][yy]=='#')continue ;
if(vis[xx][yy][u.key][u.snake])continue ;
node T ;
T=u ;
T.x=xx ;T.y=yy ;T.time=u.time+1 ;
if(mp[xx][yy]>='1' && mp[xx][yy]<='9')
{
int num=mp[xx][yy]-'0'-1 ;
if(T.key==num)
{
T.key++ ;
vis[xx][yy][T.key][T.snake]=1 ;
q.push(T) ;
}
else
{
vis[xx][yy][T.key][T.snake]=1 ;
q.push(T) ;
}
}
else if(mp[xx][yy]=='S')
{
for(int i=0 ;i<cnt ;i++)
{
if(xx==ss[i].x && yy==ss[i].y)
{
if((T.snake>>i)&1)
{
vis[xx][yy][T.key][T.snake]=1 ;
q.push(T) ;
}
else
{
T.time++ ;
T.snake+=(1<<i) ;
vis[xx][yy][T.key][T.snake]=1 ;
q.push(T) ;
}
break ;
}
}
}
else
{
vis[xx][yy][T.key][T.snake]=1 ;
q.push(T) ;
}
}
}
return -1 ;
}
int main()
{
while(~scanf("%d%d",&n,&m))
{
if(!n && !m)break ;
for(int i=0 ;i<n ;i++)
scanf("%s",mp[i]) ;
cnt=0 ;
for(int i=0 ;i<n ;i++)
{
for(int j=0 ;j<n ;j++)
{
if(mp[i][j]=='K')sx=i,sy=j ;
if(mp[i][j]=='T')tx=i,ty=j ;
if(mp[i][j]=='S')
{
ss[cnt].x=i ;
ss[cnt++].y=j ;
}
}
}
memset(vis,0,sizeof(vis)) ;
int ans=bfs(sx,sy) ;
if(ans==-1)puts("impossible") ;
else printf("%d\n",ans) ;
}
return 0 ;
}

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#include<iostream>
#include<cstdio>
#include<complex>
#include<vector>
#include<cmath>
#include<cstdlib>
#include<algorithm>
using namespace std;
const double eps=1.0e-8;
typedef complex<double> point;
typedef vector<point> polygon;
struct line : public vector<point> {
line() {}
line(const point& a, const point& b) { push_back(a); push_back(b); }
};
inline point vec(const line& l) { return l[1]-l[0];}
inline double dot (const point& a, const point& b) { return (a*conj(b)).real();}
inline double cross(const point& a, const point& b) { return (conj(a)*b).imag();}
inline int dlcmp(const double& x){
return x<-eps?-1:x>eps;
}
bool intersectSP(const line& s, const point& p) {
return abs(s[0]-p)+abs(s[1]-p)<abs(s[1]-s[0])+eps;
}
point projection(const line &l, const point &p) {
double t = dot(p-l[0], l[0]-l[1]) / norm(l[0]-l[1]);
return l[0] + t*(l[0]-l[1]);
}
double distanceSP(const line &s, const point &p) {
const point& r = projection(s, p);
if (intersectSP(s, r)) return abs(r - p);
return min(abs(s[0]-p), abs(s[1]-p));
}
polygon p;
const int MAXN=50005;
bool direction[MAXN];
inline double calc(const point& start, const point& m, const point& target, const double& Vr, const double& Vs){
return abs(start-m)/Vr+abs(m-target)/Vs;
}
point m1, m2, v;
double mid, midd;
double solve(const line& S, const point& start, const point& target, const double& Vr, const double& Vs, double& ts){
double l=0.0, r=1.0;
v=vec(S);
while(l+eps<r){
mid=(l+r)/2.0;
midd=(mid+r)/2.0;
m1=S[0]+mid*v;
m2=S[0]+midd*v;
if(calc(start,m1,target,Vr,Vs)<calc(start,m2,target,Vr,Vs)){
r=midd;
}
else{
l=mid;
}
}
ts=abs(S[0]+l*v-target)/Vs;
return calc(start,S[0]+l*v,target,Vr,Vs);
}
point cut[2];
int R[2];
point p1, p2;
int main(){
int T, n; cin>>T;
while(T--){
double Ts, Vr, Vs; cin>>Ts>>Vr>>Vs;
double Xo, Yo, Xp, Yp; cin>>Xo>>Yo>>Xp>>Yp;
point O(Xo,Yo), P(Xp,Yp);
cin>>n;
p.clear();
double x, y;
for(int i=0; i<n; i++){
scanf("%lf%lf",&x,&y);
p.push_back(point(x,y));
}
if(dlcmp(cross(p[1]-p[0],p[2]-p[1]))<0){
reverse(p.begin(),p.end());
}
double carry_and_swim=1.0e20;
for(int i=0; i<n; i++){
carry_and_swim=min(carry_and_swim,distanceSP(line(p[i],p[(i+1)%n]),P));
}
carry_and_swim=2.0*carry_and_swim/Vs;
double sum=0.0;
for(int i=0; i<n; i++){
direction[i]=dlcmp(cross(p[i]-O,p[(i+1)%n]-p[i]))>=0;
sum+=abs(p[i]-p[(i+1)%n]);
}
int cnt=0;
for(int i=0; i<n; i++){
if(direction[i]!=direction[(i+1)%n]){
R[cnt++]=(i+1)%n;
}
if(intersectSP(line(p[i],p[(i+1)%n]),O)){
cut[0]=p[i];
cut[1]=p[(i+1)%n];
R[0]=i; R[1]=(i+1)%n;
}
}
if(cnt!=0){
if(direction[R[0]]!=0) swap(R[0],R[1]);
cut[0]=p[R[0]]; cut[1]=p[R[1]];
}
double ans=1.0e20;
int st=R[0], ed=R[1];
if(ed<st) ed+=n;
double ft=0.0;
double ts, ts1, ts2, ret;
for(int i=st; i<ed; i++){
p1=p[i%n], p2=p[(i+1)%n];
ret=solve(line(p1,p2),O,P,Vr,Vs,ts);
if(ts+carry_and_swim-eps<=Ts){
ans=min(ans,ret);
}
ft+=abs(p1-p2);
}
swap(st,ed);
if(ed<st) ed+=n;
double bk=0.0, al=(sum-ft), d1, d2;
for(int i=st; i<ed; i++){
p1=p[i%n], p2=p[(i+1)%n];
d1=(abs(O-cut[1])+bk)/Vr+solve(line(p1,p2),p1,P,Vr,Vs,ts1);
d2=(abs(O-cut[0])+al-bk-abs(p1-p2))/Vr+solve(line(p2,p1),p2,P,Vr,Vs,ts2);
if(ts1+carry_and_swim-eps<=Ts){
ans=min(ans,d1);
}
if(ts2+carry_and_swim-eps<=Ts){
ans=min(ans,d2);
}
bk+=abs(p1-p2);
}
ans+=carry_and_swim;
if(ans<=1.0e19) printf("%.2f\n",ans);
else printf("-1\n");
}
return 0;
}

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#pragma comment(linker, "/STACK:102400000,102400000")
#include<cstdio>
#include<cstring>
#include<vector>
#include<queue>
#include<cmath>
#include<cctype>
#include<string>
#include<algorithm>
#include<iostream>
#include<ctime>
#include<map>
#include<set>
using namespace std;
#define MP(x,y) make_pair((x),(y))
#define PB(x) push_back(x)
const int INF = 1000111222;
const double INFF = 1e100;
const double eps = 1e-8;
const int mod = 1000000007;
const int NN = 100010;
const int MM = 400010;
vector<int>ad[NN];
vector<int>del[NN];
struct TR
{
int l,r,col,ci;
int mid()
{
return (l+r)>>1;
}
}tr[NN*4];
struct G
{
int v,next;
}E[NN*2];
int p[NN],T;
//c_dfs1
int deep[NN],si[NN],per[NN],anc[NN];
//c_dfs2
int tsp,pos[NN],top[NN];
int ans[NN],dui[NN];
void add(int u,int v)
{
E[T].v=v;
E[T].next=p[u];
p[u]=T++;
}
void c_dfs1(int u,int fa,int cen)
{
anc[u]=fa;
deep[u]=cen;
si[u]=1;
per[u]=-1;
int i,v;
for(i=p[u];i+1;i=E[i].next)
{
v=E[i].v;
if(v==fa)continue;
c_dfs1(v,u,cen+1);
si[u]+=si[v];
if(per[u]==-1 || si[v]>si[ per[u] ])
per[u]=v;
}
}
void c_dfs2(int u,int fa,int now_top)
{
pos[u]=++tsp;
top[u]=now_top;
if(per[u]!=-1)c_dfs2(per[u],u,now_top);
int i,v;
for(i=p[u];i+1;i=E[i].next)
{
v=E[i].v;
if(v==per[u] || v==fa)continue;
c_dfs2(v,u,v);
}
}
void c_update(int u,int v,int col)
{
while(top[u]!=top[v])
{
if(deep[ top[u] ] > deep[ top[v] ])
swap(u,v);
ad[ pos[ top[v] ] ].PB(col);
del[ pos[v] ].PB(col);
v=anc[ top[v] ];
}
if(pos[u]>pos[v])
swap(u,v);
ad[ pos[u] ].PB(col);
del[ pos[v] ].PB(col);
}
void push_up(int R)
{
if(tr[R<<1].ci >= tr[R<<1|1].ci)
{
tr[R].col = tr[R<<1].col;
tr[R].ci = tr[R<<1].ci;
}
else
{
tr[R].col = tr[R<<1|1].col;
tr[R].ci = tr[R<<1|1].ci;
}
}
void build(int l,int r,int R)
{
tr[R].l = l;
tr[R].r = r;
if(l==r)
{
tr[R].col = l;
tr[R].ci = 0;
return;
}
int mid = tr[R].mid();
build(l,mid,R<<1);
build(mid+1,r,R<<1|1);
push_up(R);
}
void update(int x,int R,int ad)
{
if(tr[R].l == tr[R].r)
{
tr[R].ci += ad;
return;
}
int mid = tr[R].mid();
if(x <= mid)
update(x,R<<1,ad);
else
update(x,R<<1|1,ad);
push_up(R);
}
int main()
{
int n,m,u,v,i,c,j,si,s_col;
while(scanf("%d%d",&n,&m)!=EOF)
{
if(n==0 && m==0)break;
memset(p,-1,sizeof(p));
T=0;
for(i=1;i<n;i++)
{
scanf("%d%d", &u, &v);
add(u,v);
add(v,u);
}
c_dfs1(1,-1,0);
tsp = 0;
c_dfs2(1,-1,1);
for(i=1;i<=n;i++)
{
dui[ pos[i] ] = i;
}
s_col = 1;
for(i=0;i<m;i++)
{
scanf("%d%d%d",&u,&v,&c);
s_col = max(s_col,c);
c_update(u,v,c);
}
build(0,s_col,1);
for(i=1;i<=n;i++)
{
si = ad[i].size();
for(j=0;j<si;j++)
{
update(ad[i][j], 1, 1);
}
ans[ dui[i] ] = tr[1].col;
si = del[i].size();
for(j=0;j<si;j++)
{
update(del[i][j], 1, -1);
}
ad[i].clear();
del[i].clear();
}
for(i=1;i<=n;i++)
{
printf("%d\n",ans[i]);
}
}
return 0;
}

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#include <cstdio>
#include <cstring>
#include <vector>
#include <algorithm>
using namespace std;
const int maxn = 1e5+5;
typedef long long ll;
struct Suffix_Arr {
char s[maxn];
int n, SA[maxn], rank[maxn], height[maxn];
int tmp_one[maxn], tmp_two[maxn], c[maxn];
ll f[maxn];
void init ();
void build(int m);
void get_height();
void solve ();
bool judge(ll m);
}AC;
int K;
int main () {
while (scanf("%d", &K) == 1 && K) {
AC.init();
AC.build(256);
AC.get_height();
AC.solve();
}
return 0;
}
bool Suffix_Arr::judge(ll m) {
int t = lower_bound(f + 1, f + n + 1, m) - f;
int R = n - (f[t] - m + 1);
int len = R - SA[t] + 1;
memset(c, -1, sizeof(c));
c[SA[t]] = len;
for (int i = t+1; i <= n; i++) {
len = min(len, height[i]);
if (len == 0)
return false;
c[SA[i]] = len;
}
int ret = 0, p = n + 1;
for (int i = 0; i < n; i++) {
if (i == p) {
ret++;
p = n + 1;
}
if (c[i] != -1)
p = min(p, i + c[i]);
if (ret >= K)
return false;
}
return true;
}
void Suffix_Arr::solve() {
ll l = 1, r = f[n];
for (int i = 0; i < 70; i++) {
ll mid = (l + r) / 2;
if (judge(mid))
r = mid;
else
l = mid;
}
int t = lower_bound(f + 1, f + n + 1, r) - f;
int len = n - (f[t] - r + 1);
for (int i = SA[t]; i <= len; i++)
printf("%c", s[i]);
printf("\n");
}
void Suffix_Arr::init() {
scanf("%s", s);
n = strlen(s) + 1;
}
void Suffix_Arr::get_height() {
for (int i = 0; i < n; i++)
rank[SA[i]] = i;
int mv = height[n-1] = 0;
for (int i = 0; i < n - 1; i++) {
if (mv) mv--;
int j = SA[rank[i] - 1];
while (s[i+mv] == s[j+mv])
mv++;
height[rank[i]] = mv;
}
n--;
f[0] = 0;
for (int i = 1; i <= n; i++)
f[i] = f[i-1] + n - SA[i] - height[i];
}
void Suffix_Arr::build(int m) {
int *x = tmp_one, *y = tmp_two;
for (int i = 0; i < m; i++) c[i] = 0;
for (int i = 0; i < n; i++) c[x[i] = s[i]]++;
for (int i = 1; i < m; i++) c[i] += c[i-1];
for (int i = n - 1; i >= 0; i--) SA[--c[x[i]]] = i;
for (int k = 1; k <= n; k <<= 1) {
int mv = 0;
for (int i = n - k; i < n; i++) y[mv++] = i;
for (int i = 0; i < n; i++) if (SA[i] >= k)
y[mv++] = SA[i] - k;
for (int i = 0; i < m; i++) c[i] = 0;
for (int i = 0; i < n; i++) c[x[y[i]]]++;
for (int i = 1; i < m; i++) c[i] += c[i-1];
for (int i = n - 1; i >= 0; i--) SA[--c[x[y[i]]]] = y[i];
swap(x, y);
mv = 1;
x[SA[0]] = 0;
for (int i = 1; i < n; i++)
x[SA[i]] = (y[SA[i-1]] == y[SA[i]] && y[SA[i-1] + k] == y[SA[i] + k] ? mv - 1 : mv++);
if (mv >= n)
break;
m = mv;
}
}

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#include<iostream>
#include<stdio.h>
#include<string.h>
#include<math.h>
#include<algorithm>
using namespace std;
const int INF=1<<30;
int n,m,t;
struct Point
{
int x,y;
Point(){}
Point(int _x, int _y)
{
x=_x;
y=_y;
}
void set(int _x, int _y)
{
x=_x;
y=_y;
}
Point operator + (const Point &b) const
{
return Point(x+b.x, y+b.y);
}
Point operator - (const Point &b) const
{
return Point(x-b.x, y-b.y);
}
int operator ^(const Point &b) const
{
return x*b.y - y*b.x;
}
};
struct Line
{
Point s,e;
int cover;
Line(){}
void set(Point _s, Point _e, int _c)
{
s=_s;
e=_e;
cover=_c;
}
bool operator < (const Line &b)
{
return cover < b.cover;
}
};
Point point[5000];
int p_point = 0;
int map[70][70];
int min_ans = 14;
bool found = false;
void init()
{
p_point=0;
memset(map, 0, sizeof(map));
min_ans = 14;
found = false;
return;
}
int gcd(int x, int y)
{
if(x<y)
swap(x,y);
if(y==0)
return x;
if(x%y==0)
return y;
return gcd(y, x%y);
}
bool valid(Point p)
{
return p.x >=0 && p.y >= 0 && p.x <=n && p.y <=m;
}
bool CheckLine(int p1, int p2, int &cover)
{
Point now_vec = point[p2] - point[p1];
if(gcd( abs(now_vec.x), abs(now_vec.y)) != 1)
return false;
int now_cover = 0;
Point tmp = point[p1];
tmp = tmp - now_vec;
while(valid(tmp))
{
if(map[tmp.x][tmp.y] == 0)
return false;
else if(tmp.x <= point[p1].x)
return false;
now_cover ++;
tmp = tmp - now_vec;
}
tmp = point[p2];
tmp = tmp + now_vec;
bool found_one = false;
while(valid(tmp))
{
found_one = true;
if(map[tmp.x][tmp.y] == 0)
return false;
now_cover++;
tmp = tmp + now_vec;
}
if(!found_one)
return false;
cover = now_cover;
return true;
}
void DetermineLines(Line line[], int &p_line)
{
int i,j;
for(i=1; i<=p_point -1;i++)
{
if(map[point[i].x][point[i].y] ==0)
continue;
for(j=i+1; j<=p_point; j++)
{
if(map[point[j].x][point[j].y]==0)
continue;
int cover;
if( CheckLine(i,j, cover) )
{
line[++p_line].set(point[i], point[j], cover);
}
}
}
return;
}
void drop(Line l)
{
Point p1 = l.s, p2 = l.e;
Point now_vec = p2 - p1;
Point tmp = p1;
while(valid(tmp))
{
map[tmp.x][tmp.y] --;
tmp = tmp - now_vec;
}
tmp = p2;
while(valid(tmp))
{
map[tmp.x][tmp.y] --;
tmp = tmp + now_vec;
}
return ;
}
void resume(Line l)
{
Point p1 = l.s, p2 = l.e;
Point now_vec = p2 - p1;
Point tmp = p1;
while(valid(tmp))
{
map[tmp.x][tmp.y]++;
tmp = tmp - now_vec;
}
tmp = p2;
while(valid(tmp))
{
map[tmp.x][tmp.y]++;
tmp = tmp + now_vec;
}
return ;
}
bool cmp(const Line &a, const Line &b)
{
return a.cover > b.cover;
}
bool check()
{
int i;
for(i=1; i<=p_point; i++)
{
if(map[point[i].x][point[i].y] != 0)
return false;
}
return true;
}
void DFS(int depth)
{
Line line[3000];
int p_line = 0;
DetermineLines(line, p_line);
sort(line+1, line + p_line +1, cmp);
if(check())
{
min_ans = depth-1;
found = true;
return ;
}
if(depth > min_ans)
return;
int i;
for(i=1; i<=min(p_line,4);i++)
{
drop(line[i]);
DFS(depth+1);
if(found)
break;
resume(line[i]);
}
return ;
}
int main()
{
scanf("%d", &t);
int files;
for(files=1; files<=t; files++)
{
init();
scanf("%d %d", &n, &m);
int i,j;
for(i=0; i<=n; i++)
{
for(j=0; j<=m; j++)
{
scanf("%d", &map[i][j]);
if(map[i][j]!=0)
{
point[++p_point].set(i,j);
}
}
}
DFS(1);
printf("%d\n", min_ans);
}
return 0;
}

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#include<map>
#include<string>
#include<cstring>
#include<cstdio>
#include<cstdlib>
#include<cmath>
#include<queue>
#include<vector>
#include<iostream>
#include<algorithm>
#include<bitset>
#include<climits>
#include<list>
#include<iomanip>
#include<stack>
#include<set>
using namespace std;
typedef long long ll;
ll bit[1010];
void update(int pos,ll val)
{
for(int i=pos;i<=1000;i+=i&-i)
bit[i]+=val;
}
ll psum(int pos)
{
ll ans=0;
for(int i=pos;i>0;i-=i&-i)
ans+=bit[i];
return ans;
}
struct Point
{
int x,y;
bool operator <(Point one)const
{
return y*one.x<=one.y*x;
}
}point[1000010];
struct Qu
{
int x,y,len,no;
bool operator <(Qu one)const
{
return ll(y*one.x)<ll(one.y*x);
}
}qu[1000010];
ll ans[1000010];
int main()
{
int n=0;
for(int i=1;i<=1000;i++)
for(int j=1;j<=1000;j++)
{
point[n].x=i;
point[n++].y=j;
}
sort(point,point+n);
int T;
scanf("%d",&T);
for(int cs=1;cs<=T;cs++)
{
int a,b,m;
scanf("%d%d%d",&a,&b,&m);
for(int i=0;i<m;i++)
{
scanf("%d%d%d",&qu[i].x,&qu[i].y,&qu[i].len);
qu[i].no=i;
}
sort(qu,qu+m);
memset(bit,0,sizeof(bit));
for(int i=0,j=0;i<m;i++)
{
Point t;
t.x=qu[i].x;
t.y=qu[i].y;
while(j<n&&point[j]<t)
{
update(point[j].x,ll(point[j].x+a)*(point[j].y+b));
j++;
}
ans[qu[i].no]=psum(qu[i].len);
}
printf("Case #%d:\n",cs);
for(int i=0;i<m;i++)
cout<<ans[i]<<endl;
}
}

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#include<cstdio>
#include<cstring>
#include<vector>
#include<queue>
#include<cmath>
#include<cctype>
#include<string>
#include<algorithm>
#include<iostream>
#include<ctime>
#include<map>
#include<set>
using namespace std;
#define MP(x,y) make_pair((x),(y))
#define PB(x) push_back(x)
typedef __int64 LL;
const int INF = 1000111222;
const double INFF = 1e100;
const double eps = 1e-8;
const int mod = 1000000007;
const int NN = 100010;
const int MM = 400010;
struct node
{
double h;
double x;
bool operator<(const node &tt)const
{
return x < tt.x;
}
}a[NN];
struct Q
{
int l,r,id;
double x;
bool operator<(const Q &tt)const
{
return x < tt.x;
}
}line[NN];
int q[NN];
double ans[NN];
const double pi = acos(-1.0);
int main()
{
int cas, ee = 0;
int i, n, m, j, j1, j2, tail;
double t, t1, t2;
scanf("%d", &cas);
while (cas--)
{
scanf("%d",&n);
for (i = 1; i <= n; i ++)
{
scanf("%lf%lf", &a[i].x, &a[i].h);
}
sort(a+1, a+1+n);
scanf("%d", &m);
for (i = 1; i <= m; i ++)
{
scanf("%lf", &line[i].x);
line[i].id = i;
}
sort(line+1, line+1+m);
q[tail = 1] = 1;
j = 2;
for (i = 1; i <= m; i ++)
{
while (j <= n && a[j].x < line[i].x)
{
while (tail > 0 && a[j].h >= a[ q[tail] ].h)
tail--;
while (tail > 1)
{
j2 = q[tail-1];
j1 = q[tail];
if( (a[j1].h - a[j].h) * (a[j1].x - a[j2].x) <=
(a[j2].h-a[j1].h) * (a[j].x - a[j1].x) )
tail--;
else
break;
}
q[++tail] = j;
j++;
}
while (tail > 1)
{
j1 = q[tail-1];
j2 = q[tail];
if(a[j1].h/(line[i].x - a[j1].x) >=
a[j2].h/(line[i].x - a[j2].x))
tail--;
else
break;
}
line[i].l = q[tail];
}
q[tail = 1] = n;
j = n-1;
for (i = m; i >= 1; i --)
{
while (j >= 1 && a[j].x > line[i].x)
{
while (tail > 0 && a[j].h >= a[ q[tail] ].h)
tail--;
while (tail > 1)
{
j1 = q[tail];
j2 = q[tail-1];
if( (a[j1].h - a[j].h) * (a[j2].x - a[j1].x) <=
(a[j2].h-a[j1].h) * (a[j1].x - a[j].x) )
tail--;
else
break;
}
q[++tail] = j;
j--;
}
while (tail > 1)
{
j1 = q[tail-1];
j2 = q[tail];
if(a[j1].h/(a[j1].x - line[i].x) >=
a[j2].h/(a[j2].x - line[i].x))
tail--;
else
break;
}
line[i].r = q[tail];
}
for (i = 1; i <= m; i ++)
{
t1 = a[ line[i].l ].h/( line[i].x - a[ line[i].l ].x + 0.0 );
t2 = a[ line[i].r ].h/( line[i].x - a[ line[i].r ].x + 0.0 );
t2 = -t2;
t = pi - atan(t1) - atan(t2);
ans[ line[i].id ] = t*180.0/pi;
}
printf("Case #%d:\n", ++ee);
for (i = 1; i <= m; i ++)
{
printf("%.10lf\n", ans[i]);
}
}
return 0;
}

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#include <cstdio>
#include <algorithm>
#include <cstring>
using namespace std;
int N,T;
double sum,k;
int c;
int main(void)
{
int cas = 1;
scanf("%d", &T);
while(T--){
scanf("%d", &N);
sum = 0.0;
for(int i = 0; i < N; ++i){
scanf("%lf",&k);
sum += k;
}
for(int i = 0; i < N; ++i)
scanf("%d", &c);
printf("Case #%d: %.6f\n",cas++,(N + 1.0) / sum);
}
return 0;
}

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#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <bitset>
using namespace std;
const int maxn = 1005;
bitset<maxn> a[maxn];
int main() {
int t, cas = 1;
int n;
scanf("%d", &t);
while (t--) {
scanf("%d", &n);
for (int i = 0; i < n; i++) {
a[i].reset();
a[i][i] = 1;
}
int c, x;
for (int i = 0; i < n; i++) {
scanf("%d", &c);
while (c--) {
scanf("%d", &x);
a[i][--x] = 1;
}
}
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
if (a[j][i])
a[j] |= a[i];
double ans = 0;
for (int i = 0; i < n; i++) {
c = 0;
for (int j = 0; j < n; j++)
if (a[j][i])
c++;
ans += 1.0 / c;
}
printf("Case #%d: %.5lf\n",cas++,ans);
}
return 0;
}

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#include<iostream>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<algorithm>
#define MOD 1000000007
typedef long long ll;
using namespace std;
const int maxn=200005;
int da[maxn];
int main()
{
int T,n,m,l,cas=0;
scanf("%d",&T);
while(T--)
{
scanf("%d%d%d",&n,&m,&l);
for(int i=1;i<=n;i++)
scanf("%d",&da[i]);
da[++n]=m;da[0]=0;
int ans=0;
int k=l;
sort(da,da+n);
for(int i=1;i<=n;i++)
{
int x=(da[i]-da[i-1])%(l+1);
int y=(da[i]-da[i-1])/(l+1);
if(k+x>=l+1)
{
k=x;
ans+=y*2+1;
}
else if(k+x<l+1)
{
k=x+k;
ans+=y*2;
}
}
printf("Case #%d: %d\n",++cas,ans);
}
return 0;
}

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#include<cstdio>
#include<cstring>
#include<iostream>
#include<vector>
#include<set>
#include<string>
#include<algorithm>
using namespace std;
vector <int> g[10005];
int fun(int x) {
return 10000 - (100 - x) * (100 - x);
}
int main()
{
int n, w, T, cas = 0;
scanf("%d",&T);
while(T--) {
scanf("%d",&n);
set <int> s;
memset(g, 0, sizeof(g));
for(int i = 0; i < n; i++) {
scanf("%d", &w);
int grade = fun(w);
s.insert(grade);
g[grade].push_back(w);
}
set <int> ::iterator it;
vector <int> v;
for(it = s.begin(); it != s.end(); it++) {
v.push_back(g[*it].size());
}
sort(v.begin(), v.end());
int ssize = v.size();
int cnt = 0;
for(int i = ssize - 1; i >= 0; i--) {
if(v[i] == v[ssize-1])
cnt++;
}
printf("Case #%d:\n", ++cas);
if(cnt == 1) {
for(it = s.begin(); it != s.end(); it++)
if(g[*it].size() == v[ssize-1]) {
printf("%d\n", *it);
break;
}
}
else {
if(cnt == ssize)
printf("Bad Mushroom\n");
else {
vector <int> ans;
for(it = s.begin(); it != s.end(); it++) {
int tmp = *it;
if(g[tmp].size() == v[ssize-1]) {
ans.push_back(tmp);
}
}
sort(ans.begin(), ans.end());
int z = ans.size();
for(int i = 0; i < z - 1; i++)
printf("%d ", ans[i]);
printf("%d\n", ans[z-1]);
}
}
}
return 0;
}

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#include<iostream>
#include<cstdio>
#include<cstring>
#include<string>
#include<algorithm>
#include<map>
#include<queue>
#include<stack>
#include<set>
#include<cmath>
#include<vector>
#define inf 0x3f3f3f3f
#define Inf 0x3FFFFFFFFFFFFFFFLL
#define eps 1e-6
#define pi acos(-1.0)
using namespace std;
typedef long long ll;
const int maxn = 30000 + 10;
struct Edge
{
int v,color,next;
Edge(int v = 0,int color = 0,int next = 0):v(v),color(color),next(next){}
}edges[maxn<<1];
int head[maxn],Lx[maxn],Rx[maxn],N,nEdge;
int a[maxn];
map<string,int>mp;
void AddEdges(int u,int v,int color)
{
edges[++nEdge] = Edge(v,color,head[u]);
head[u] = nEdge;
edges[++nEdge] = Edge(u,color,head[v]);
head[v] = nEdge;
}
void dfs(int u,int fa,int c)
{
for(int k = head[u];k != -1;k = edges[k].next)
{
int v = edges[k].v;
if(v == fa) continue;
Lx[k/2] = ++N;
a[N] = c^edges[k].color;
dfs(v,u,c^edges[k].color);
Rx[k/2] = N;
}
}
int sum[maxn<<2],flip[maxn<<2];
inline void PushUp(int rt)
{
sum[rt] = sum[rt<<1] + sum[rt<<1|1];
}
void PushDown(int l,int r,int rt)
{
if(flip[rt])
{
flip[rt<<1] ^= 1;
flip[rt<<1|1] ^= 1;
int m = (l + r)>>1;
sum[rt<<1] = (m - l + 1) - sum[rt<<1];
sum[rt<<1|1] = (r - m) - sum[rt<<1|1];
flip[rt] = 0;
}
}
void build(int l,int r,int rt)
{
flip[rt] = 0;
if(l == r)
{
sum[rt] = a[l];
return ;
}
int m = (l + r)>>1;
build(l,m,rt<<1);
build(m+1,r,rt<<1|1);
PushUp(rt);
}
void Update(int L,int R,int l,int r,int rt)
{
if(l >= L && r <= R)
{
flip[rt] ^= 1;
sum[rt] = r - l + 1 - sum[rt];
return ;
}
PushDown(l,r,rt);
int m = (l + r)>>1;
if(m >= L) Update(L,R,l,m,rt<<1);
if(m < R) Update(L,R,m+1,r,rt<<1|1);
PushUp(rt);
}
void Init()
{
memset(head,0xff,sizeof(head));
nEdge = -1; N = 0;
mp.clear();
}
int main()
{
char str[20];
int t,tcase = 0;
scanf("%d",&t);
while(t--)
{
Init();
int n,m;
scanf("%d",&n);
for(int i = 1;i <= n;++i)
{
scanf("%s",str);
mp[(string)str] = i;
}
int u,v,c;
for(int i = 1;i < n;++i)
{
scanf("%s",str);
u = mp[(string)str];
scanf("%s",str);
v = mp[(string)str];
scanf("%d",&c);
AddEdges(u,v,c);
}
dfs(1,-1,0);
build(1,N,1);
scanf("%d",&m);
printf("Case #%d:\n",++tcase);
while(m--)
{
scanf("%s",str);
if(str[0] == 'Q')
{
ll x = sum[1];
printf("%I64d\n",x*(n - x)*2LL);
}
else
{
scanf("%d",&u);
Update(Lx[u-1],Rx[u-1],1,N,1);
}
}
}
return 0;
}

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#include <iostream>
#include <cstring>
#include <cstdio>
#include <queue>
#include <map>
using namespace std ;
int n ;
int vis[505][505][4] ;
int b[505][505][4] ;
char mp[505][505] ;
int aa,bb ;
struct node
{
int x,y ;
int step ;
friend bool operator <(node aaa,node bbb)
{
return aaa.step>bbb.step ;
}
} ;
int dx[]={-1,0,1,0,0} ;
int dy[]={0,1,0,-1,0} ;
int bfs(int x,int y)
{
memset(vis,0,sizeof(vis)) ;
priority_queue <node> q ;
node s ;
s.x=x ;s.y=y ;s.step=0 ;
vis[x][y][0]=1 ;
q.push(s) ;
while(!q.empty())
{
node u=q.top() ;
//printf("%d %d %d\n",u.x,u.y,u.step) ;
if(u.x==aa && u.y==bb)
{
return u.step ;
}
q.pop() ;
for(int i=0 ;i<5 ;i++)
{
int xx=u.x+dx[i] ;
int yy=u.y+dy[i] ;
if(xx<0 || xx>=n || yy<0 || yy>=n)continue ;
if(mp[xx][yy]=='#')continue ;
node p ;
p=u ;
if(b[xx][yy][u.step%4] || b[u.x][u.y][u.step%4])
{
if(xx==u.x && yy==u.y && !vis[xx][yy][(u.step+1)%4])
{
p.step++ ;
vis[xx][yy][p.step%4]=1 ;
q.push(p) ;
}
else if(!vis[xx][yy][(u.step+3)%4])
{
p.x=xx ;p.y=yy ;
p.step+=3 ;
vis[xx][yy][p.step%4]=1 ;
q.push(p) ;
}
}
else if(!vis[xx][yy][(u.step+1)%4])
{
p.x=xx ;p.y=yy ;p.step++ ;
vis[xx][yy][p.step%4]=1 ;
q.push(p) ;
}
}
}
return -1 ;
}
int main()
{
int T ;
scanf("%d",&T) ;
for(int cas=1 ;cas<=T ;cas++)
{
scanf("%d",&n) ;
for(int i=0 ;i<n ;i++)
scanf("%s",mp[i]) ;
int x,y ;
memset(b,0,sizeof(b)) ;
for(int i=0 ;i<n ;i++)
{
for(int j=0 ;j<n ;j++)
{
if(mp[i][j]=='M')
{
x=i ;y=j ;
}
if(mp[i][j]=='N')
{
b[i][j][0]=b[i][j][1]=b[i][j][2]=b[i][j][3]=1 ;
if(i-1>=0)b[i-1][j][0]=1 ;
if(j+1<n)b[i][j+1][1]=1 ;
if(j-1>=0)b[i][j-1][3]=1 ;
if(i+1<n)b[i+1][j][2]=1 ;
}
if(mp[i][j]=='W')
{
b[i][j][0]=b[i][j][1]=b[i][j][2]=b[i][j][3]=1 ;
if(i-1>=0)b[i-1][j][1]=1 ;
if(j+1<n)b[i][j+1][2]=1 ;
if(j-1>=0)b[i][j-1][0]=1 ;
if(i+1<n)b[i+1][j][3]=1 ;
}
if(mp[i][j]=='S')
{
b[i][j][0]=b[i][j][1]=b[i][j][2]=b[i][j][3]=1 ;
if(i-1>=0)b[i-1][j][2]=1 ;
if(j+1<n)b[i][j+1][3]=1 ;
if(j-1>=0)b[i][j-1][1]=1 ;
if(i+1<n)b[i+1][j][0]=1 ;
}
if(mp[i][j]=='E')
{
b[i][j][0]=b[i][j][1]=b[i][j][2]=b[i][j][3]=1 ;
if(i-1>=0)b[i-1][j][3]=1 ;
if(j+1<n)b[i][j+1][0]=1 ;
if(j-1>=0)b[i][j-1][2]=1 ;
if(i+1<n)b[i+1][j][1]=1 ;
}
if(mp[i][j]=='T')
{
aa=i ;bb=j ;
}
}
}
printf("Case #%d: %d\n",cas,bfs(x,y)) ;
}
return 0 ;
}

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#include<iostream>
#include<cstdio>
#include<cstring>
#include<string>
#include<algorithm>
#include<map>
#include<queue>
#include<stack>
#include<set>
#include<cmath>
#include<vector>
#include<bitset>
#define inf 0x3f3f3f3f
#define Inf 0x3FFFFFFFFFFFFFFFLL
#define eps 1e-6
#define pi acos(-1.0)
using namespace std;
typedef long long ll;
const int maxn = 100000 + 10;
struct Node
{
int pos,l,r,gval;
Node(int pos = 0,int l = 0,int r = 0,int gval = 0):pos(pos),l(l),r(r),gval(gval){}
bool operator < (const Node & a) const
{
if(gval != a.gval) return gval < a.gval;
if(pos != a.pos) return pos < a.pos;
return r < a.r;
}
}node[maxn*20];
ll sum[maxn*20];
int cnt[maxn*20];
int a[maxn],pa[maxn],pre[maxn],val[maxn],n,tot;
int gcd(int a,int b) { return b == 0?a:gcd(b,a%b);}
vector<Node>vt[maxn];
void precal()
{
for(int i = 0;i <= n;++i) vt[i].clear();
vt[n].push_back(Node(n,n,n,a[n]));
Node ntmp;
int x;
for(int i = n - 1;i >= 1;--i)
{
int size = vt[i + 1].size();
int cnt = 1;
vt[i].push_back(Node(i,i,i,a[i]));
for(int j = 0;j < size;++j)
{
ntmp = vt[i+1][j];
x = gcd(a[i],ntmp.gval);
if(cnt && vt[i][cnt-1].gval == x)
vt[i][cnt - 1].r = ntmp.r;
else
vt[i].push_back(Node(i,ntmp.l,ntmp.r,x)),cnt++;
}
}
tot = 0;
for(int i = 1;i <= n;++i)
for(int j = 0;j < (int)vt[i].size();++j)
node[++tot] = Node(vt[i][j]);
sort(node + 1,node + tot + 1);
sum[0] = 0;
for(int i = 1;i <= tot;++i)
sum[i] = sum[i-1] + node[i].r - node[i].l + 1;
cnt[1] = 1;
for(int i = 2;i <= tot;++i)
cnt[i] = cnt[i-1] + (node[i].gval != node[i-1].gval);
}
int f(int l,int r)
{
int L = 0,R = vt[l].size() - 1;
while(L < R)
{
int m = (L + R)>>1;
// cout<<vt[l][m].r<<endl;
if(vt[l][m].r < r)
L = m + 1;
else
R = m;
}
return vt[l][L].gval;
}
int main()
{
char str[20];
int t,tcase = 0,Q;
scanf("%d",&t);
while(t--)
{
scanf("%d%d",&n,&Q);
for(int i = 1;i <= n;++i)
scanf("%d",&a[i]);
precal();
ll x,y,ans1,ans2;
Node tmp;
printf("Case #%d:\n",++tcase);
while(Q--)
{
scanf("%s",str);
scanf("%I64d%I64d",&x,&y);
if(str[0] == 'S')
{
if(cnt[tot] < x)
{
puts("-1");
continue;
}
int L = lower_bound(cnt + 1,cnt + tot + 1,x) - cnt;
int R = upper_bound(cnt + 1,cnt + tot + 1,x) - cnt - 1;
if(sum[R] - sum[L - 1] < y)
{
puts("-1");
continue;
}
int pos = lower_bound(sum + L,sum + R + 1,y + sum[L-1]) - sum;
ll tx = sum[pos] - sum[L - 1] - y;
ans1 = node[pos].pos;
ans2 = node[pos].r - tx;
printf("%I64d %I64d\n",ans1,ans2);
}
else
{
int val = f(x,y),p1,p2;
tmp = Node(-inf,0,0,val);
p1 = lower_bound(node + 1,node + tot + 1,tmp) - (node );
ans1 = cnt[p1];
tmp = Node(x,x,y,val);
p2 = lower_bound(node + p1,node + tot + 1,tmp) - node;
ans2 = sum[p2 - 1] - sum[p1 - 1] + y - node[p2].l + 1;
printf("%I64d %I64d\n",ans1,ans2);
}
}
}
return 0;
}

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#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
#include <assert.h>
using namespace std;
const int MOD = 1e8+9;
void Add(int &a,int b){
a += b;
if(a >= MOD)a -= MOD;
}
int vis[10][33][22][1<<10];
int dp[10][33][22][1<<10];
int TT;
int prime;
int n;
int bit[10][33];
int dfs(int id,int pos,int sum,int s){
if(id == n){
id = 0;
pos--;
sum = 0;
if(pos == -1)return 1;
}
if(vis[id][pos][sum][s] == TT)return dp[id][pos][sum][s];
int end = (s&(1<<id))?bit[id][pos]:prime-1;
int ans = 0;
for(int i = 0;i <= end;i++){
if(sum + i >= prime)break;
Add(ans,dfs(id+1,pos,sum+i,i == end? s : (s & (~(1<<id)))));
}
vis[id][pos][sum][s] = TT;
return dp[id][pos][sum][s] = ans;
}
int x[10];
int solve(){
memset(bit,0,sizeof(bit));
int Max = 0;
for(int i = 0;i < n;i++){
int cnt = 0;
do{
bit[i][cnt++] = x[i]%prime;
x[i] /= prime;
}
while(x[i]);
Max = max(Max,cnt);
}
return dfs(0,Max-1,0,(1<<n)-1);
}
int main()
{
TT = 0;
memset(vis,0,sizeof(vis));
int T;
scanf("%d",&T);
assert(T <= 50 && T >= 1);
int iCase = 0;
while(T--){
iCase++;
TT++;
scanf("%d%d",&n,&prime);
assert(n >= 1 && n <= 10);
assert(prime == 2
|| prime == 3
|| prime == 5
|| prime == 7
|| prime == 11
|| prime == 13
|| prime == 17
|| prime == 19);
long long tot = 1;
for(int i = 0;i < n;i++){
scanf("%d",&x[i]);
assert(x[i] >= 1 && x[i] <= 1000000000);
tot = tot*(1+x[i])%MOD;
}
tot -= solve();
tot = (tot%MOD+MOD)%MOD;
printf("Case #%d: %d\n",iCase,(int)tot);
}
return 0;
}

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#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
#include <assert.h>
using namespace std;
const int MAXN = 100010;
struct Edge{
int to,next;
int index;
}edge[MAXN*2];
int head[MAXN],tot;
void init(){
tot = 0;
memset(head,-1,sizeof(head));
}
inline void addedge(int u,int v,int index){
edge[tot].to = v;
edge[tot].next = head[u];
edge[tot].index = index;
head[u] = tot++;
}
int F[MAXN];
inline int find(int x){
if(F[x] == -1)return x;
return F[x] = find(F[x]);
}
inline void bing(int x,int y){
int t1 = find(x);
int t2 = find(y);
if(t1 != t2)F[t1] = t2;
}
long long PF[MAXN],EF[MAXN];
struct Node{
int id;
int v,val;
int next;
Node(int _id = 0,int _v = 0,int _val = 0){
id = _id;
v = _v;
val = _val;
}
}query[MAXN*2];
int h[MAXN];
int tt;
inline void init2(){
tt = 0;
memset(h,-1,sizeof(h));
}
inline void add_query(int u,int v,int id,int val){
query[tt].id = id;
query[tt].next = h[u];
query[tt].v = v;
query[tt].val = val;
h[u] = tt++;
}
bool vis[MAXN];
int fa[MAXN];
bool ff[MAXN];
int sta[MAXN];
int cur[MAXN];
void dfs1(int u,int pre){
memcpy(cur,head,sizeof(head));
memset(ff,false,sizeof(ff));
fa[1] = -1;
int top = 0;
sta[top++] = 1;
while(top != 0){
u = sta[top-1];
if(!ff[u])ff[u] = true;
bool flag = false;
for(int i = cur[u];i != -1;i = edge[i].next){
int v = edge[i].to;
if(ff[v])continue;
fa[v] = u;
sta[top++] = v;
flag = true;
cur[u] = edge[i].next;
break;
}
if(!flag){
top--;
for(int i = h[u];i != -1;i = query[i].next){
int v = query[i].v;
int type = query[i].id;
int w = query[i].val;
if(vis[v]){
if(type == 1){
PF[find(v)] -= w;
if(fa[find(v)] != -1)PF[fa[find(v)]] -= w;
PF[v] += w;
}
else {
EF[find(v)] -= 2*w;
EF[v] += w;
}
}
else {
if(type == 1)PF[v] += w;
else EF[v] += w;
}
}
if(fa[u] != -1)bing(u,fa[u]);
vis[u] = true;
}
}
}
long long a[MAXN];
long long ans1[MAXN],ans2[MAXN];
int gg[MAXN];
void dfs2(int u,int pre){
int l,r;
gg[l = r = 1] = 1;
for(;l <= r;l++)
for(int i = head[gg[l]];i != -1;i = edge[i].next){
int v = edge[i].to;
if(v == fa[gg[l]])continue;
gg[++r] = v;
}
for(l--;l;l--){
u = gg[l];
for(int i = head[u];i != -1;i = edge[i].next){
int v = edge[i].to;
if(v == fa[u])continue;
EF[u] += EF[v];
PF[u] += PF[v];
ans2[edge[i].index] = EF[v];
}
ans1[u] = PF[u] + a[u];
}
}
template <class T>
inline bool scan_d(T &ret) {
char c; int sgn;
if(c=getchar(),c==EOF) return 0;
while(c!='-'&&(c<'0'||c>'9')) c=getchar();
sgn=(c=='-')?-1:1;
ret=(c=='-')?0:(c-'0');
while(c=getchar(),c>='0'&&c<='9') ret=ret*10+(c-'0');
ret*=sgn;
return 1;
}
inline void out(long long x) {
if(x>9) out(x/10);
putchar(x%10+'0');
}
int main()
{
int n,m;
int T;
scanf("%d",&T);
int iCase = 0;
while(T--){
iCase++;
init();
scan_d(n);
scan_d(m);
assert(n >= 1 && n <= 100000 && m >= 1 && m <= 100000);
memset(a,0,sizeof(a));
int u,v,w;
for(int i = 1;i < n;i++){
scan_d(u);
scan_d(v);
addedge(u,v,i);
addedge(v,u,i);
}
char op[20];
init2();
while(m--){
scanf("%s",op);
scan_d(u);
scan_d(v);
scan_d(w);
assert(u >= 1 && u <= n);
assert(v >= 1 && v <= n);
assert(abs(w) <= 100000);
if(op[3] == '1'){
if(u == v)a[u] += w;
else {
add_query(u,v,1,w);
add_query(v,u,1,w);
}
}
else {
if(u == v)continue;
else {
add_query(u,v,2,w);
add_query(v,u,2,w);
}
}
}
memset(PF,0,sizeof(PF));
memset(EF,0,sizeof(EF));
memset(F,-1,sizeof(F));
memset(vis,false,sizeof(vis));
dfs1(1,-1);
dfs2(1,-1);
printf("Case #%d:\n",iCase);
for(int i = 1;i <= n;i++){
out(ans1[i]);
if(i < n)printf(" ");
else printf("\n");
}
for(int i = 1;i < n;i++){
out(ans2[i]);
if(i < n-1)printf(" ");
}
printf("\n");
}
return 0;
}

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#include <iostream>
#include <cstdio>
#include <cstring>
#include <queue>
#include <map>
#include <algorithm>
using namespace std ;
typedef __int64 ll ;
double dp[1005][1050] ;
double p[15][1005] ;
int n,m ;
int main()
{
int T ;
scanf("%d",&T) ;
for(int cas=1 ;cas<=T ;cas++)
{
scanf("%d%d",&n,&m) ;
for(int i=0 ;i<n ;i++)
{
for(int j=0 ;j<m ;j++)
scanf("%lf",&p[i][j]) ;
}
for(int i=0 ;i<1005 ;i++)
for(int j=0 ;j<1050 ;j++)
dp[i][j]=-1.0 ;
dp[0][0]=0.0 ;
int sm=(1<<n)-1 ;
for(int i=0 ;i<m ;i++)
{
for(int s=0 ;s<=sm ;s++)
{
if(dp[i][s]<0.0)continue ;
int st=0 ;
for(int j=0 ;j<n ;j++)
{
if(!((1<<j)&s))
{
st=(1<<j)|s ;
if(st==sm)st=0 ;
dp[i+1][st]=max(dp[i+1][st],dp[i][s]+p[j][i]) ;
}
}
}
}
double ans=0.0 ;
for(int i=0 ;i<=sm ;i++)
ans=max(ans,dp[m][i]) ;
printf("Case #%d: %.5lf\n",cas,ans) ;
}
return 0 ;
}

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#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
#include <assert.h>
using namespace std;
const int maxnode = 4000;
const int MaxM = 70;
const int MaxN = 70;
int K;
struct DLX
{
int n,m,size;
int U[maxnode],D[maxnode],R[maxnode],L[maxnode],Row[maxnode],Col[maxnode];
int H[MaxN],S[MaxM];
int ands,ans[MaxN];
void init(int _n,int _m)
{
n = _n;
m = _m;
for(int i = 0;i <= m;i++)
{
S[i] = 0;
U[i] = D[i] = i;
L[i] = i-1;
R[i] = i+1;
}
R[m] = 0; L[0] = m;
size = m;
for(int i = 1;i <= n;i++)
H[i] = -1;
}
void Link(int r,int c)
{
++S[Col[++size]=c];
Row[size] = r;
D[size] = D[c];
U[D[c]] = size;
U[size] = c;
D[c] = size;
if(H[r] < 0)H[r] = L[size] = R[size] = size;
else
{
R[size] = R[H[r]];
L[R[H[r]]] = size;
L[size] = H[r];
R[H[r]] = size;
}
}
void remove(int c)
{
for(int i = D[c];i != c;i = D[i])
L[R[i]] = L[i], R[L[i]] = R[i];
}
void resume(int c)
{
for(int i = U[c];i != c;i = U[i])
L[R[i]]=R[L[i]]=i;
}
bool v[maxnode];
int f()
{
int ret = 0;
for(int c = R[0];c != 0;c = R[c])v[c] = true;
for(int c = R[0];c != 0;c = R[c])
if(v[c])
{
ret++;
v[c] = false;
for(int i = D[c];i != c;i = D[i])
for(int j = R[i];j != i;j = R[j])
v[Col[j]] = false;
}
return ret;
}
bool Dance(int d)
{
if(d + f() > K)return false;
if(R[0] == 0)return d <= K;
int c = R[0];
for(int i = R[0];i != 0;i = R[i])
if(S[i] < S[c])
c = i;
for(int i = D[c];i != c;i = D[i])
{
remove(i);
for(int j = R[i];j != i;j = R[j])remove(j);
if(Dance(d+1))return true;
for(int j = L[i];j != i;j = L[j])resume(j);
resume(i);
}
return false;
}
};
DLX g;
struct Point
{
int x,y;
void input()
{
scanf("%d%d",&x,&y);
}
}city[MaxM];
long long dis(Point a,Point b)
{
return (long long)abs(a.x-b.x)+(long long)abs(a.y-b.y);
}
int main()
{
int T;
int n;
scanf("%d",&T);
int iCase = 0;
while(T--)
{
iCase++;
scanf("%d%d",&n,&K);
assert(n >= 1 && n <= 60 && K >= 1 && K <= n);
for(int i = 0;i < n;i++){
city[i].input();
assert(abs(city[i].x) <= 1000000000);
assert(abs(city[i].y) <= 1000000000);
}
long long l = 0, r = 100000000000LL;
long long ans = 0;
while(l <= r)
{
long long mid = (l+r)/2;
g.init(n,n);
for(int i = 0;i < n;i++)
for(int j = 0;j < n;j++)
if(dis(city[i],city[j]) <= mid)
g.Link(i+1,j+1);
if(g.Dance(0)){r = mid-1;ans = mid;}
else l = mid+1;
}
printf("Case #%d: %I64d\n",iCase,ans);
}
return 0;
}

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#include <cstdio>
using namespace std ;
typedef __int64 ll ;
const ll mod=1000000 ;
int main()
{
int T ;
scanf("%d",&T) ;
for(int cas=1 ;cas<=T ;cas++)
{
ll n ;
scanf("%I64d",&n) ;
ll t=8*n-7 ;
ll lt=t/mod ;
ll rt=t%mod ;
lt*=n ;
rt=rt*n+1 ;
lt=lt+rt/mod ;
rt%=mod ;
printf("Case #%d: ",cas) ;
if(lt)printf("%I64d%06I64d\n",lt,rt) ;
else printf("%I64d\n",rt) ;
}
return 0 ;
}

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#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
#include <assert.h>
using namespace std;
const double eps = 1e-8;
inline double sqr(double x){return x*x;}
struct Point{
double x,y,z;
void input(){
scanf("%lf%lf%lf",&x,&y,&z);
assert(fabs(x) <= 10000);
assert(fabs(y) <= 10000);
assert(fabs(z) <= 10000);
}
};
struct Line{
Point s,e;
void input(){
s.input();
e.input();
}
double len(){
return sqrt((s.x-e.x)*(s.x-e.x)+(s.y-e.y)*(s.y-e.y)+(s.z-e.z)*(s.z-e.z));
}
};
struct Ellipsoid{
double x,y,z,a,b,c;
char color[5];
void input(){
scanf("%lf%lf%lf%lf%lf%lf%s",&x,&y,&z,&a,&b,&c,color);
assert(fabs(x) <= 10000);
assert(fabs(y) <= 10000);
assert(fabs(z) <= 10000);
assert(a >= 1 && a <= 10000);
assert(b >= 1 && b <= 10000);
assert(c >= 1 && c <= 10000);
assert(color[0] == 'R' || color[0] == 'G' || color[0] == 'B');
}
void output(){
printf("%lf %lf %lf %lf %lf %lf %s\n",x,y,z,a,b,c,color);
}
};
double calc(vector<Line>line,vector<Ellipsoid>el){
double ans = 0;
int sz1 = line.size();
for(int i = 0;i < sz1;i++){
vector<pair<double,int> >vec;
vec.push_back(make_pair(0.0,0));
vec.push_back(make_pair(1.0,0));
double len = line[i].len();
if(fabs(len) < eps)continue;
double x1 = line[i].s.x;
double y1 = line[i].s.y;
double z1 = line[i].s.z;
double dx = line[i].e.x - line[i].s.x;
double dy = line[i].e.y - line[i].s.y;
double dz = line[i].e.z - line[i].s.z;
int sz = el.size();
for(int j = 0;j < sz;j++){
double a = sqr(dx)/sqr(el[j].a) + sqr(dy)/sqr(el[j].b) + sqr(dz)/sqr(el[j].c);
double b = 2*dx*(x1-el[j].x)/sqr(el[j].a) +
2*dy*(y1-el[j].y)/sqr(el[j].b) + 2*dz*(z1-el[j].z)/sqr(el[j].c);
double c = sqr(x1-el[j].x)/sqr(el[j].a) + sqr(y1-el[j].y)/sqr(el[j].b)
+ sqr(z1-el[j].z)/sqr(el[j].c) - 1;
double delta = b*b - 4*a*c;
if(delta < eps)continue;
double k1 = (-b+sqrt(delta))/(2*a);
double k2 = (-b-sqrt(delta))/(2*a);
if(k1 > k2)swap(k1,k2);
k1 = max(0.0,k1);
k2 = min(1.0,k2);
if(k1 >= k2)continue;
vec.push_back(make_pair(k1,1));
vec.push_back(make_pair(k2,-1));
}
int cnt = 0;
sort(vec.begin(),vec.end());
int sz2 = vec.size();
double pre = 0;
for(int j = 0;j < sz2;j++){
if(cnt > 0)
ans += (vec[j].first - pre)*len;
pre = vec[j].first;
cnt += vec[j].second;
}
}
return ans;
}
Line line[110];
Ellipsoid el[110];
vector<Line>vec1;
vector<Ellipsoid>vec2;
int main()
{
int T;
scanf("%d",&T);
assert(T >= 1 && T <= 100);
int iCase = 0;
int n,m;
while(T--){
iCase++;
scanf("%d%d",&n,&m);
for(int i = 0;i < n;i++)line[i].input();
for(int i = 0;i < m;i++){
el[i].input();
}
vec1.clear();
for(int i = 0;i < n;i++)vec1.push_back(line[i]);
double tot = 0;
for(int i = 0;i < n;i++)tot += line[i].len();
vec2.clear();
for(int i = 0;i < m;i++)
if(el[i].color[0] == 'R')
vec2.push_back(el[i]);
double R = calc(vec1,vec2);
vec2.clear();
for(int i = 0;i < m;i++)
if(el[i].color[0] == 'G')
vec2.push_back(el[i]);
double G = calc(vec1,vec2);
vec2.clear();
for(int i = 0;i < m;i++)
if(el[i].color[0] == 'B')
vec2.push_back(el[i]);
double B = calc(vec1,vec2);
vec2.clear();
for(int i = 0;i < m;i++)
if(el[i].color[0] == 'R' || el[i].color[0] == 'G')
vec2.push_back(el[i]);
double RG = calc(vec1,vec2);
vec2.clear();
for(int i = 0;i < m;i++)
if(el[i].color[0] == 'R' || el[i].color[0] == 'B')
vec2.push_back(el[i]);
double RB = calc(vec1,vec2);
vec2.clear();
for(int i = 0;i < m;i++)
if(el[i].color[0] == 'G' || el[i].color[0] == 'B')
vec2.push_back(el[i]);
double GB = calc(vec1,vec2);
vec2.clear();
for(int i = 0;i < m;i++)
if(el[i].color[0] == 'R' || el[i].color[0] == 'G' || el[i].color[0] == 'B')
vec2.push_back(el[i]);
double RGB = calc(vec1,vec2);
double ans1 = RGB - GB;
double ans2 = RGB - RB;
double ans3 = RGB - RG;
double ans4 = RGB - B - ans1 - ans2;
double ans5 = RGB - G - ans1 - ans3;
double ans6 = RGB - R - ans2 - ans3;
double ans7 = R + G - RG - ans4;
double aa = tot-RGB;
if(fabs(aa) < eps)aa = 0;
if(fabs(ans1) < eps)ans1 = 0;
if(fabs(ans2) < eps)ans2 = 0;
if(fabs(ans3) < eps)ans3 = 0;
if(fabs(ans4) < eps)ans4 = 0;
if(fabs(ans5) < eps)ans5 = 0;
if(fabs(ans6) < eps)ans6 = 0;
if(fabs(ans7) < eps)ans7 = 0;
printf("%.10lf\n",aa);
printf("%.10lf\n",ans1);
printf("%.10lf\n",ans2);
printf("%.10lf\n",ans3);
printf("%.10lf\n",ans4);
printf("%.10lf\n",ans5);
printf("%.10lf\n",ans6);
printf("%.10lf\n",ans7);
}
return 0;
}

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#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
#include <assert.h>
using namespace std;
const int MOD = 20140927;
struct Matrix{
int mat[2][2];
void init(){
memset(mat,0,sizeof(mat));
}
Matrix operator *(const Matrix &b)const{
Matrix ret;
for(int i = 0;i < 2;i++)
for(int j = 0;j < 2;j++){
ret.mat[i][j] = 0;
for(int k = 0;k < 2;k++){
ret.mat[i][j] += (long long)mat[i][k]*b.mat[k][j]%MOD;
if(ret.mat[i][j] >= MOD)
ret.mat[i][j] -= MOD;
}
}
return ret;
}
void output(){
printf("%d %d\n%d %d\n",mat[0][0],mat[0][1],mat[1][0],mat[1][1]);
}
};
Matrix pow_M(Matrix A,int n){
Matrix ret;
ret.mat[0][0] = ret.mat[1][1] = 1;
ret.mat[0][1] = ret.mat[1][0] = 0;
Matrix tmp = A;
while(n){
if(n&1)ret = ret*tmp;
tmp = tmp*tmp;
n >>= 1;
}
return ret;
}
Matrix A[11*11*11 + 100];
vector<int>vec;
Matrix B;
Matrix C;
struct Matrix2{
int mat[2][2];
void init(){
memset(mat,0,sizeof(mat));
}
Matrix2 operator *(const Matrix2 &b)const{
Matrix2 ret;
for(int i = 0;i < 2;i++)
for(int j = 0;j < 2;j++){
ret.mat[i][j] = 0;
for(int k = 0;k < 2;k++)
if(mat[i][k] && b.mat[k][j])
ret.mat[i][j] = 1;
}
return ret;
}
};
Matrix2 pow_M(Matrix2 A,int n){
Matrix2 ret;
ret.mat[0][0] = ret.mat[1][1] = 1;
ret.mat[0][1] = ret.mat[1][0] = 0;
Matrix2 tmp = A;
while(n){
if(n&1)ret = ret*tmp;
tmp = tmp*tmp;
n >>= 1;
}
return ret;
}
Matrix2 A2[11*11*11 + 100];
Matrix2 B2;
Matrix2 C2;
void Add(int &a,int b){
if(a || b)a = 1;
}
int main()
{
for(int i = 0;i < 11*11*11;i++)A[i].init();
for(int i = 0;i < 11*11*11;i++)A2[i].init();
for(int x = 0;x < 11;x++)
for(int y = 0;y < 11;y++)
for(int z = 0; z < 11;z++){
int id = x*11*11 + y*11 + z;
for(int i = 0;i < 10;i++){
if(x != 10 && x != i)continue;
for(int j = 0;j < 10;j++){
if(y != 10 && y != j)continue;
for(int k = 0;k < 10;k++){
if(z != 10 && z != k)continue;
if(i + j == k)A[id].mat[0][0]++;
if(i + j == 10 + k)A[id].mat[0][1]++;
if(i + j + 1 == k)A[id].mat[1][0]++;
if(i + j + 1 == 10 + k)A[id].mat[1][1]++;
if(i + j == k)Add(A2[id].mat[0][0],1);
if(i + j == 10 + k)Add(A2[id].mat[0][1],1);
if(i + j + 1 == k)Add(A2[id].mat[1][0],1);
if(i + j + 1 == 10 + k)Add(A2[id].mat[1][1],1);
}
}
}
}
int T;
int iCase = 0;
int n1,m1,n2,m2,n3,m3;
scanf("%d",&T);
while(T--){
iCase++;
scanf("%d%d",&n1,&m1);
assert(n1 >= 1 && n1 <= 10000000);
assert(m1 >= 0 && m1 <= n1);
map<int,int>mp1;
map<int,int>mp2;
map<int,int>mp3;
bool flag = true;
vec.clear();
int id,x;
while(m1--){
scanf("%d%d",&id,&x);
id = n1 - 1 - id;
vec.push_back(id);
if(mp1.find(id) != mp1.end()){
if(mp1[id] != x)flag = false;
}
else mp1[id] = x;
}
scanf("%d%d",&n2,&m2);
assert(n2 >= 1 && n2 <= 10000000);
assert(m2 >= 0 && m2 <= n2);
while(m2--){
scanf("%d%d",&id,&x);
id = n2 - 1 - id;
vec.push_back(id);
if(mp2.find(id) != mp2.end()){
if(mp2[id] != x)flag = false;
}
else mp2[id] = x;
}
scanf("%d%d",&n3,&m3);
assert(n3 >= 1 && n3 <= 10000000);
assert(m3 >= 0 && m3 <= n3);
while(m3--){
scanf("%d%d",&id,&x);
id = n3 - 1 - id;
vec.push_back(id);
if(mp3.find(id) != mp3.end()){
if(mp3[id] != x)flag = false;
}
else mp3[id] = x;
}
if((!flag) || (n1 < max(n2,n3)) || (n1 > max(n2,n3)+1)){
printf("Case #%d: IMPOSSIBLE\n",iCase);
continue;
}
vec.push_back(n2-1);
vec.push_back(n3-1);
sort(vec.begin(),vec.end());
vec.erase(unique(vec.begin(),vec.end()),vec.end());
int mn = max(n2,n3);
B.init();
B.mat[0][0] = B.mat[1][1] = 1;
B2.init();
B2.mat[0][0] = B2.mat[1][1] = 1;
if(vec[0] > 0)B = B * pow_M(A[10*11*11+10*11+10],vec[0]);
if(vec[0] > 0)B2 = B2 * pow_M(A2[10*11*11+10*11+10],vec[0]);
int sz = vec.size();
for(int i = 0;i < sz;i++){
if(i > 0){
B = B * pow_M(A[10*11*11+10*11+10],vec[i]-vec[i-1]-1);
}
int x,y,z;
if(mp2.find(vec[i]) == mp2.end())x = 10;
else x = mp2[vec[i]];
if(vec[i] >= n2)x = 0;
if(mp3.find(vec[i]) == mp3.end())y = 10;
else y = mp3[vec[i]];
if(vec[i] >= n3)y = 0;
if(mp1.find(vec[i]) == mp1.end())z = 10;
else z = mp1[vec[i]];
if(vec[i] >= n1)z = 0;
if(vec[i] != n2-1 && vec[i] != n3-1){
B = B * A[x*11*11+y*11+z];
B2 = B2 * A2[x*11*11+y*11+z];
}
else {
C.init();
C2.init();
for(int p = 0;p < 10;p++)
for(int q = 0;q < 10;q++)
for(int r = 0;r < 10;r++){
if(x != 10 && p != x)continue;
if(y != 10 && q != y)continue;
if(z != 10 && r != z)continue;
if(n2 != 1 && vec[i] == n2-1 && p == 0)continue;
if(n3 != 1 && vec[i] == n3-1 && q == 0)continue;
if(vec[i] >= n2 && p != 0)continue;
if(vec[i] >= n3 && q != 0)continue;
if(p+q == r)C.mat[0][0]++;
if(p+q == r+10)C.mat[0][1]++;
if(p+q+1 == r)C.mat[1][0]++;
if(p+q+1 == r + 10)C.mat[1][1]++;
if(p+q == r)Add(C2.mat[0][0],1);
if(p+q == r+10)Add(C2.mat[0][1],1);
if(p+q+1 == r)Add(C2.mat[1][0],1);
if(p+q+1 == r + 10)Add(C2.mat[1][1],1);
}
B = B*C;
B2 = B2*C2;
}
}
int ans = 0;
int ans2 = 0;
if(n1 == max(n2,n3)){
ans = B.mat[0][0];
ans2 = B2.mat[0][0];
}
else{
if(mp1.find(n1-1) != mp1.end() && mp1[n1-1] != 1){
printf("Case #%d: IMPOSSIBLE\n",iCase);
continue;
}
ans = B.mat[0][1];
ans2 = B2.mat[0][1];
}
if(ans2 == 0)printf("Case #%d: IMPOSSIBLE\n",iCase);
else printf("Case #%d: %d\n",iCase,ans);
}
return 0;
}

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#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
using namespace std;
struct BigNum{
int a[10100];
int n;
void input(char str[]){
n = strlen(str);
for(int i = 0;i < n;i++)
a[i] = str[n-1-i]-'0';
}
bool operator <(const BigNum &b)const{
if(n < b.n)return true;
if(n > b.n)return false;
for(int i = n-1;i >= 0;i--){
if(a[i] < b.a[i])return true;
if(a[i] > b.a[i])return false;
}
return true;
}
BigNum operator -(const BigNum &b)const{
BigNum ret;
ret.n = n;
int mu = 0;
for(int i = 0;i < n;i++){
int tmp;
if(i < b.n)tmp = a[i] - b.a[i] - mu;
else tmp = a[i] - mu;
if(tmp >= 0){
mu = 0;
ret.a[i] = tmp;
}
else {
mu = 1;
ret.a[i] = tmp+2;
}
}
while(ret.n > 0 && ret.a[ret.n-1] == 0)ret.n--;
return ret;
}
BigNum div2(){
BigNum ret;
ret.n = n-1;
for(int i = 0;i < n-1;i++)
ret.a[i] = a[i+1];
return ret;
}
void output(){
for(int i = n-1;i >= 0;i--)
printf("%d",a[i]);
}
};
void gcd(BigNum a,BigNum b){
int c2 = 0;
while(a.n && b.n){
if(a.a[0]){
if(b.a[0]){
if(b < a)a = a-b;
else b = b-a;
}
else b = b.div2();
}
else {
if(b.a[0])a = a.div2();
else{
a = a.div2();
b = b.div2();
c2++;
}
}
}
if(a.n)a.output();
else b.output();
while(c2--){
printf("0");
}
printf("\n");
}
char str[10010];
BigNum a,b,c;
int main()
{
int T;
scanf("%d",&T);
int iCase = 0;
while(T--){
iCase++;
scanf("%s",str);
a.input(str);
scanf("%s",str);
b.input(str);
printf("Case #%d: ",iCase);
gcd(a,b);
}
return 0;
}

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#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
using namespace std;
int main()
{
int T;
int iCase = 0;
scanf("%d",&T);
int n,b,q;
while(T--){
iCase++;
scanf("%d%d%d",&n,&b,&q);
printf("Case #%d: ",iCase);
if(q == 1){
bool flag = false;
while(b){
if(n == b){
flag = true;
break;
}
b /= 10;
}
if(flag)printf("1.00000\n");
else printf("0.00000\n");
}
else if(q == 10 || q == 100 || q == 1000){
b *= 100000;
bool flag = false;
while(b){
if(n == b){
flag = true;
break;
}
b /= 10;
}
if(flag)printf("1.00000\n");
else printf("0.00000\n");
}
else {
double ans = (log(n+1)-log(n))/log(10);
printf("%.5lf\n",ans);
}
}
return 0;
}

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#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
#include <assert.h>
using namespace std;
const int MAXN = 50010;
const int INF = 0x3f3f3f3f;
struct Node *null;
struct Node{
Node *fa,*ch[2];
int val;
int Max,Min;
int mm;
int rmm;
int rev,add;
inline void clear(int _val){
fa = ch[0] = ch[1] = null;
val = Max = Min = _val;
mm = 0;
rmm = 0;
rev = 0;
add = 0;
}
inline void push_up(){
if(this == null)return;
mm = 0;
mm = max(mm,ch[0]->mm);
mm = max(mm,ch[1]->mm);
mm = max(mm,max(val,ch[1]->Max)-ch[0]->Min);
mm = max(mm,ch[1]->Max-min(ch[0]->Min,val));
rmm = 0;
rmm = max(rmm,ch[0]->rmm);
rmm = max(rmm,ch[1]->rmm);
rmm = max(rmm,max(val,ch[0]->Max)-ch[1]->Min);
rmm = max(rmm,ch[0]->Max-min(ch[1]->Min,val));
Max = max(val,max(ch[0]->Max,ch[1]->Max));
Min = min(val,min(ch[0]->Min,ch[1]->Min));
}
inline void setc(Node *p,int d){
ch[d] = p;
p->fa = this;
}
inline bool d(){
return fa->ch[1] == this;
}
inline bool isroot(){
return fa == null || fa->ch[0] != this && fa->ch[1] != this;
}
inline void flip(){
if(this == null)return;
swap(ch[0],ch[1]);
swap(mm,rmm);
rev ^= 1;
}
inline void update_add(int w){
if(this == null)return;
val += w;
Min += w;
Max += w;
add += w;
}
inline void push_down(){
if(this == null)return;
if(rev){
ch[0]->flip(); ch[1]->flip(); rev = 0;
}
if(add){
ch[0]->update_add(add);ch[1]->update_add(add);
add = 0;
}
}
inline void go(){
if(!isroot())fa->go();
push_down();
}
inline void rot(){
Node *f = fa, *ff = fa->fa;
int c = d(), cc = fa->d();
f->setc(ch[!c],c);
this->setc(f,!c);
if(ff->ch[cc] == f)ff->setc(this,cc);
else this->fa = ff;
f->push_up();
}
inline Node* splay(){
go();
while(!isroot()){
if(!fa->isroot())
d()==fa->d() ? fa->rot() : rot();
rot();
}
push_up();
return this;
}
inline Node* access(){
for(Node *p = this, *q = null; p != null; q = p, p = p->fa){
p->splay()->setc(q,1);
p->push_up();
}
return splay();
}
inline void make_root(){
access()->flip();
}
};
Node pool[MAXN],*tail;
Node *node[MAXN];
struct Edge{
int to,next;
}edge[MAXN*2];
int head[MAXN],tot;
void init(){
tot = 0;
memset(head,-1,sizeof(head));
}
inline void addedge(int u,int v){
edge[tot].to = v;
edge[tot].next = head[u];
head[u] = tot++;
}
int g[MAXN];
int fa[MAXN];
void bfs(int s){
int l,r;
g[l=r=1] = s;
fa[s] = s;
while(l <= r){
int u = g[l++];
for(int i = head[u];i != -1;i = edge[i].next){
int v = edge[i].to;
if(v == fa[u])continue;
fa[v] = u;
node[v]->fa = node[u];
g[++r] = v;
}
}
}
int main()
{
int T;
int n,m;
scanf("%d",&T);
assert(T > 0 && T <= 10);
while(T--){
scanf("%d",&n);
tail = pool;
null = tail++;
null->fa = null->ch[0] = null->ch[1] = null;
null->Max = -INF;
null->Min = INF;
null->mm = 0;
null->add = null->rev = 0;
int w;
for(int i = 1;i <= n;i++){
scanf("%d",&w);
node[i] = tail++;
node[i]->clear(w);
}
init();
int u,v;
for(int i = 1;i < n;i++){
scanf("%d%d",&u,&v);
addedge(u,v);
addedge(v,u);
}
bfs(1);
scanf("%d",&m);
while(m--){
scanf("%d%d%d",&u,&v,&w);
node[u]->make_root();
node[v]->access();
printf("%d\n",node[v]->mm);
node[v]->update_add(w);
}
}
return 0;
}

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#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
using namespace std;
int main()
{
int T;
int iCase = 0;
scanf("%d",&T);
long long a,b;
while(T--){
iCase++;
scanf("%I64d%I64d",&a,&b);
a--;
long long ans = (b*(b+1)/2)*(b*(b+1)/2) - (a*(a+1)/2)*(a*(a+1)/2);
printf("Case #%d: %I64d\n",iCase,ans);
}
return 0;
}

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#include<iostream>
#include<stdio.h>
using namespace std;
int main()
{
int N,M,x,y;
while(scanf("%d%d%d%d",&N,&M,&x,&y)!=EOF)
{
if(2*x==N&&2*y==M)
printf("YES\n");
else
printf("NO\n");
}
return 0;
}

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#include<cstdio>
#include<cstring>
#include<algorithm>
#include<functional>
#include<iostream>
using namespace std;
int str[120];
int main()
{
int n,i,res;
while(scanf("%d",&n)!=EOF)
{
res=10;
for(i=0;i<n;i++)
{
scanf("%d",&str[i]);
if(str[i]&1==1&&res>str[i])
res=str[i];
}
if(res==10){
printf("-1\n");
continue;
}
sort(str,str+n,greater<int>());
int fir=-1,st=res;
for(i=0;i<n;i++)
{
if(res==str[i]) res=-1;
else
{
fir=str[i];
break;
}
}
if(fir==0) printf("-1\n");
else
{
if(fir!=-1)
printf("%d",fir);
for( i++; i<n;i++)
if(res==str[i])res=-1;
else
printf("%d",str[i]);
printf("%d\n",st);
}
}
return 0;
}

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#include <cstdio>
#include <stack>
#include <set>
#include <iostream>
#include <string>
#include <vector>
#include <queue>
#include <functional>
#include <cstring>
#include <algorithm>
#include <cctype>
#include <ctime>
#include <cstdlib>
#include <fstream>
#include <string>
#include <sstream>
#include <map>
#include <cmath>
#define LL long long
#define lowbit(x) ((x) & (-x))
#define MP(a, b) make_pair(a, b)
#define MS(arr, num) memset(arr, num, sizeof(arr))
#define PB push_back
#define F first
#define S second
#define ROP freopen("input.txt", "r", stdin);
#define BitCount(x) __builtin_popcount(x)
const double PI = acos(-1.0);
const int INF = 0x3f3f3f3f;
using namespace std;
const int MAXN = 1e5 + 100;
const int MOD = 20071027;
typedef pair<int, int> pii;
typedef vector<int>::iterator viti;
typedef vector<pii>::iterator vitii;
char str[MAXN];
int cnt[30];
int main()
{
//ROP;
int n, i, j, last, T, k;
scanf("%d", &T);
while (T--)
{
MS(cnt, 0);
int pos = 1;
scanf("%s", str + 1);
scanf("%d", &k);
int len = strlen(str + 1);
LL ans = 0;
for (i = 1; i <= len; i++)
{
cnt[str[i] - 'a']++;
while (cnt[str[i] - 'a'] > k)
{
cnt[str[pos] - 'a']--;
pos++;
}
ans += i - pos + 1;
}
cout << ans << endl;
}
return 0;
}

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#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<vector>
#define ll long long
using namespace std;
const int maxn=100005;
int n,m;
int digit[maxn][10];
int block[400][10][10];
int X,Y,L,R,D,P;
int main()
{
int x;
char str[10];
int t;
scanf("%d",&t);
while(t--) {
scanf("%d%d",&n,&m);
memset(block,0,sizeof(block));
for(int i=1;i<=n;i++) {
scanf("%d",&x);
int b=(i>>8);
for(int j=1;j<=10;j++) {
digit[i][j]=x%10;
block[b][j][x%10]++;
x/=10;
}
}
for(int i=0;i<m;i++) {
scanf("%s",str);
if(str[0]=='S') {
scanf("%d%d",&X,&Y);
int b=(X>>8);
for(int j=1;j<=10;j++) {
block[b][j][digit[X][j]]--;
digit[X][j]=Y%10;
block[b][j][Y%10]++;
Y/=10;
}
}
else {
scanf("%d%d%d%d",&L,&R,&D,&P);
int bl=((L-1)>>8)+1,br=((R+1)>>8)-1;
int ans=0;
if(bl<=br) {
for(int i=bl;i<=br;i++)
ans+=block[i][D][P];
for(int i=L;i<(bl<<8);i++)
ans+=(digit[i][D]==P);
for(int i=((br+1)<<8);i<=R;i++)
ans+=(digit[i][D]==P);
}
else {
for(int i=L;i<=R;i++) {
ans+=(digit[i][D]==P);
}
}
printf("%d\n",ans);
}
}
}
return 0;
}

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#include <cstdio>
#include <algorithm>
#include <set>
using namespace std;
int main()
{
set<int>s1,s2;
int n;
while(~scanf("%d",&n))
{
s1.clear();
s2.clear();
int tt;
for(int i = 0; i < n; i++)
{
scanf("%d",&tt);
s1.insert(tt);
}
for(int i = 0; i < n; i++)
{
scanf("%d",&tt);
s2.insert(tt);
}
if(s1.size() != s2.size())
{
printf("NO\n");
continue;
}
int flag = 0;
set<int>::iterator it1, it2;
for(it1 = s1.begin(),it2 = s2.begin(); it1!=s1.end()&&it2!=s2.end(); it1++,it2++)
{
if(*it1 != *it2)
{
flag = 1;
break;
}
}
if(flag)
{
printf("NO\n");
}
else
printf("YES\n");
}
return 0;
}

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#include<stdio.h>
#include<stdlib.h>
#include<string.h>
char S[200];
char C[200];
int len;
long long a,b;
int getans(char *A)
{
int i;
int lena=strlen(A);
if(lena==0) return 0;
if(lena!=1&&A[0]=='0') return 0;
for(i=0;i<lena;i++)
if(!('0'<=A[i]&&A[i]<='9')) return 0;
return 1;
}
int main()
{
int ans;
long long k;
while(gets(S)!=NULL)
{
scanf("%I64d%I64d",&a,&b);
gets(C);
len=strlen(S);
if(S[0]=='-'&&S[1]=='0') { printf("NO\n");continue;}
if(len>11||len==0) { printf("NO\n");continue;}
if(len==11&&S[0]!='-') { printf("NO\n");continue;}
if(S[0]=='-')
ans=getans(S+1);
else ans=getans(S);
if(!ans) { printf("NO\n");continue;}
else
{
k=strtoll(S,NULL,10);
if(a<=k&&k<=b) printf("YES\n");
else printf("NO\n");
}
memset(S,0,sizeof(S));
}
return 0;
}

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#include <iostream>
#include <cstdio>
#include <cmath>
#include <cstring>
#include <algorithm>
#include <map>
using namespace std;
const double pi=3.14159265358979,eps=1e-7;
double r,hr,hz;
double f(double n)
{
return pi*(r*r-n*n);
}
double simpson(double a,double b)
{
return (b-a)/6.0*(f(a)+4*f((a+b)/2.0)+f(b));
}
double cal(double a,double b)
{
double sum=simpson(a,b),mid=(a+b)/2.0;
double t=simpson(a,mid)+simpson(mid,b);
if(fabs(t-sum)<eps) return sum;
return cal(a,mid)+cal(mid,b);
}
int main()
{
while(scanf("%lf%lf%lf",&r,&hr,&hz)!=EOF)
{
double v=0,hv=0;
if(hr>=r&&hz>=r)
{
v=4.0/3.0*pi*r*r*r;
hv=2*pi*hr*hr*hz;
printf("%.6lf\n",v/hv);
continue;
}
if(hr>=r&&hz<r)
{
v=4.0/3.0*pi*r*r*r;
double t=2*cal(hz,r);
hv=2*pi*hr*hr*hz;
printf("%.6lf\n",(v-t)/(hv+t));
continue;
}
if(r*r>=hr*hr+hz*hz)
{
v=4.0/3.0*pi*r*r*r;
hv=2*pi*hr*hr*hz;
printf("%.6lf\n",hv/v);
continue;
}
if(hr<r&&hz>=r)
{
v=4.0/3.0*pi*r*r*r;
double t=2*cal(sqrt(r*r-hr*hr),r)+2*sqrt(r*r-hr*hr)*pi*hr*hr;
hv=2*pi*hr*hr*hz;
printf("%.6lf\n",t/(hv+v-t));
continue;
}
v=4.0/3.0*pi*r*r*r;
hv=2*pi*hr*hr*hz;
double t=2*cal(sqrt(r*r-hr*hr),hz)+2*sqrt(r*r-hr*hr)*pi*hr*hr;
printf("%.6lf\n",t/(hv+v-t));
}
return 0;
}

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#include <iostream>
#include <cstdio>
using namespace std;
int main()
{
int T,N;
int array[8] = {1,9,18,54,90,174,258};
scanf("%d",&T);
while(T--)
{
scanf("%d",&N);
printf("%d\n",array[N]);
}
return 0;
}

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#include <iostream>
#include <algorithm>
#include <cstring>
#include <cstdio>
#define MOD 1000000007
#define MAX 200007
using namespace std;
typedef long long LL;
LL a[MAX];
int p,cnt1,cnt2;
int t,n,m;
int bf1 ( int i )
{
if ( i > (n+1)/2 )
{
int temp = i*2-n-1;
if ( n&1 ) return temp;
else return temp+1;
}
else return i*2-1;
}
int bf2 ( int i )
{
return n+1-i;
}
void f3 ( )
{
p++;
}
LL ans[107];
char s[5];
int q[MAX],x;
int query ( int x , int cnt )
{
for ( int i = cnt-1 ; i >= 0 ; i-- )
if ( q[i] == 1 ) x = bf1(x);
else x = bf2(x);
return x;
}
int main ( )
{
scanf ( "%d" , &t );
while ( t-- )
{
p = cnt1 = cnt2 = 0;
scanf ( "%d%d" , &n , &m );
for ( int i = 1 ; i <= n ; i++ )
a[i] = i;
for ( int i = 1 ; i <= m ; i++ )
{
scanf ( "%s" , s );
scanf ( "%d" , &x );
if ( s[0] == 'O' )
{
if ( x == 3 ) f3( );
else q[cnt1++] = x;
}
else
{
int id = query ( x , cnt1 );
LL tx = a[id];
for ( int i = 0 ; i < p ; i++ )
tx *= tx , tx %= MOD;
ans[cnt2++] = tx;
}
}
for ( int i = 0 ; i < cnt2 ; i++ )
printf ( "%I64d\n" , ans[i] );
}
}

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#include<iostream>
#include<stdio.h>
#include<algorithm>
#include<math.h>
#include<string.h>
using namespace std;
#define N 10000000
#define M 3000
int a[N],dp[M][M],s[M],num[M];
int n,m;
int main()
{
int t;
cin>>t;
while(t--)
{
scanf("%d%d",&n,&m);
for(int i=0;i<n;i++)
scanf("%d",&a[i]);
sort(a,a+n);
int tot=0;
int x=1;
a[n]=-1;
for(int i=0;i<n;i++)
if(a[i]!=a[i+1]){
num[tot]=a[i];
s[tot++]=x;
x=1;
}
else x++;
int ans=0;
for(int i=0;i<tot;i++)
{
dp[i][i]=s[i];
int k=i;
int ma=0;
ans=max(dp[i][i],ans);
for(int j=i+1;j<tot;j++)
{
while((num[j]-num[i])>=(num[i]-num[k])&&k>=0)
{
ma=max(ma,dp[k][i]);
k--;
}
dp[i][j]=ma+1;
ans=max(ans,dp[i][j]);
}
}
printf("%d\n",ans);
}
return 0;
}

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#include<iostream>
#include<cmath>
#include<cstdio>
using namespace std;
int A,B,y;
double ans=0;
double inline f(double x)
{
return A*x*x-(B*sin(x)+y);
}
double inline absf(double x)
{
if(f(x)<0)return -f(x);
return f(x);
}
bool findans(double l,double r)
{
if(f(l)*f(r)>0)return 0;
while(r-l>0.00000001)
{
double mid1=l+(r-l)/3,mid2=r-(r-l)/3;
if(absf(mid1)<=absf(mid2))
r=mid2;
else
l=mid1;
}
ans=l;
return 1;
}
int main()
{
int T;
scanf("%d",&T);
while(T--)
{
scanf("%d%d%d",&A,&B,&y);
bool marks=0;ans=0;
for(double x=0;x<50;x=x+0.3)
{
if(findans(x,x+0.3))
{
marks=1;break;
}
}
if(marks)
printf("%.5lf\n",ans);
else
printf("error\n");
}
return 0;
}

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#include <cstdio>
using namespace std;
int main(void)
{
int v,v0;
while(~scanf("%d %d", &v,&v0))
printf("%d\n",2 * v - v0);
return 0;
}

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#include "cstdio"
#include "iostream"
#include "cstring"
#include "vector"
#include "queue"
using namespace std;
#define inf 0x3f3f3f3f
int area[55][55],dp[1<<15][15],vis[55][55],dis[55][55],dir[4][2]={-1,0,1,0,0,-1,0,1},n,m,g;
struct status
{
int x,y,dep;
status(int x,int y,int dep):x(x),y(y),dep(dep) {}
};
int bfs(status s,status e)
{
memset(vis,0,sizeof(vis));
vis[s.x][s.y]=true;
queue<status> Q;
Q.push(status(s.x,s.y,0));
while(!Q.empty())
{
status t=Q.front();Q.pop();
for(int s=0;s<4;s++)
{
int X=t.x+dir[s][0],Y=t.y+dir[s][1];
if(X<1||X>n||Y<1||Y>m||vis[X][Y]) continue;
vis[X][Y]=true;
if(X==e.x&&Y==e.y) return t.dep+1;
Q.push(status(X,Y,t.dep+1));
}
}
}
int main()
{
while(scanf("%d%d",&n,&m)!=EOF)
{
vector<status> stone;
stone.push_back(status(1,1,0));
for(int i=1;i<=n;i++)
for(int j=1;j<=m;j++)
{
scanf("%d",&g);
if(i==1&&j==1) continue;
if(g) stone.push_back(status(i,j,0));
}
for(int i=0;i<stone.size();i++)
{
for(int j=0;j<stone.size();j++)
{
if(i==j) dis[i][j]=0;
else {if(!dis[i][j]) dis[i][j]=dis[j][i]=bfs(stone[i],stone[j]);}
}
}
int s=stone.size();
int cnt=1<<s;
for(int i=0;i<cnt;i++)
{
for(int j=0;j<s;j++)
{
if(!i&(1<<j)) continue;
if(i==(1<<j)) dp[i][j]=dis[0][j];
else
{
dp[i][j]=inf;
for(int k=0;k<s;k++) if(i&(1<<k)&&k!=j) dp[i][j]=min(dp[i][j],dp[i^(1<<j)][k]+dis[k][j]);
}
}
}
int ans=inf;
for(int i=0;i<s;i++)
ans=min(ans,dp[cnt-1][i]+dis[i][0]);
printf("%d\n",ans);
memset(dp,0,sizeof(dp));
memset(dis,0,sizeof(dis));
}
}

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#include<iostream>
#include<sstream>
#include<map>
#include<cmath>
#include<fstream>
#include<queue>
#include<vector>
#include<sstream>
#include<cstring>
#include<cstdio>
#include<stack>
#include<bitset>
#include<ctime>
#include<string>
#include<cctype>
#include<iomanip>
#include<algorithm>
using namespace std ;
#define INT __int64
#define L(x) (x * 2)
#define R(x) (x * 2 + 1)
const int INF = 0x3f3f3f3f ;
const double esp = 0.0000000001 ;
const double PI = acos(-1.0) ;
const INT mod = 1000000007 ;
const int MY = 1400 + 5 ;
const int MX = 50000 + 5 ;
int n ,m ;
struct node
{
int le ,rt ;
INT p[2][2] ;
}T[MX*8] ;
node operator *(const node& a ,const node& b)
{
node c ;
memset(c.p ,0 ,sizeof(c.p)) ;
for(int i = 0 ;i < 2 ; ++i)
for(int k = 0 ;k < 2 ; ++k)
if(a.p[i][k])
for(int j = 0 ;j < 2 ; ++j)
c.p[i][j] = (c.p[i][j] + a.p[i][k]*b.p[k][j])%mod ;
return c ;
}
void build(int x ,int le ,int rt)
{
T[x].le = le ; T[x].rt = rt ;
if(le == rt)
{
for(int i = 0 ;i < 2 ; ++i)
for(int j = 0 ;j < 2 ; ++j)
T[x].p[i][j] = 1 ;
return ;
}
int Mid = (le + rt)>>1 ;
build(L(x) ,le ,Mid) ;
build(R(x) ,Mid+1 ,rt) ;
T[x] = T[L(x)] * T[R(x)] ;
T[x].le = le ; T[x].rt = rt ;
}
void update(int x ,int pos ,int i ,int j)
{
if(T[x].le == T[x].rt)
{
T[x].p[i][j] ^= 1 ;
return ;
}
int Mid = (T[x].le + T[x].rt)>>1 ;
if(pos <= Mid) update(L(x) ,pos ,i ,j) ;
else update(R(x) ,pos ,i ,j) ;
int le = T[x].le ,rt = T[x].rt ;
T[x] = T[L(x)] * T[R(x)] ;
T[x].le = le ; T[x].rt = rt ;
}
node section(int x ,int le ,int rt)
{
if(T[x].le == le && T[x].rt == rt)
return T[x] ;
int Mid = (T[x].le + T[x].rt)>>1 ;
if(rt <= Mid) return section(L(x) ,le ,rt) ;
else if(le > Mid) return section(R(x) ,le ,rt) ;
else
return section(L(x) ,le ,Mid)*section(R(x) ,Mid+1 ,rt) ;
}
int main()
{
//freopen("input.txt" ,"r" ,stdin) ;
int p ,u ,v ,z ;
while(~scanf("%d%d" ,&n ,&m))
{
build(1 ,1 ,n) ;
for(int i = 0 ;i < m ; ++i)
{
scanf("%d" ,&p) ;
if(p)
{
scanf("%d%d%d" ,&u ,&v ,&z) ;
update(1 ,u ,v-1 ,z-1) ;
}
else
{
scanf("%d%d" ,&u ,&v) ;
node ans = section(1 ,u ,v-1) ;
printf("%I64d\n" ,(ans.p[0][0] + ans.p[0][1] + ans.p[1][0] + ans.p[1][1])%mod) ;
}
}
}
return 0 ;
}

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#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<queue>
#include<vector>
#include<set>
#include<stack>
#include<map>
#include<ctime>
#include<bitset>
#define LL long long
#define mod 1000000007
#define maxn 200010
#define INF 0x3f3f3f3f
using namespace std;
struct node
{
int u,id;
bool operator<(const node&s)const
{
return u < s.u ;
}
};
struct SAM
{
SAM *pre,*son[4] ;
int len ,vi;
void init()
{
pre=NULL ;
memset(son,NULL,sizeof(son)) ;
vi=0;
}
}que[maxn*2],*root,*tail,*b[maxn];
int tot,ans[maxn] ,cnt[maxn],s[maxn];
int id(char a )
{
if(a=='A') return 0 ;
else if(a=='C') return 1 ;
else if(a=='G') return 2 ;
return 3 ;
}
vector<node>qe[maxn] ;
void add(int c ,int l)
{
que[tot].init();
SAM *p = tail,*np=&que[tot++] ;
np->len=l;tail=np ;
while(p&&p->son[c]==NULL)p->son[c]=np,p=p->pre ;
if(p==NULL) np->pre = root ;
else
{
SAM *q = p->son[c] ;
if(p->len+1==q->len)np->pre = q ;
else
{
que[tot].init();
SAM *nq = &que[tot++] ;
*nq=*q ;
nq->len = p->len+1;
np->pre=q->pre=nq;
while(p&&p->son[c]==q) p->son[c]=nq,p=p->pre;
}
}
}
char str[maxn] ;
int main()
{
int i , j ,k ,len,n , m;
int u,v ;
node a ;
while(scanf("%d%d",&n,&m) != EOF)
{
for(i=1;i<=n;i++)
qe[i].clear();
len=1;
for( i = 1 ; i <= n ;i++)
{
scanf("%s",str+len) ;
k = strlen(str+len) ;
s[i]=len;
cnt[i]=k;
len += k+1 ;
}
for( i = 1 ; i <= m ;i++)
{
scanf("%d%d",&u,&v) ;
a.id = i ;
a.u = v ;
qe[u].push_back(a);
}
for( i = 1 ; i <= n ;i++)
{
if(qe[i].size()==0) continue ;
sort(qe[i].begin(),qe[i].end());
tot=0;
que[0].init();
root=tail=&que[tot++];
k=1;
for( j = s[i] ; j < s[i]+cnt[i];j++){
add(id(str[j]),k++);
}
SAM *p= tail;
while(p != NULL )
{
p->vi = true;
p=p->pre;
}
for( j = 0 ; j < qe[i].size();j++){
a=qe[i][j] ;
ans[a.id]=0;
if(j&&a.u==qe[i][j-1].u)
{
ans[a.id]=ans[qe[i][j-1].id];
continue ;
}
p = root ;
int tmp=0;
for( k = s[a.u] ; k < s[a.u]+cnt[a.u];k++)
{
int v = id(str[k]) ;
if(p->son[v]==NULL) break ;
p=p->son[v] ;
tmp++;
if(p->vi)
ans[a.id]=max(ans[a.id],tmp);
}
}
}
for( i = 1 ; i <= m ;i++)
printf("%d\n",ans[i]);
}
return 0 ;
}

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#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
using namespace std;
int sta[5010];
int cnt;
int top;
int index;
map<int,long long>mp;
void gao1(int u){
for(int i = 1;i <= cnt;i++)
if(sta[i] == u){
printf("Operation #%d: same priority.\n",index);
return;
}
printf("Operation #%d: success.\n",index);
sta[++cnt] = u;
mp[u] = 0;
}
void gao2(int u){
for(int i = 1;i <= cnt;i++)
if(sta[i] == u){
if(top != -1){
if(top == u){
top = -1;
}
}
for(int j = i;j < cnt;j++)sta[j] = sta[j+1];
cnt--;
printf("Operation #%d: close %d with %I64d.\n",index,u,mp[u]);
return;
}
printf("Operation #%d: invalid priority.\n",index);
}
void gao3(int w){
if(cnt == 0){
printf("Operation #%d: empty.\n",index);
return;
}
if(top != -1)mp[top] += w;
else mp[sta[1]] += w;
printf("Operation #%d: success.\n",index);
}
void gao4(int x){
if(x < 1 || x > cnt){
printf("Operation #%d: out of range.\n",index);
return;
}
int tmp = sta[x];
for(int i = x;i > 1;i--)sta[i] = sta[i-1];
sta[1] = tmp;
printf("Operation #%d: success.\n",index);
}
void gao5(){
if(cnt == 0){
printf("Operation #%d: empty.\n",index);
return;
}
int id = 1;
for(int i = 1;i <= cnt;i++)
if(sta[i] > sta[id])
id = i;
gao4(id);
}
void gao6(int u){
for(int i = 1;i <= cnt;i++)
if(sta[i] == u){
gao4(i);
return;
}
printf("Operation #%d: invalid priority.\n",index);
}
void gao7(int u){
for(int i = 1;i <= cnt;i++)
if(sta[i] == u){
top = u;
printf("Operation #%d: success.\n",index);
return;
}
printf("Operation #%d: invalid priority.\n",index);
}
void gao8(){
if(top != -1){
top = -1;
printf("Operation #%d: success.\n",index);
}
else printf("Operation #%d: no such person.\n",index);
}
int main()
{
int T;
int n;
scanf("%d",&T);
while(T--){
scanf("%d",&n);
cnt = 0;
top = -1;
mp.clear();
char op[20];
int u;
for(index = 1;index <= n;index++){
scanf("%s",op);
if(strcmp(op,"Add") == 0){
scanf("%d",&u);
gao1(u);
}
else if(strcmp(op,"Close") == 0){
scanf("%d",&u);
gao2(u);
}
else if(strcmp(op,"Chat") == 0){
scanf("%d",&u);
gao3(u);
}
else if(strcmp(op,"Rotate") == 0){
scanf("%d",&u);
gao4(u);
}
else if(strcmp(op,"Prior") == 0){
gao5();
}
else if(strcmp(op,"Choose") == 0){
scanf("%d",&u);
gao6(u);
}
else if(strcmp(op,"Top") == 0){
scanf("%d",&u);
gao7(u);
}
else gao8();
}
if(top != -1 && mp[top])
printf("Bye %d: %I64d\n",top,mp[top]);
for(int i = 1;i <= cnt;i++)
if(sta[i] != top && mp[sta[i]])
printf("Bye %d: %I64d\n",sta[i],mp[sta[i]]);
}
return 0;
}

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#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
using namespace std;
const int MAXN = 100000;
int prime[MAXN+1];
void getPrime(){
memset(prime,0,sizeof(prime));
for(int i = 2;i <= MAXN;i++){
if(!prime[i])prime[++prime[0]] = i;
for(int j = 1;j <= prime[0] && prime[j] <= MAXN/i;j++){
prime[prime[j]*i] = 1;
if(i%prime[j] == 0)break;
}
}
}
int factor[100][2];
int fatCnt;
inline int getFactor(int x){
fatCnt = 0;
for(int i = 1;prime[i] <= x/prime[i];i++)
if(x%prime[i] == 0){
factor[fatCnt][0] = prime[i];
factor[fatCnt][1] = 0;
while(x%prime[i] == 0){
factor[fatCnt][1]++;
x /= prime[i];
}
fatCnt++;
}
if(x != 1){
factor[fatCnt][0] = x;
factor[fatCnt++][1] = 1;
}
return fatCnt;
}
int a[100010];
int num[100010];
int two[20];
int main()
{
int T;
int n;
scanf("%d",&T);
two[0] = 1;
for(int i = 1;i < 20;i++)
two[i] = two[i-1]<<1;
getPrime();
while(T--){
scanf("%d",&n);
memset(num,0,sizeof(num));
for(int i = 0;i < n;i++){
scanf("%d",&a[i]);
getFactor(a[i]);
for(int j = 0;j < two[fatCnt];j++){
int tmp = 1;
for(int k = 0;k < fatCnt;k++)
if(j&two[k]){
tmp *= factor[k][0];
}
num[tmp]++;
}
}
long long ret = 0;
for(int i = 0;i < n;i++){
getFactor(a[i]);
int cc = 0;
for(int j = 0;j < two[fatCnt];j++){
int tmp = 1;
int cnt = 0;
for(int k = 0;k < fatCnt;k++)
if(j&two[k]){
cnt++;
tmp *= factor[k][0];
}
if(cnt&1)cc -= num[tmp];
else cc += num[tmp];
}
if(a[i] == 1)cc--;
ret += (long long)cc*(n-1-cc);
}
long long tot = (long long)n*(n-1)*(n-2)/6;
printf("%I64d\n",tot-ret/2);
}
return 0;
}

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#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
using namespace std;
double x[50010];
int main()
{
int T;
int n,k;
scanf("%d",&T);
while(T--){
scanf("%d%d",&n,&k);
for(int i = 0;i < n;i++)
scanf("%lf",&x[i]);
sort(x,x+n);
if(n == k){
printf("0\n");
continue;
}
int cnt = n-k;
double sum = 0;
double sum2 = 0;
for(int i = 0;i < cnt;i++){
sum += x[i];
sum2 += x[i]*x[i];
}
double ans = sum2 - 2*sum*(sum/cnt) + cnt*(sum/cnt)*(sum/cnt);
for(int i = cnt;i < n;i++){
sum += x[i];
sum2 += x[i]*x[i];
sum -= x[i-cnt];
sum2 -= x[i-cnt]*x[i-cnt];
ans = min(ans,sum2-2*sum*(sum/cnt)+cnt*(sum/cnt)*(sum/cnt));
}
printf("%.10lf\n",ans);
}
return 0;
}

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#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
using namespace std;
int a[100][100];
int dp[110][55];
int b[110];
int main()
{
int T;
int n,m;
scanf("%d",&T);
while(T--){
scanf("%d%d",&n,&m);
for(int i = 1;i <= m;i++)
for(int j = 1;j <= m;j++)
scanf("%d",&a[i][j]);
memset(dp,-1,sizeof(dp));
for(int i = 1;i <= n;i++)scanf("%d",&b[i]);
for(int i = 1;i <= m;i++)
dp[1][i] = 0;
int ans = -1;
for(int i = 1;i <= n;i++){
for(int j = 1;j <= m;j++){
if(b[i] > 0 && j != b[i])
dp[i][j] = -1;
if(dp[i][j] == -1)continue;
if(i == n){
ans = max(ans,dp[i][j]);
continue;
}
for(int k = 1;k <= m;k++)
dp[i+1][k] = max(dp[i+1][k],dp[i][j]+a[j][k]);
}
}
printf("%d\n",ans);
}
return 0;
}

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#include<cstdio>
#include<iostream>
#include<cstring>
#include<string>
#include<algorithm>
#include<map>
#include<set>
#include<vector>
#include<queue>
#include<cstdlib>
#include<ctime>
#include<cmath>
#include<bitset>
using namespace std;
#define N 300
#define inf 50000000
int T, S, n, m, tot, cas, ans;
int head[N * 2], f[N], g[N], Less[N], Lid[N], More[N], Mid[N], dis[N * 2], qu[N
* 2];
struct edge {
int v, w, next;
} ed[N * N * 100];
int cut(int x) {
int i;
for (i = 0; x; x -= (x & (-x)), i++)
;
return i;
}
void add(int u, int v, int w) {
ed[tot].v = v;
ed[tot].w = w;
ed[tot].next = head[u];
head[u] = tot++;
ed[tot].v = u;
ed[tot].w = 0;
ed[tot].next = head[v];
head[v] = tot++;
}
bool bfs() {
int l, r, u, v, i;
memset(dis, -1, sizeof(dis));
dis[S] = 0;
qu[0] = S;
l = 0;
r = 1;
while (l < r) {
u = qu[l++];
for (i = head[u]; ~i; i = ed[i].next) {
v = ed[i].v;
if (dis[v] < 0 && ed[i].w > 0) {
dis[v] = dis[u] + 1;
if (v == T)
return true;
qu[r++] = v;
}
}
}
return false;
}
int dfs(int u, int nowflow) {
if (u == T)
return nowflow;
int i, v, tmp, res = 0;
for (i = head[u]; ~i; i = ed[i].next) {
v = ed[i].v;
if (dis[v] == dis[u] + 1 && ed[i].w > 0) {
tmp = dfs(v, min(nowflow, ed[i].w));
nowflow -= tmp;
ed[i].w -= tmp;
ed[i ^ 1].w += tmp;
res += tmp;
if (!nowflow)
break;
}
}
if (!nowflow)
dis[u] = -1;
return res;
}
int main() {
scanf("%d", &cas);
while (cas--) {
scanf("%d%d", &n, &m);
n = 1 << n;
m = 1 << m;
tot = 0;
memset(head, -1, sizeof(head));
ans = 0;
memset(Less, -1, sizeof(Less));
memset(More, -1, sizeof(More));
S = 0;
T = n * 2 + 1;
for (int i = 0; i < n; i++)
scanf("%d", &f[i]);
for (int i = 0; i < n; i++)
scanf("%d", &g[i]);
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
int k;
scanf("%d", &k);
k += 1024;
if (j < f[i]) {
if (Less[i] < k) {
Less[i] = k;
Lid[i] = j;
}
} else {
if (More[i] < k) {
More[i] = k;
Mid[i] = j;
}
}
}
}
for (int i = 0; i < n; i++) {
int aa = cut(i);
if (aa & 1) {
add(S, i + 1, Less[i]);
add(i + 1 + n, T, More[i]);
} else {
add(S, i + 1, More[i]);
add(i + 1 + n, T, Less[i]);
}
add(i + 1, i + 1 + n, inf);
for (int j = i + 1; j < n; j++) {
if (cut(i ^ j) == 1) {
if (aa & 1)
add(i + 1, j + 1 + n, g[i] ^ g[j]);
else
add(j + 1, i + 1 + n, g[i] ^ g[j]);
}
}
}
while (bfs())
ans += dfs(S, inf);
for (int i = 0; i < n; i++) {
if (i)
printf(" ");
int aa = cut(i);
if (aa & 1) {
if (dis[i + 1] != -1)
printf("%d", Lid[i]);
else
printf("%d", Mid[i]);
} else {
if (dis[i + 1] != -1)
printf("%d", Mid[i]);
else
printf("%d", Lid[i]);
}
}
printf("\n");
}
return 0;
}

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#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int ans[300] = {1, 5, 6, 3, 6, 3, 7, 4, 7, 8, 4, 5, 4, 5, 4, 1, 6, 3, 7, 4, 7, 4, 9, 7, 8, 8, 7, 5, 7, 5, 7, 4, 7, 8, 4, 5, 8, 8, 7, 5, 8, 9, 5, 6, 8, 8, 5, 5, 4, 5, 4, 1, 7, 5, 7, 4, 8, 8, 5, 5, 5, 7, 6, 4, 7, 8, 8, 8, 4, 5, 7, 5, 8, 9, 8, 8, 5, 6, 5, 5, 4, 5, 7, 5, 4, 1, 7, 4, 8, 8, 5, 7, 5, 5, 6, 4, 8, 9, 8, 8, 8, 8, 5, 7, 11, 9, 8, 9, 8, 9, 8, 8, 5, 6, 5, 5, 5, 5, 6, 4, 8, 9, 8, 8, 8, 8, 8, 7, 8, 9, 9, 9, 9, 9, 10, 9, 5, 7, 6, 6, 6, 6, 7, 6, 9, 9, 10, 9, 10, 9, 10, 10, 7, 6, 7, 7, 7, 7, 9, 7, 5, 7, 6, 6, 7, 6, 7, 7, 5, 6, 2, 3, 6, 6, 4, 3, 6, 6, 7, 6, 7, 7, 9, 7, 6, 6, 4, 3, 7, 7, 7, 6, 5, 7, 7, 6, 6, 6, 7, 7, 5, 6, 6, 6, 2, 3, 4, 3, 6, 6, 7, 7, 7, 6, 9, 7, 6, 6, 7, 7, 4, 3, 7, 6, 5, 6, 6, 6, 6, 6, 7, 7, 8, 9, 5, 6, 5, 6, 2, 5, 2, 3, 4, 3, 4, 3, 7, 6, 5, 6, 2, 5, 2, 5, 4, 1};
int main () {
int cas;
char p[10];
scanf("%d", &cas);
while (cas--) {
scanf("%s", p);
int ret = 0;
for (int i = 0; i < 8; i++)
ret = ret * 2 + p[i] - '0';
printf("%d\n", ans[ret]);
}
return 0;
}

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#include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
using namespace std;
struct Node{
double t,x,y;
void input(){
scanf("%lf%lf%lf",&t,&x,&y);
}
double calc(Node b){
return hypot(x-b.x,y-b.y)/(b.t-t);
}
}node[1010];
int main()
{
int T;
int n;
scanf("%d",&T);
while(T--){
scanf("%d",&n);
for(int i = 0;i < n;i++)node[i].input();
double ans = -1.0;
for(int i = 0;i < n-1;i++)
ans = max(ans,node[i].calc(node[i+1]));
printf("%.10lf\n",ans);
}
return 0;
}

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#pragma comment(linker,"/STACK:102400000,102400000")
#include <cctype>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <iostream>
#include <iomanip>
#include <fstream>
#include <string>
#include <algorithm>
#include <bitset>
#include <functional>
#include <numeric>
#include <deque>
#include <list>
#include <map>
#include <queue>
#include <vector>
#include <set>
#include <stack>
#include <iterator>
#include <memory>
#include <utility>
#include <string>
#include <sstream>
using namespace std;
#define X first
#define Y second
#define mp make_pair
#define pb push_back
#define mset(a) memset(a,0,sizeof(a))
#define mmset(a) memset(a,-1,sizeof(a))
#define mcpy(a,b) memcpy(a,b,sizeof(a))
typedef double lf;
typedef long long ll;
typedef unsigned int uint;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef pair<ll,int> pli;
typedef pair<lf,lf> pdd;
typedef pair<int,pii> pip;
typedef pair<pii,int> ppi;
typedef pair<pii,pii> ppp;
typedef vector<int> vi;
typedef vector<pii> vpii;
const int inf=1000000007;
const ll linf=1000000000000000000LL;
const ull ulinf=(1ULL<<63)-10ULL;
const lf eps=0.000000001;
const lf pi=3.14159265358979323846;
template <class T> T abs(T a){return a>=0?a:-a;}
template <class T> int sign(T a){return a>eps?1:a<-eps?-1:0;}
template <class T> T sqr(T a){return a*a;}
template <class T> T gcd(T a,T b){return b?gcd(b,a%b):a;}
template <class T> T mod(T a,T b){T ret=a%b;if(ret<0)ret+=b;return ret;}
template <class T> T lowbit(T x){return x&-x;}
ll addmod(ll a,ll b,ll c){return ((a+b)%c+c)%c;}
ll mulmod(ll a,ll b,ll c){if(b==0LL)return 0LL;ll ret=mulmod(a,b>>1,c);ret=(ret+ret)%c;if(b&1LL)ret=(ret+a)%c;return ret;}
ll powmod(ll a,ll b,ll c){if(b==0LL)return 1LL;ll ret=powmod(a,b>>1,c);ret=ret*ret%c;if(b&1LL)ret=ret*a%c;return ret;}
ll modinv(ll a,ll b){return powmod(a,b-2LL,b);}
template <class T> void maxe(T &a,T b){if(a<b)a=b;}
template <class T> void mine(T &a,T b){if(a>b)a=b;}
int iszero(lf a){return a<=eps&&a>=-eps;}
template <class T> void geti(T &a){a=0;T b=1;char c=getchar();if(c=='-')b=-1;else a=c-48;while((c=getchar())!=' '&&c!='\n')a=a*10+c-48;a*=b;}
#define DEBUG(X)
const int N=11;
const int M=111111;
const int K=33;
const ll md=inf;
int test;
int n,m,k,ans;
int cnt;
char s[N];
int a[N];
int flag[N];
int dp[N][M];
int powsz[N];
int aa[N];
int main()
{
scanf("%d",&test);
for(int tc=1;tc<=test;tc++)
{
scanf("%d",&n);
m=1;
for(int i=1;i<=n;i++)
{
scanf("%s",s);
a[i]=0;
for(int j=0;j<n;j++)
if(s[j]=='o')
m=m*2%md;
else
a[i]|=1<<j;
}
aa[0]=1;
aa[1]=(m-1+md)%md;
for(int sz=2;sz<=n;sz++)
{
int cntst=1;
powsz[0]=1;
k=n+1-sz;
for(int i=1;i<=k;i++)
powsz[i]=cntst*=sz;
dp[0][0]=1;
for(int st=1;st<cntst;st++)
dp[0][st]=0;
for(int i=1;i<=n;i++)
{
for(int st=0;st<cntst;st++)
dp[i][st]=0;
for(int cur=0;cur<(1<<n);cur++)
{
if(cur&a[i])
continue;
for(int j=0;j<k;j++)
flag[j]=0;
for(int bit=0;bit<n;bit++)
{
if(cur&(1<<bit))
continue;
for(int j=0;j<k;j++)
if(bit>=j&&bit<j+sz)
flag[j]=1;
}
for(int st=0;st<cntst;st++)
{
if(!dp[i-1][st])
continue;
int newst=0;
for(int j=0;j<k;j++)
{
int t=st/powsz[j]%sz;
if(flag[j])
t=0;
else if(t!=sz-1)
t++;
else
{
newst=-1;
break;
}
newst+=t*powsz[j];
}
if(newst==-1)
continue;
dp[i][newst]=(dp[i][newst]+dp[i-1][st])%md;
}
}
}
aa[sz]=0;
for(int st=0;st<cntst;st++)
aa[sz]=(aa[sz]+dp[n][st])%md;
aa[sz]=(m-aa[sz]+md)%md;
aa[sz-1]=(aa[sz-1]-aa[sz]+md)%md;
}
for(int sz=0;sz<=n;sz++)
printf("%d\n",aa[sz]);
}
return 0;
}

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#include<stdio.h>
#include<iostream>
#include<string.h>
#include<math.h>
#include<algorithm>
#include<vector>
#include<map>
#include<set>
#include<queue>
#include<string>
#define ll long long
#define db double
#define PB push_back
#define lson k<<1
#define rson k<<1|1
using namespace std;
const int N = 55;
const db eps = 1e-8;
const db PI = acos(-1.0);
const ll MOD = 1000000007;
int n,m,mp[N][N];
bool mk[N];
ll c;
int sgn(db t)
{
return t<-eps?-1:t>eps;
}
ll inv(ll t)
{
ll res=1,k=MOD-2;
while(k)
{
if(k&1) res=(res*t)%MOD;
t=(t*t)%MOD;
k>>=1;
}
return res;
}
struct E
{
int a,b;
void input()
{
scanf("%d%d",&a,&b);
}
} ed[N*N];
struct P
{
db x,y;
int id;
void input()
{
int _x,_y;
scanf("%d%d",&_x,&_y);
x=_x,y=_y;
}
P(db _x=0,db _y=0):x(_x),y(_y){}
P rot(db thta)
{
return P(x*cos(thta)-y*sin(thta),
x*sin(thta)+y*cos(thta));
}
P rotByP(P center,db thta)
{
P tmp(x-center.x,y-center.y);
P ans=tmp.rot(thta);
ans=ans+center;
return ans;
}
P operator + (const P &t) const
{
return P(x+t.x,y+t.y);
}
bool operator == (const P &t) const
{
return sgn(x-t.x)==0&&sgn(y-t.y)==0;
}
}p[N],pb,np[N];
int pt[N];
ll g,ans;
bool check()
{
for(int i=0;i<m;i++)
{
int a=ed[i].a,b=ed[i].b;
a=pt[a],b=pt[b];
if(mp[a][b]&&mp[b][a]){}
else return false;
}
return true;
}
bool fl[N];
int find_t()
{
memset(fl,false,sizeof(fl));
int res=0;
for(int i=0;i<n;i++)
{
if(!fl[i])
{
res++;
}
int t=i;
while(!fl[t]) fl[t]=true,t=pt[t];
}
return res;
}
void dfs(int k)
{
if(k==n)
{
if(check())
{
int t=find_t();
g++;
ll res=1;
for(int i=0;i<t;i++) res=res*c%MOD;
ans=(ans+res)%MOD;
}
}else
{
for(int i=0;i<n;i++)
if(!mk[i]&&np[k]==p[i])
{
mk[i]=true;
pt[k]=i;
dfs(k+1);
mk[i]=false;
}
}
}
int main()
{
int T;
scanf("%d",&T);
while(T--)
{
scanf("%d%d%I64d",&n,&m,&c);
pb.x=pb.y=0.0;
for(int i=0;i<n;i++)
{
p[i].input();
p[i].id=i;
pb.x+=p[i].x,pb.y+=p[i].y;
}
pb.x/=(db)n,pb.y/=(db)n;
memset(mp,0,sizeof(mp));
for(int i=0;i<m;i++)
{
ed[i].input();
ed[i].a--,ed[i].b--;
mp[ed[i].a][ed[i].b]=mp[ed[i].b][ed[i].a]=1;
}
ans=0,g=0;
memset(mk,false,sizeof(mk));
for(int i=0;i<4;i++)
{
for(int j=0;j<n;j++)
np[j]=p[j].rotByP(pb,i*PI/2.0);
dfs(0);
}
printf("%I64d\n",ans*inv(g)%MOD);
}
return 0;
}

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#include <iostream>
#include <algorithm>
#include <cstdio>
#include <cstring>
using namespace std;
char ans[500], s[500];
char pattern[] = "_small_";
int main ( )
{
while ( ~scanf ( "%s" , s ) )
{
int i = 0;
while ( s[i] )
if ( s[i++] == '_' ) break;
int j = 0;
while ( s[i] )
ans[j++] = s[i++];
i = 0;
while ( pattern[i] )
ans[j++] = pattern[i++];
i = 0;
scanf ( "%s" , s);
while ( s[i] )
if ( s[i++] == '_' ) break;
while ( s[i] )
ans[j++] = s[i++];
ans[j] = 0;
printf ( "%s\n" , ans );
}
}

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#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>
#include <string>
#include <map>
#include <stack>
#include <vector>
#include <set>
#include <queue>
#pragma comment (linker,"/STACK:102400000,102400000")
#define maxn 1005
#define MAXN 2005
#define mod 1000000009
#define INF 0x3f3f3f3f
#define pi acos(-1.0)
#define eps 1e-6
typedef long long ll;
using namespace std;
char ope[6][5]={{"ADD"},{"SUB"},{"DIV"},{"MUL"},{"MOVE"},{"SET"}};
char code[6][7]={{"000001"},{"000010"},{"000011"},{"000100"},{"000101"},{"000110"}};
char co[31][6]={ {"00001"} , {"00010"} , {"00011"} , {"00100"} , {"00101"} , {"00110"} , {"00111"} , {"01000"} , {"01001"} , {"01010"}
, {"01011"} , {"01100"} , {"01101"} , {"01110"} , {"01111"} , {"10000"} , {"10001"} , {"10010"} , {"10011"} , {"10100"}
, {"10101"} , {"10110"} , {"10111"} , {"11000"} , {"11001"} , {"11010"} , {"11011"} , {"11100"} , {"11101"} , {"11110"}
, {"11111"}};
char s1[5],s2[10];
int OP(char str[])
{
for (int i=0;i<6;i++)
{
if (strcmp(str,ope[i])==0)
return i;
}
}
int main()
{
int n;
while (~scanf("%d",&n))
{
if (n==1)
{
scanf("%s%s",s1,s2);
int x=OP(s1);
int dd=x;
printf("%s",code[x]);
x=s2[1]-'0';
int ok=0;
if (isdigit(s2[2]))
{
ok=1;
x=x*10;
x=x+s2[2]-'0';
}
x--;
printf("%s",co[x]);
if (dd==5)
{
printf("00000\n");
continue;
}
if (ok)
{
x=s2[5]-'0';
if (isdigit(s2[6]))
{
x=x*10;
x=x+s2[6]-'0';
}
}
else
{
x=s2[4]-'0';
if (isdigit(s2[5]))
{
x=x*10;
x=x+s2[5]-'0';
}
}
x--;
printf("%s\n",co[x]);
}
else if (n==0)
{
scanf("%s",s1);
int len=strlen(s1);
int t=1;
int sum=0;
for (int i=5;i>=0;i--)
{
int x=s1[i]-'0';
sum+=t*x;
t=t*2;
}
if (sum>6||sum==0)
{
printf("Error!\n");
continue;
}
sum--;
int o=sum;
int flag=sum;
t=1;
sum=0;
for (int i=10;i>=6;i--)
{
int x=s1[i]-'0';
sum+=t*x;
t=t*2;
}
if (sum>31||sum==0)
{
printf("Error!\n");
continue;
}
int aa=sum;
if (flag==5)
{
t=1;
sum=0;
for (int i=15;i>=11;i--)
{
int x=s1[i]-'0';
sum+=t*x;
t=t*2;
}
if (sum==0)
{
printf("%s",ope[o]);
printf(" R%d",aa);
printf("\n");
continue;
}
else
{
printf("Error!\n");
continue;
}
}
t=1;
sum=0;
for (int i=15;i>=11;i--)
{
int x=s1[i]-'0';
sum+=t*x;
t=t*2;
}
if (sum>31||sum==0)
{
printf("Error!\n");
continue;
}
printf("%s",ope[o]);
printf(" R%d",aa);
printf(",R%d\n",sum);
}
}
return 0;
}

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#include <iostream>
#include <cstring>
#include <cstdio>
#include <algorithm>
using namespace std;
__int64 dp[2200][2200];
__int64 num[2200];
bool mark[2200][2200];
int N, Q;
int main(){
while( scanf( "%d", &N ) != EOF ){
for( int i = 0; i <= 2 * N - 2; i++ ){
scanf( "%I64d", &num[i] );
}
memset( mark, false, sizeof( mark ) );
for( int i = 0; i <= N - 1; i++ ){
for( int j = 2 * N - 2; j >= N - 1; j-- ){
if( mark[i][j] ) continue;
__int64 sum = 0;
int t1 = i, t2 = j, t3 = N;
while( t3-- ){
sum += num[t1++] * num[t2--];
}
dp[i][j] = sum;
mark[i][j] = true;
t1 = i + 1, t2 = j - 1;
while( t1 <= N - 1 && t2 >= N - 1 ){
sum = sum - num[t1-1] * num[t2+1] + num[t1+N-1] * num[t2-N+1];
dp[t1][t2] = sum;
mark[t1][t2] = true;
t1++, t2--;
}
}
}
scanf( "%d", &Q );
__int64 ans = 0, ans1 = 0;
int r, c;
while( Q-- ){
scanf( "%d%d", &r, &c );
ans1 = dp[N-1-(r+ans1)%N][N-1+(c+ans1)%N];
ans += ans1;
}
printf( "%I64d\n", ans );
}
return 0;
}

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#include<iostream>
#include<cstdio>
#include<string.h>
#define MAX 10000007
#define LL __int64
using namespace std;
int n;
LL a[MAX];
int main()
{
LL t,m,i,j,sum,xx=1000000007;
scanf("%I64d",&t);
while(t--)
{
scanf("%I64d",&n);
for(j=1; j<=n; j++)
{
scanf("%I64d",&a[j]);
}
a[0] = 0;
for(j=1;j<=n;j++)
{
a[j] = a[j]*j+a[j-1];
a[j] = a[j]%xx;
}
sum = 0;
for(j=1;j<=n;j++)
{
sum = sum+a[j];
sum = sum%xx;
}
printf("%I64d\n",sum);
}
return 0;
}

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#include <cstdio>
#include <algorithm>
using namespace std;
const int N = 1005;
int n, a[N];
int d[N], c[N], cas, ans;
int main()
{
scanf("%d", &cas);
while (cas--)
{
scanf("%d", &n);
int sum = ans = 0;
for (int i = 1; i <= n; ++i)
{
scanf("%d", &a[i]);
d[i] = 1, c[i] = 1;
for (int j = 1; j < i; ++j)
{
if (a[j] >= a[i]) continue;
if (d[j] + 1 > d[i])
{
d[i] = d[j] + 1;
c[i] = c[j];
}
else if (d[j] + 1 == d[i]) c[i] = 2;
}
if(d[i] > ans) ans = d[i];
}
for (int i = 1; i <= n; ++i)
if (d[i] == ans) sum += c[i];
printf("%d\n", sum > 1 ? ans : ans - 1);
}
return 0;
}

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#include<iostream>
#include<cstdio>
#include<cstring>
#include<string>
#include<algorithm>
#include<map>
#include<queue>
#include<stack>
#include<set>
#include<cmath>
#include<vector>
#include<bitset>
#define inf 0x3f3f3f3f
#define Inf 0x3FFFFFFFFFFFFFFFLL
#define eps 1e-6
#define pi acos(-1.0)
using namespace std;
typedef long long ll;
const int maxn = 1000 + 10;
ll a[maxn];
int main()
{
int t;
scanf("%d",&t);
while(t--)
{
int n;
scanf("%d",&n);
for(int i = 0;i < n;++i)
scanf("%I64d",&a[i]);
if(n > 40)
{
puts("Yes");
continue;
}
int x = 0;
for(ll i = 0;i < 40;++i)
{
int p = -1;
for(ll j = x;j < n;++j)
{
if((a[j]>>i) & 1)
{
p = j;
break;
}
}
if(p == -1) continue;
swap(a[x],a[p]);
for(int j = x + 1;j < n;++j)
if((a[j]>>i) & 1)
a[j] ^= a[x];
x++;
}
int cnt = 0;
for(int i = 0;i < n;++i)
if(a[i]) cnt++;
if(cnt < n)
puts("Yes");
else
puts("No");
}
return 0;
}

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#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <cstring>
#include <string>
#include <queue>
#include <map>
#include <iostream>
#include <algorithm>
using namespace std;
#define RD(x) scanf("%d",&x)
#define RD2(x,y) scanf("%d%d",&x,&y)
#define RD3(x,y,z) scanf("%d%d%d",&x,&y,&z)
#define clr0(x) memset(x,0,sizeof(x))
#define clr1(x) memset(x,-1,sizeof(x))
#define eps 1e-9
const double pi = acos(-1.0);
typedef long long LL;
typedef unsigned long long ULL;
const int modo = 1e9 + 7;
const int INF = 0x3f3f3f3f;
const int inf = 0x3fffffff;
const LL _inf = 1e18;
const int maxn = 55,maxm = 1<<12;
int n,k;
bool vis[maxn];
double p[maxn];
int pos[maxn],s[maxn];
int main()
{
int _,_g;RD(_);
while(_--){
RD2(n,k);
clr0(vis);
for(int i = 0;i < n;++i){
RD(s[i]);
p[i] = ((double)s[i])/100.0;
}
double mx = 0;
for(int g = 0;g <= k;++g){//╁g涓k - g涓
double _p,res = 0;
int cnt = 0;
for(int i = 0;i < g;++i)
pos[cnt++] = i;
for(int i = 1;i <= k - g;++i)
pos[cnt++] = n - i;
for(int i = 0;i < cnt;++i){
_p = 1;
for(int j = 0;j < cnt;++j){
if(j != i)
_p *= p[pos[j]];
else
_p *= (1 - p[pos[j]]);
}
res += _p;
}
if(mx - res < eps){
mx = res;
_g = g;
}
}
for(int i = 0;i < _g;++i)
vis[i] = 1;
for(int i = n - (k - _g);i < n;++i){
for(int j = i;j >= 0;--j){
if(vis[j] || s[j] > s[i])
break;
_g = j;
}
vis[_g] = 1;
}
_g = 1;
for(int i = 0;i < n;++i)
if(vis[i])
printf("%d%c",i+1," \n"[_g == k]),_g++;
}
return 0;
}

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#include <iostream>
#include <cstdio>
#include <cstring>
using namespace std;
const int maxn = 110 ;
bool con[maxn][maxn],vis[maxn];
int match[maxn],n,k,x;
void initial()
{
memset(con,0,sizeof(con));
memset(match,-1,sizeof(match));
}
void input()
{
scanf("%d %d",&n,&k);
for(int i=1;i<=n;i++)
{
scanf("%d",&x);
while(x<=n)
{
con[x][i]=1;
x+=k;
}
}
}
bool dfs(int x)
{
for(int i=1;i<=n;i++)
{
if(!vis[i] && con[x][i])
{
vis[i]=1;
if(match[i]==-1 || dfs(match[i]))
{
match[i]=x;
return true;
}
}
}
return false;
}
void solve()
{
int cnt=0;
for(int i=1;i<=n;i++)
{
memset(vis,0,sizeof(vis));
if(dfs(i)) cnt++;
}
if(cnt==n) printf("Jerry\n");
else printf("Tom\n");
}
int main()
{
int T;
scanf("%d",&T);
while(T--)
{
initial();
input();
solve();
}
return 0;
}

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#include<iostream>
#include<algorithm>
#include<cstring>
#include<string>
#include<stdio.h>
#include<math.h>
#define N 20000
#define inf 0x7ffffff
#define eps 1e-9
#define pi acos(-1.0)
using namespace std;
struct node
{
int x,y,flag;
}s[2*N+5];
bool cmp(node a,node b)
{
if(a.x != b.x) return a.x < b.x;
return a.flag > b.flag;
}
struct tree
{
int l,r,flag,maxx;
}tree[4*2*N];
void build(int o,int l,int r)
{
tree[o].l = l;
tree[o].r = r;
tree[o].maxx = tree[o].flag = 0;
if(l == r) return ;
int m = (l+r)/2;
build(2*o,l,m);
build(2*o+1,m+1,r);
}
void pushup(int o)
{
tree[o].maxx = max(tree[2*o].maxx, tree[2*o+1].maxx );
}
void pushdown(int o)
{
if(tree[o].flag != 0)
{
tree[2*o].flag += tree[o].flag;
tree[2*o+1].flag += tree[o].flag;
tree[2*o].maxx += tree[o].flag;
tree[2*o+1].maxx += tree[o].flag;
tree[o].flag = 0;
}
}
void update(int o,int x,int y,int v)
{
if(x <= tree[o].l && tree[o].r <= y)
{
tree[o].flag += v;
tree[o].maxx += v;
return;
}
pushdown(o);
int m = (tree[o].l + tree[o].r)/2;
if(x <= m) update(2*o,x,y,v);
if(y > m) update(2*o+1,x,y,v);
pushup(o);
}
int main()
{
int n,w,h;
while(scanf("%d",&n))
{
if(n < 0) break;
scanf("%d%d",&w,&h);
int i;
for(i = 0; i < n; i++)
{
int x,y;
scanf("%d%d",&x,&y);
x += N;
y += N;
s[2*i].x = x;
s[2*i].y = y;
s[2*i].flag = 1;
s[2*i+1].x = x+w;
s[2*i+1].y = y;
s[2*i+1].flag = -1;
}
sort(s,s+2*n,cmp);
build(1,1,2*N+1);
int ans = 0;
for(i = 0; i < 2*n; i++)
{
update(1,s[i].y, s[i].y+h ,s[i].flag);
ans = max(ans,tree[1].maxx);
}
printf("%d\n",ans);
}
return 0;
}

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#include "stdio.h"
#include "string.h"
int inf=0x3f3f3f3f;
struct node
{
int x,y;
}dp[110][110];
int main()
{
int Case,ii,i,j,n,m,ans;
int a[110][110];
scanf("%d",&Case);
for (ii=1;ii<=Case;ii++)
{
scanf("%d%d",&n,&m);
for (i=1;i<=n;i++)
for (j=1;j<=m;j++)
scanf("%d",&a[i][j]);
memset(dp,inf,sizeof(dp));
for (i=1;i<=m;i++)
dp[n][i].x=a[n][i];
for (i=n-1;i>=1;i--)
for (j=1;j<=m;j++)
{
dp[i][j].x=dp[i+1][j].x+a[i][j];
dp[i][j].y=j;
if (j-1>=1 && dp[i+1][j-1].x+a[i][j]<dp[i][j].x)
{
dp[i][j].x=dp[i+1][j-1].x+a[i][j];
dp[i][j].y=j-1;
}
if (j+1<=m && dp[i+1][j+1].x+a[i][j]<=dp[i][j].x)
{
dp[i][j].x=dp[i+1][j+1].x+a[i][j];
dp[i][j].y=j+1;
}
}
ans=inf;
for (i=1;i<=m;i++)
if (dp[1][i].x<=ans)
{
ans=dp[1][i].x;
j=i;
}
printf("Case %d\n",ii);
printf("%d",j);
for (i=1;i<n;i++)
{
j=dp[i][j].y;
printf(" %d",j);
}
printf("\n");
}
return 0;
}

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#include <iostream>
#include <cstdio>
#include <queue>
#include <cstring>
#include <algorithm>
using namespace std;
struct node{
int s,t,nxt ;
}e[2500005] ;
int m,n,head[5005],cnt,match[5005],vis[5005] ;
int find(int s)
{
for(int i=head[s] ;i!=-1 ;i=e[i].nxt)
{
int tt=e[i].t ;
if(!vis[tt])
{
vis[tt]=1 ;
if(match[tt]==-1 || find(match[tt]))
{
match[tt]=s ;
return 1 ;
}
}
}
return 0 ;
}
int cr,cc;
int max_match()
{
int ans=0 ;
memset(match,-1,sizeof(match)) ;
for(int i=1 ;i<cr ;i++)
{
memset(vis,0,sizeof(vis)) ;
ans+=find(i);
}
return ans;
}
void add(int s,int t) {e[cnt].s=s ;e[cnt].t=t ;e[cnt].nxt=head[s] ;head[s]=cnt++ ;}
char M[55][55];
int mpr[55][55],mpc[55][55];
void read_graph()
{
memset(head,-1,sizeof(head)) ;
cnt=0 ;
for(int i=0;i<n;i++)
for(int j=0;j<m;j++)
if(M[i][j]=='*')
add(mpr[i][j],mpc[i][j]+cr);
}
int main(){
int T;
scanf("%d",&T);
for(int cas=1;cas<=T;cas++){
scanf("%d%d",&n,&m);
for(int i=0;i<n;i++){
scanf("%s",M[i]);
}
memset(mpr,-1,sizeof(mpr));
memset(mpc,-1,sizeof(mpc));
cr=cc=1;
for(int i=0;i<n;i++){
for(int j=0;j<m;j++){
if(M[i][j]=='*' && mpr[i][j]==-1){
for(int k=j;(M[i][k]=='*' || M[i][k]=='o') && k<m;k++)
mpr[i][k]=cr;
cr++;
}
if(M[j][i]=='*' && mpc[j][i]==-1){
for(int k=j;(M[k][i]=='*' || M[k][i]=='o') && k<n;k++)
mpc[k][i]=cc;
cc++;
}
}
}
read_graph();
printf("%d\n",max_match());
}
return 0;
}

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#include<cstdio>
#include<cstring>
#include<queue>
using namespace std;
int n, m, p;
int door[51][51][4], map[51][51];
bool vis[51][51][1<<10];
int xl[4]={-1,1,0,0};
int yl[4]={0,0,-1,1};
int getd(int a, int b, int c, int d){
if(a==c){
if(b<d) return 3;
return 2;
}
else{
if(a<c) return 1;
return 0;
}
}
struct Node{
int x, y, st, u;
Node(){}
Node(int x, int y, int st, int u):x(x),y(y),st(st),u(u){}
};
int solve(){
if(n==1 && m==1) return 0;
queue<Node> Q;
Q.push(Node(1,1,map[1][1],0));
while(!Q.empty()){
Node nd = Q.front(); Q.pop();
if(vis[nd.x][nd.y][nd.st]) continue;
vis[nd.x][nd.y][nd.st] = 1;
for(int i=0; i<4; i++){
int a = nd.x+xl[i];
int b = nd.y+yl[i];
if(a<1 || a>n || b<1 || b>m) continue;
if(!door[nd.x][nd.y][i]) continue;
int st = nd.st;
if(door[nd.x][nd.y][i]>0){
int d = 1<<(door[nd.x][nd.y][i]-1);
if(!(st&d)) continue;
}
if(a==n && b==m) return nd.u+1;
st |= map[a][b];
if(!vis[a][b][st]) Q.push(Node(a,b,st,nd.u+1));
}
}
return -1;
}
int main(){
while(~scanf("%d %d %d", &n, &m, &p)){
memset(door, -1, sizeof(door));
memset(map, 0, sizeof(map));
memset(vis, 0, sizeof(vis));
int k;
scanf("%d", &k);
int a, b, c, d, e;
while(k--){
scanf("%d %d %d %d %d", &a, &b, &c, &d, &e);
door[a][b][getd(a,b,c,d)] = e;
door[c][d][getd(c,d,a,b)] = e;
}
scanf("%d", &k);
while(k--){
scanf("%d %d %d", &a, &b, &c);
map[a][b] |= (1<<(c-1));
}
printf("%d\n", solve());
}
return 0;
}

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#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <cstring>
#include <string>
#include <queue>
#include <map>
#include <iostream>
#include <algorithm>
using namespace std;
#define RD(x) scanf("%d",&x)
#define RD2(x,y) scanf("%d%d",&x,&y)
#define RD3(x,y,z) scanf("%d%d%d",&x,&y,&z)
#define clr0(x) memset(x,0,sizeof(x))
#define clr1(x) memset(x,-1,sizeof(x))
#define eps 1e-9
const double pi = acos(-1.0);
typedef long long LL;
typedef unsigned long long ULL;
const int modo = 1e9 + 7;
const int INF = 0x3f3f3f3f;
const int inf = 0x3fffffff;
const LL _inf = 1e18;
const int maxn = 105,maxm = 10005;
int p[maxn],n,k;
char q[maxn] = {'p','q','r','u','v','w','x','y','z','\n'};
char ch[maxn];
void work()
{
for(int i = 0;i < 10;++i){
RD(p[i]);
}
int k = 0;
while(k < 10 && p[k] == 0)k++;
if(k == 10){
puts("0");
return ;
}
if(k == 9){
printf("%d\n",p[9]);
return;
}
if(p[k] == 1)
printf("%c",q[k]);
else if(p[k] == -1)
printf("-%c",q[k]);
else
printf("%d%c",p[k],q[k]);
for(int i = k+1;i < 9;++i){
if(p[i] > 1)
printf("+%d%c",p[i],q[i]);
else if(p[i] < -1)
printf("%d%c",p[i],q[i]);
else if(p[i] == 1)
printf("+%c",q[i]);
else if(p[i] == -1)
printf("-%c",q[i]);
}
if(p[9] == 0)
puts("");
else if(p[9] > 0)
printf("+%d\n",p[9]);
else
printf("%d\n",p[9]);
return;
}
int main()
{
int _;RD(_);
while(_--){
work();
}
return 0;
}

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#include<cstdio>
#include<cstring>
#include<map>
#include<set>
#include<algorithm>
using namespace std;
const int N = 100100;
const int M = 5000;
int n, m, sol_num, tot;
int arr[11][M];
int cnt[N][11];
int sum[11];
bool solve[N][10];
char s1[20], s2[20];
int solved[N];
int pen[N];
int last[N];
struct Team{
int id, ac;
Team(){}
Team(int id, int ac):id(id),ac(ac){}
bool operator < (const Team &A)const{
return ac<A.ac;
}
};
int lowbit(int x){
return x&(-x);
}
void add(int sol, int x, int v){
if(x==0){
arr[sol][x]+=v;
return;
}
for(; x<M; x+=lowbit(x)) arr[sol][x]+=v;
}
int cal(int sol, int x){
if(x<0) return 0;
int res = arr[sol][0];
for(; x>0; x-=lowbit(x)) res += arr[sol][x];
return res;
}
Team t[N];
map<int, set<Team> > MP[11];
set<int> ST;
void init(){
for(int i=1; i<=m; i++){
MP[i].clear();
}
ST.clear();
for(int i=0; i<n; i++){
ST.insert(i);
t[i] = Team(i,-10);
last[i] = -10;
}
tot = 0;
sol_num = 0;
memset(solved, 0, sizeof(solved));
memset(pen, 0, sizeof(pen));
memset(arr, 0, sizeof(arr));
memset(solve, 0, sizeof(solve));
memset(cnt, 0, sizeof(cnt));
memset(sum, 0, sizeof(sum));
}
inline void in(int &x){
char c=getchar();
x = 0;
while(c<48 || c>57) c=getchar();
while(c>=48 && c<=57){
x = x*10+c-48;
c = getchar();
}
}
inline void read(int &x){
char c=getchar();
x = c-'A';
}
void submit(){
int min, id, flag, pro;
in(min);
in(id);
read(pro);
in(flag);
if(min - last[id] < 5 || solve[id][pro]) return;
last[id] = min;
if(flag){
printf("[%d][%c]\n", id, pro+'A');
int sol = solved[id];
int penlty = pen[id];
if(sol){
MP[sol][penlty].erase(t[id]);
add(sol, penlty, -1);
sum[sol]--;
}
else{
sol_num++;
ST.erase(id);
}
sol++;
penlty += min + cnt[id][pro]*20;
solved[id]++;
pen[id] = penlty;
t[id].ac = ++tot;
MP[sol][penlty].insert(t[id]);
add(sol, penlty, 1);
solve[id][pro]=1;
sum[sol]++;
}
else{
cnt[id][pro]++;
}
}
int R(){
int id, res;
in(id);
if(solved[id]==0) return sol_num+1;
res = cal(solved[id], pen[id]-1)+1;
for(int i=solved[id]+1; i<=m; i++) res+=sum[i];
return res;
}
int find(int sol, int rank){
int low=0, top=M, mid;
int ans = M;
while(low<=top){
mid = (low+top)>>1;
int res = cal(sol, mid);
if(res >= rank){
ans = min(ans, mid);
top = mid-1;
}
else{
low = mid+1;
}
}
int tmp = cal(sol, ans-1);
if(tmp + 1 != rank) return -1;
return MP[sol][ans].begin()->id;
}
int T(){
int rank;
in(rank);
if(rank > n) return -1;
if(rank == sol_num+1) return *ST.begin();
if(rank > sol_num) return -1;
int i, res = 0;
for(i=m; i>=0; i--){
res += sum[i];
if(res >= rank) break;
}
res -= sum[i];
return find(i, rank - res);
}
int main(){
while(~scanf("%d %d", &n, &m)){
init();
while(~scanf("%s", s1) && s1[0]!='C'){
if(s1[0]=='S') submit();
else if(s1[0]=='T') printf("%d\n", T());
else printf("%d\n", R());
}
scanf("%s", s1);
puts("");
}
return 0;
}

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#include<cstdio>
#include<cstring>
#include<cmath>
const double alpha = 0.85;
const double eps = 1e-10;
const int N = 3010;
int n;
double mat[N][N], q[2][N];
inline double sqr(double x){
return x*x;
}
bool ok(){
double s = 0.0;
for(int i=0; i<n; i++) s += sqr(q[0][i]-q[1][i]);
return fabs(s)<eps;
}
char s[N];
int main(){
while(~scanf("%d", &n)){
double b = (1.0-alpha)/n;
for(int i=0; i<n; i++){
scanf("%s", s);
int m = 0;
for(int j=0; j<n; j++) m += s[j]-'0';
for(int j=0; j<n; j++){
mat[j][i] = s[j]=='0'?0.0:(1.0/m);
mat[j][i] = mat[j][i]*alpha + b;
}
q[1][i] = 0.0;
q[0][i] = 1.0;
}
bool f = 0;
while(!ok()){
for(int i=0; i<n; i++){
q[f^1][i] = 0.0;
for(int j=0; j<n; j++){
q[f^1][i] += mat[i][j] * q[f][j];
}
}
f^=1;
}
for(int i=0; i<n; i++){
if(i) putchar(' ');
printf("%.2f", q[f][i]);
}
puts("");
}
return 0;
}

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#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <cmath>
#include <vector>
#include <map>
#include <set>
#include <sstream>
#include <string>
#include <stack>
#include <queue>
#include <iostream>
#include <algorithm>
using namespace std;
#define lp (p << 1)
#define rp (p << 1|1)
#define getmid(l,r) (l + (r - l) / 2)
#define MP(a,b) make_pair(a,b)
typedef long long ll;
const int INF = 1 << 30;
const int maxn = 1010;
int n,m,cnt;
int din[maxn],dout[maxn],reb[maxn];
int vis[maxn],first[maxn],nex[maxn * maxn],ver[maxn * maxn],ecnt;
string s,id1,id2;
char name[1500];
map< string,int > mp;
queue<int> q1,q2;
void Add_edge(int u,int v){
nex[++ecnt] = first[u];
ver[ecnt] = v;
first[u] = ecnt;
}
void Init(){
memset(reb,0,sizeof(reb));
memset(vis,0,sizeof(vis));
memset(din,0,sizeof(din));
memset(dout,0,sizeof(dout));
memset(first,-1,sizeof(first));
while(!q1.empty()) q1.pop();
while(!q2.empty()) q2.pop();
ecnt = cnt = 0;
mp.clear();
}
int Topo_count(){
for(int i = 1; i <= cnt; ++i) if(din[i] == 0){
if(reb[i] == 0) q1.push(i);
else q2.push(i);
}
int res = 0;
while(!q1.empty() || !q2.empty()){
if(q1.empty() && !q2.empty()){
++res;
while(!q2.empty()){
int x = q2.front(); q2.pop();
q1.push(x);
}
}
while(!q1.empty()){
int x = q1.front(); q1.pop();
vis[x] = 1;
for(int i = first[x]; i != -1; i = nex[i]){
int v = ver[i];
din[v]--;
if(din[v] == 0){
if(!reb[v]) q1.push(v);
else q2.push(v);
}
}
}
}
return res;
}
int main(){
int a,b,len,flag;
scanf("%d",&n);
getchar();
getchar();
for(int Case = 1; Case <= n; ++Case){
Init();
while(getline(cin,s) != NULL){
if(s[0] == '\0')
break;
istringstream sin(s);
sin >> name;
flag = 0;
int len = strlen(name);
for(int i = 0; i < len; ++i)
if(name[i] == '*') flag = 1;
name[len - 1 - flag] = '\0';
id1 = name;
if(mp.find(id1) == mp.end())
mp[id1]= ++cnt;
reb[mp[id1]] = flag;
while(sin >> id2){
if(mp.find(id2) == mp.end())
mp[id2] = ++cnt;
Add_edge(mp[id2],mp[id1]);
dout[mp[id2]]++;
din[mp[id1]]++;
}
}
printf("Case %d: %d\n",Case,Topo_count());
}
return 0;
}

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#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <cstring>
#include <string>
#include <queue>
#include <map>
#include <iostream>
#include <algorithm>
using namespace std;
#define RD(x) scanf("%d",&x)
#define RD2(x,y) scanf("%d%d",&x,&y)
#define RD3(x,y,z) scanf("%d%d%d",&x,&y,&z)
#define clr0(x) memset(x,0,sizeof(x))
#define clr1(x) memset(x,-1,sizeof(x))
#define eps 1e-9
const double pi = acos(-1.0);
typedef long long LL;
typedef unsigned long long ULL;
const int modo = 1e9 + 7;
const int INF = 0x3f3f3f3f;
const int inf = 0x3fffffff;
const LL _inf = 1e18;
const int maxn = 105,maxm = 10005;
int p[maxn],n,k,cas = 1;
char a[maxn],b[maxn];
void work()
{
scanf("%s%s",a,b);
int n = strlen(a),m = strlen(b);
printf("Case %d: ",cas++);
if(a[0] > b[0])
printf("%c ",'>');
else if(a[0] == b[0])
printf("%c ",'=');
else
printf("%c ",'<');
int _a = (a[3]-'0')*10 + a[4] - '0',_b = (b[3]-'0')*10 + b[4] - '0';
char __a,__b;
if(n == 5)
__a = 'A';
else
__a = a[5];
if(m == 5)
__b = 'A';
else
__b = b[5];
if(a[1] != b[1]){
if(a[2] < b[2] || (a[2] == b[2] && _a < _b))
printf("%c\n",'<');
else if(a[2] > b[2] || (a[2] == b[2] && _a > _b))
printf("%c\n",'>');
else
printf("%c\n",'=');
}else if(a[1] == b[1]){
if(a[2] < b[2] || (a[2] == b[2] && _a < _b) || (a[2] == b[2] && _a == _b && __a < __b))
printf("%c\n",'<');
else if(a[2] > b[2] || (a[2] == b[2] && _a > _b) || (a[2] == b[2] && _a == _b && __a > __b))
printf("%c\n",'>');
else
printf("%c\n",'=');
}
return;
}
int main()
{
int _;RD(_);
while(_--){
work();
}
return 0;
}