82 lines
1.6 KiB
C++
82 lines
1.6 KiB
C++
#include<cstdio>
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#include<iostream>
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#include<string>
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#include<cmath>
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#include<algorithm>
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#include<vector>
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using namespace std;
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int n, k;
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int x[100005], y[100005];
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vector<int> s1, s2;
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void gao(int *p, vector<int>& V) {
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sort(p, p+n);
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V.clear();
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p[n] = -1;
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int cnt = 1;
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for(int i=0; i<n; i++) {
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if(p[i] != p[i+1]) {
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V.push_back(cnt);
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cnt = 1;
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} else cnt ++;
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}
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for(int i=0; i<V.size(); i++) {
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}
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}
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int ans;
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vector<int> v;
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void dfs(int pi, int ni, int cur) {
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if(pi == k || ni == v.size()) {
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cur += (k - pi) * abs(n);
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if(ans > cur) ans = cur;
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return ;
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}
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int sum = (ni == 0) ? 0 : v[ni-1];
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if(pi == k-1) {
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dfs(pi+1, v.size(), cur+abs(v[v.size()-1] - sum - n));
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return ;
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}
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int id = lower_bound(v.begin(), v.end(), n + sum) - v.begin();
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id --;
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if(ni <= id && id < v.size()) dfs(pi+1, id+1, cur+abs(v[id] - sum - n));
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id ++;
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if(ni <= id && id < v.size()) dfs(pi+1, id+1, cur+abs(v[id] - sum - n));
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}
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int solve(vector<int> V) {
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ans = 1000000;
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v = V;
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for(int i=1; i<v.size(); i++) {
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v[i] += v[i-1];
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}
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for(int i=0; i<v.size(); i++) {
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v[i] *= k;
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}
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dfs(0, 0, 0);
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return ans;
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}
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int gcd(int x, int y) {
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while(x%=y^=x^=y^=x);
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return y;
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}
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int main()
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{
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int kase = 0;
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while(scanf("%d%d", &n, &k) == 2 && n && k) {
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for(int i=0; i<n; i++) {
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scanf("%d%d", &x[i], &y[i]);
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}
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gao(x, s1);
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gao(y, s2);
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int ans = solve(s1);
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ans = min(ans, solve(s2));
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if(ans == 0) {
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printf("%d. 0/1\n", ++kase);
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continue;
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}
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k *= k;
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int g = gcd(ans, k);
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ans /= g; k/= g;
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printf("%d. %d/%d\n", ++kase, ans, k);
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}
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return 0;
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}
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