67 lines
1.5 KiB
C++
67 lines
1.5 KiB
C++
#include <iostream>
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#include <cstdio>
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#include <cstring>
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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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#include <cstdlib>
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#include <sstream>
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#include <fstream>
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#include <list>
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#include <deque>
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#include <queue>
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#include <stack>
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#include <map>
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#include <set>
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#include <bitset>
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#include <cctype>
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#include <ctime>
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#include <utility>
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#define M0(x) memset(x, 0, sizeof(x))
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#define clr(x,y) memset(x, y, sizeof(x))
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#define P 10567201
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#define N 1010
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using namespace std;
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long long c[1010][1010], two[1010];
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int n, m, v;
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long long f[N+5], inv[N+5];
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using namespace std;
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void get_inv(){
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inv[1] = 1;
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for (int i = 2; i < N; ++i)
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inv[i] = (P - P / i) * inv[P % i] % P;
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}
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void pre_do(){
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get_inv();
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two[0] = 1;
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for (int i = 1; i < N; ++i){
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two[i] = (two[i-1] << 1);
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if (two[i] >= P) two[i] -= P;
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}
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for (int i = 1; i < N; ++i){
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c[i][0] = 1;
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for (int j = 1; j < N; ++j)
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c[i][j] = c[i][j-1] * (two[i]-j+1) % P * inv[j] % P;
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}
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}
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void solve(){
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if (v == 0) f[0] = 1;
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else f[0] = 0;
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f[1] = 1;
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for (int i = 2; i <= m; ++i){
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long long same = f[i-2] * (two[n]-i+2) % P;
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f[i] = (c[n][i-1] - same) * inv[i] % P;
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}
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f[m] += (f[m] < 0 ? P : 0);
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printf("%I64d\n", f[m]);
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}
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int main(){
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pre_do();
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while (scanf("%d%d%d", &n, &m, &v) != EOF){
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if (!(n+m+v)) break;
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solve();
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}
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return 0;
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}
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