#include <cstdio>
#include <unordered_set>
#include <vector>
#include <algorithm>
using namespace std;
typedef long long LL;
const int M = 1000000007;
int madd(int a, int b) {
return (LL(a) + b) % M;
}
int mmul(int a, int b) {
return (LL(a) * b) % M;
}
int main() {
int n, m; scanf("%d %d", &n, &m);
vector<vector<int>> cuttable, non_cuttable;
cuttable.push_back({1});
non_cuttable.push_back({0});
for (int t = 1; t <= n; ++t) {
cuttable.push_back({0});
non_cuttable.push_back({0});
for (int k = 1; k <= t; ++k) {
cuttable.back().push_back(
madd(
mmul(cuttable[t-1][k], k),
mmul(non_cuttable[t-1][k], k))
);
non_cuttable.back().push_back(
madd(
mmul(cuttable[t-1][k-1], max(m-k+1, 0)),
mmul(non_cuttable[t-1][k], max(m-k, 0)))
);
}
/*
printf("cut of len %d: ", t);
for (int i : cuttable.back()) printf("%d ", i);
printf("\n");
printf("not of len %d: ", t);
for (int i : non_cuttable.back()) printf("%d ", i);
printf("\n");
printf("\n");
*/
}
int res = 0;
for (int i=0; i<=n; ++i) {
res = madd(res, cuttable[n][i]);
}
printf("%d\n", res);
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 | #include <cstdio> #include <unordered_set> #include <vector> #include <algorithm> using namespace std; typedef long long LL; const int M = 1000000007; int madd(int a, int b) { return (LL(a) + b) % M; } int mmul(int a, int b) { return (LL(a) * b) % M; } int main() { int n, m; scanf("%d %d", &n, &m); vector<vector<int>> cuttable, non_cuttable; cuttable.push_back({1}); non_cuttable.push_back({0}); for (int t = 1; t <= n; ++t) { cuttable.push_back({0}); non_cuttable.push_back({0}); for (int k = 1; k <= t; ++k) { cuttable.back().push_back( madd( mmul(cuttable[t-1][k], k), mmul(non_cuttable[t-1][k], k)) ); non_cuttable.back().push_back( madd( mmul(cuttable[t-1][k-1], max(m-k+1, 0)), mmul(non_cuttable[t-1][k], max(m-k, 0))) ); } /* printf("cut of len %d: ", t); for (int i : cuttable.back()) printf("%d ", i); printf("\n"); printf("not of len %d: ", t); for (int i : non_cuttable.back()) printf("%d ", i); printf("\n"); printf("\n"); */ } int res = 0; for (int i=0; i<=n; ++i) { res = madd(res, cuttable[n][i]); } printf("%d\n", res); return 0; } |
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