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- //303595776
- #define TASK "FLOWER"
- #include <bits/stdc++.h>
- #define int long long
- #define ii pair<int, int>
- #define fi first
- #define se second
- #define ENDL "\n"
- using namespace std;
- const int MAX = 55;
- const int MOD = 1e9+7;
- int n, m, k, f[MAX][MAX];
- bool getBit(int x, int k){
- return 1 & (x >> (k-1));
- }
- int Pow(int x, int k){
- if (k==1) return x;
- long long tmp = Pow(x, k/2);
- tmp = (tmp*tmp)% MOD;
- if (k&1) tmp= (tmp*x)%MOD;
- return tmp;
- }
- signed main(int argc, char const *argv[])
- {
- ios_base::sync_with_stdio(0);
- cin.tie(0); cout.tie(0);
- #ifndef ONLINE_JUDGE
- //freopen("input.txt","r",stdin);
- freopen(TASK".INP","r", stdin);
- freopen(TASK".OUT","w", stdout);
- #endif
- cin >> m >> n >> k;
- f[0][0] = 1;
- int MSK = 1 << 4;
- for(int i=1; i<=n; i++){
- for(int mask = 0; mask < MSK; mask++){
- f[i][mask] += f[i-1][mask]* __builtin_popcount(mask);
- f[i][mask]%= MOD;
- for(int j=1; j<=4; j++){
- if (!getBit(mask, j)){
- f[i][mask|(1<<(j-1))] += f[i-1][mask];
- f[i][mask|(1<<(j-1))]%= MOD;
- }
- }
- }
- }
- int res=0;
- for(int i=0; i<MSK; i++){
- if (__builtin_popcount(i)>=k){
- res+= f[n][i];
- res%= MOD;
- }
- }
- cout << Pow(res, m);
- return 0;
- }
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