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using namespace std; int r,c,b,n; int memo[55][55][11]; int df (int red,int kolona,int leftofn){ if(leftofn == 1 && red*kolona >= b){ return 1; } if(memo[red][kolona][leftofn] != -1){ return memo[red][kolona][leftofn]; } int res = 0; int mod = 1e9+7; if(leftofn>1){ for (int i = 1; i < red; i++) { if(i*kolona>= b){ res +=( +df(red-i,kolona,leftofn-1)*2) % mod; res = res%mod; } } for (int i = 1; i < kolona; i++) { if(i*red >= b){ res += (df(red,kolona-i,leftofn-1)*2) % mod; res = res%mod; } } } return memo[red][kolona][leftofn] = res; } int main(){ int t; cin >> t; while(t--){ cin >> r >> c >> b >> n; for (int i = 0; i <= 50; i++) { for (int j = 0; j <= 50; j++) { for (int k = 0; k < 11; k++) { memo[i][j][k] = -1; } } } cout << df(r,c,n) << endl; } }
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