Submission #1008581

#TimeUsernameProblemLanguageResultExecution timeMemory
1008581yellowtoadSkyscraper (JOI16_skyscraper)C++17
100 / 100
260 ms256336 KiB
#include <iostream> #include <algorithm> #define int long long using namespace std; const long long mod = 1e9+7; long long n, m, a[110], dp[110][1010][110][3], sum; signed main() { cin >> n >> m; for (int i = 1; i <= n; i++) cin >> a[i]; if (n == 1) { cout << 1 << endl; return 0; } sort(a+1,a+n+1); dp[1][0][1][0] = 1; dp[1][0][1][1] = 2; for (int i = 2; i <= n; i++) { for (int j = 0; j <= m; j++) { for (int k = 1; k <= n; k++) { if (j >= 2*(k-1)*(a[i]-a[i-1])) (dp[i][j][k][0] += dp[i-1][j-2*(k-1)*(a[i]-a[i-1])][k-1][0]*k) %= mod; if (j >= 2*(k)*(a[i]-a[i-1])) (dp[i][j][k][0] += dp[i-1][j-2*(k)*(a[i]-a[i-1])][k][0]*2*k) %= mod; if (j >= 2*(k+1)*(a[i]-a[i-1])) (dp[i][j][k][0] += dp[i-1][j-2*(k+1)*(a[i]-a[i-1])][k+1][0]*k) %= mod; if (j >= 2*(k-1)*(a[i]-a[i-1])) (dp[i][j][k][1] += dp[i-1][j-2*(k-1)*(a[i]-a[i-1])][k-1][0]*2) %= mod; if (j >= 2*(k)*(a[i]-a[i-1])) (dp[i][j][k][1] += dp[i-1][j-2*(k)*(a[i]-a[i-1])][k][0]*2) %= mod; if (j >= (2*(k-1)-1)*(a[i]-a[i-1])) (dp[i][j][k][1] += dp[i-1][j-(2*(k-1)-1)*(a[i]-a[i-1])][k-1][1]*(k-1)) %= mod; if (j >= (2*(k)-1)*(a[i]-a[i-1])) (dp[i][j][k][1] += dp[i-1][j-(2*(k)-1)*(a[i]-a[i-1])][k][1]*(2*(k)-1)) %= mod; if (j >= (2*(k+1)-1)*(a[i]-a[i-1])) (dp[i][j][k][1] += dp[i-1][j-(2*(k+1)-1)*(a[i]-a[i-1])][k+1][1]*(k)) %= mod; if (j >= (2*(k-1)-1)*(a[i]-a[i-1])) (dp[i][j][k][2] += dp[i-1][j-(2*(k-1)-1)*(a[i]-a[i-1])][k-1][1]) %= mod; if (j >= (2*(k)-1)*(a[i]-a[i-1])) (dp[i][j][k][2] += dp[i-1][j-(2*(k)-1)*(a[i]-a[i-1])][k][1]) %= mod; if (j >= (2*(k-1)-2)*(a[i]-a[i-1])) (dp[i][j][k][2] += dp[i-1][j-(2*(k-1)-2)*(a[i]-a[i-1])][k-1][2]*(k-2)) %= mod; if (j >= (2*(k)-2)*(a[i]-a[i-1])) (dp[i][j][k][2] += dp[i-1][j-(2*(k)-2)*(a[i]-a[i-1])][k][2]*(2*(k)-2)) %= mod; if (j >= (2*(k+1)-2)*(a[i]-a[i-1])) (dp[i][j][k][2] += dp[i-1][j-(2*(k+1)-2)*(a[i]-a[i-1])][k+1][2]*(k)) %= mod; } } } for (int i = 0; i <= m; i++) (sum += dp[n][i][1][2]) %= mod; cout << sum << endl; }
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