F - Fabricating Sculptures

https://codeforces.com/gym/102428/submission/177271004

Gym/102428/F/F.cpp

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+#include <iostream>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 5e3 + 5;
+const int mod = 1e9 + 7;
+
+int m, n, f[N][N], s[N];
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    cin >> m >> n;
+
+    for (int i = m; i <= n; i++) {
+        f[1][i] = 1;
+        s[i] = 1;
+    }
+
+    for (int i = 2; i <= m; i++) {
+        f[i][m] = 1;
+        s[i + m]++;
+
+        for (int j = m + 1; j <= n; j++) {
+            f[i][j] = (f[i - 1][j] + s[j]) % mod;
+            s[i + j] = (s[i + j] + f[i][j]) % mod;
+        }
+    }
+
+    cout << f[m][n] << endl;
+
+    return 0;
+}