Submission #788616

#TimeUsernameProblemLanguageResultExecution timeMemory
788616WLZKangaroo (CEOI16_kangaroo)C++17
100 / 100
26 ms16060 KiB
#include <bits/stdc++.h>
using namespace std;

const int MOD = (int) 1e9 + 7;

/** Assumes 1 <= a, b < MOD */
int add(int a, int b) {
  if (a + b >= MOD) return a + b - MOD;
  return a + b;
}

/** Assumes 1 <= a, b < MOD */
int sub(int a, int b) {
  return add(a, MOD - b);
}

/** Assumes 1 <= a, b < MOD */
int mul(int a, int b) {
  return (long long) a * b % MOD;
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, cs, cf;
  cin >> n >> cs >> cf;
  vector< vector<int> > dp(n + 1, vector<int>(n + 1, 0));
  dp[0][0] = 1;
  for (int i = 1; i <= n; i++) {
    for (int j = 1; j < n; j++) {
      if (i == cs || i == cf) {
        dp[i][j] = add(dp[i - 1][j], dp[i - 1][j - 1]);
      } else {
        dp[i][j] = add(mul(dp[i - 1][j - 1], j - (i > cs) - (i > cf)), mul(dp[i - 1][j + 1], j));
      }
    }
  }
  cout << dp[n][1] << '\n';
  return 0;
}
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