Submission #43384

#TimeUsernameProblemLanguageResultExecution timeMemory
43384funcsrKangaroo (CEOI16_kangaroo)C++14
36 / 100
2029 ms32072 KiB
#include <cstdio>
#include <iostream>
#include <algorithm>
#include <string>
#include <cstring>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <cmath>
#include <iomanip>
#include <cassert>
#include <bitset>
using namespace std;

typedef pair<int, int> P;
#define rep(i, n) for (int i=0; i<(n); i++)
#define all(c) (c).begin(), (c).end()
#define uniq(c) c.erase(unique(all(c)), (c).end())
#define index(xs, x) (int)(lower_bound(all(xs), x) - xs.begin())
#define _1 first
#define _2 second
#define pb push_back
#define INF 1145141919
#define MOD 1000000007
inline void add(int &x, int v) { x += v; if (x >= MOD) x -= MOD; }

int dp[2][2001][2001];
int solve(int N, int CS, int CF) {
  rep(j, N+1) rep(k, N+1) dp[0][j][k] = 0;
  dp[0][CS][CF-(CS<CF)] = 1;
  rep(i, N-2) {
    rep(j, N+1) rep(k, N+1) dp[1][j][k] = 0;
    int n = N-1-i;
    rep(j, N+1) {
      rep(k, N+1) {
        if (dp[0][j][k] == 0) continue;
        //cout<<"dp["<<i<<"]["<<j<<"]["<<k<<"]="<<dp[i][j][k]<<"\n";
        if (i%2 == 0) {
          for (int x=j; x<n; x++) {
            if (i < N-2 && x == k) continue;
            if(k-(x<=k)>=0) {
              add(dp[1][x][k-(x<=k)], dp[0][j][k]);
            }
          }
        }
        else {
          for (int x=0; x<j; x++) {
            if (i < N-2 && x == k) continue;
            if (k-(x<=k)>=0) {
              add(dp[1][x][k-(x<=k)], dp[0][j][k]);
            }
          }
        }
      }
    }
    swap(dp[0], dp[1]);
  }
  int s = 0;
  rep(j, N+1) {
    rep(k, N+1) {
      if ((N-2)%2 == 0) {
        if (j == 0 && k == 0) add(s, dp[0][j][k]);
      }
      else {
        if (k <= j-1) add(s, dp[0][j][k]);
      }
    }
  }
  return s;
}

signed main() {
  ios::sync_with_stdio(false); cin.tie(0);
  int N, CS, CF;
  cin >> N >> CS >> CF;
  /*
  if (N == 2) {
    cout << 1 << "\n";
    return 0;
  }
  */
  CS--, CF--;
  int s = solve(N, CS, CF);
  CS = N-1-CS, CF = N-1-CF;
  add(s, solve(N, CS, CF));
  cout << s << "\n";
  return 0;
}
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