oj.uz

Submission #230607

# Submission time Handle Problem Language Result Execution time Memory
230607 2020-05-10T14:50:26 Z brcode Boat (APIO16_boat) C++14
9 / 100
 485 ms 6584 KB 
#include <iostream>
#include <bits/stdc++.h>
using namespace std;
const long long MOD = 1e9+7;
const long long MAXN = 1000;
long long a[MAXN];
long long b[MAXN];
long long dp[MAXN][MAXN];
long long comb[MAXN][MAXN];
long long fac[4*MAXN];
vector<long long> pts;
long long power(long long x, long long y, long long p) { 
    long long res = 1;      
  
    x = x % p;  
  
    while (y > 0) 
    { 
        
        if (y & 1) 
            res = (res*x) % p; 
  
        
        y = y>>1;
        x = (x*x) % p; 
    } 
    return res; 
} 
  
long long modInverse(long long n, long long p) { 
    return power(n, p-2, p); 
} 
   
long long nCrModPFermat(long long n, long long r) { 
   long long p = MOD;
    if(comb[n][r]){
        return comb[n][r];
    }
   
   if (r==0) 
      return 1;
   
   
  
    return comb[n][r] = (1LL*fac[n]* modInverse(fac[r], p) % p * 
            1LL*modInverse(fac[n-r], p) % p) % p; 
} 
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    long long n;
    cin>>n;
    fac[0] = 1;
    for(long long i=1;i<=1000;i++){
        fac[i] = (1LL*fac[i-1]*i)%MOD; 
        
    }
    
    for(long long i=0;i<n;i++){
        
        cin>>a[i]>>b[i];
        a[i]--;
        pts.push_back(a[i]);
        pts.push_back(b[i]);
    }
    sort(pts.begin(),pts.end());
    pts.resize(unique(pts.begin(),pts.end())-pts.begin());
    for(long long i=0;i<pts.size();i++){
       
        dp[0][i] = 1;
    }
    for(long long i=1;i<=n;i++){
        dp[i][0] = 1;
        for(long long j=1;j<pts.size();j++){
            dp[i][j] = dp[i][j-1];
            
            long long cnt = 0;
            for(long long k=i;k>=1;k--){
                if(a[k-1]<pts[j] && b[k-1]>=pts[j]){
                    cnt++;
                    dp[i][j]+=(1LL*dp[k-1][j-1]*nCrModPFermat(pts[j]-pts[j-1]+cnt-1,cnt));
                    dp[i][j]%=MOD;
                   
                  // cout<<pts[j]-pts[j-1]<<" "<<cnt<<" "<<nCrModPFermat(pts[j]-pts[j-1],cnt)<<endl;
                }
            }
           // cout<<i<<" "<<j<<" "<<dp[i][j]<<endl;
        }
    }
    cout<<dp[n][pts.size()-1]-1<<'\n';
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:68:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(long long i=0;i<pts.size();i++){
                       ~^~~~~~~~~~~
boat.cpp:74:28: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for(long long j=1;j<pts.size();j++){
                           ~^~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 258 ms 4344 KB Output is correct
2 Correct 254 ms 4268 KB Output is correct
3 Correct 253 ms 4360 KB Output is correct
4 Correct 248 ms 4316 KB Output is correct
5 Correct 251 ms 4344 KB Output is correct
6 Correct 157 ms 4344 KB Output is correct
7 Correct 151 ms 4344 KB Output is correct
8 Correct 161 ms 4344 KB Output is correct
9 Correct 161 ms 4348 KB Output is correct
10 Correct 156 ms 4344 KB Output is correct
11 Correct 153 ms 4344 KB Output is correct
12 Correct 171 ms 4344 KB Output is correct
13 Correct 169 ms 4344 KB Output is correct
14 Correct 144 ms 4344 KB Output is correct
15 Correct 152 ms 4472 KB Output is correct
16 Correct 57 ms 3064 KB Output is correct
17 Correct 60 ms 3192 KB Output is correct
18 Correct 57 ms 3192 KB Output is correct
19 Correct 60 ms 3192 KB Output is correct
20 Correct 60 ms 3192 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 258 ms 4344 KB Output is correct
2 Correct 254 ms 4268 KB Output is correct
3 Correct 253 ms 4360 KB Output is correct
4 Correct 248 ms 4316 KB Output is correct
5 Correct 251 ms 4344 KB Output is correct
6 Correct 157 ms 4344 KB Output is correct
7 Correct 151 ms 4344 KB Output is correct
8 Correct 161 ms 4344 KB Output is correct
9 Correct 161 ms 4348 KB Output is correct
10 Correct 156 ms 4344 KB Output is correct
11 Correct 153 ms 4344 KB Output is correct
12 Correct 171 ms 4344 KB Output is correct
13 Correct 169 ms 4344 KB Output is correct
14 Correct 144 ms 4344 KB Output is correct
15 Correct 152 ms 4472 KB Output is correct
16 Correct 57 ms 3064 KB Output is correct
17 Correct 60 ms 3192 KB Output is correct
18 Correct 57 ms 3192 KB Output is correct
19 Correct 60 ms 3192 KB Output is correct
20 Correct 60 ms 3192 KB Output is correct
21 Correct 377 ms 5624 KB Output is correct
22 Correct 369 ms 5752 KB Output is correct
23 Correct 359 ms 5484 KB Output is correct
24 Correct 361 ms 5496 KB Output is correct
25 Correct 380 ms 5496 KB Output is correct
26 Correct 471 ms 6584 KB Output is correct
27 Correct 485 ms 6520 KB Output is correct
28 Correct 470 ms 6520 KB Output is correct
29 Correct 472 ms 6392 KB Output is correct
30 Runtime error 8 ms 1664 KB Execution killed with signal 11 (could be triggered by violating memory limits)
31 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Runtime error 6 ms 640 KB Execution killed with signal 11 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 258 ms 4344 KB Output is correct
2 Correct 254 ms 4268 KB Output is correct
3 Correct 253 ms 4360 KB Output is correct
4 Correct 248 ms 4316 KB Output is correct
5 Correct 251 ms 4344 KB Output is correct
6 Correct 157 ms 4344 KB Output is correct
7 Correct 151 ms 4344 KB Output is correct
8 Correct 161 ms 4344 KB Output is correct
9 Correct 161 ms 4348 KB Output is correct
10 Correct 156 ms 4344 KB Output is correct
11 Correct 153 ms 4344 KB Output is correct
12 Correct 171 ms 4344 KB Output is correct
13 Correct 169 ms 4344 KB Output is correct
14 Correct 144 ms 4344 KB Output is correct
15 Correct 152 ms 4472 KB Output is correct
16 Correct 57 ms 3064 KB Output is correct
17 Correct 60 ms 3192 KB Output is correct
18 Correct 57 ms 3192 KB Output is correct
19 Correct 60 ms 3192 KB Output is correct
20 Correct 60 ms 3192 KB Output is correct
21 Correct 377 ms 5624 KB Output is correct
22 Correct 369 ms 5752 KB Output is correct
23 Correct 359 ms 5484 KB Output is correct
24 Correct 361 ms 5496 KB Output is correct
25 Correct 380 ms 5496 KB Output is correct
26 Correct 471 ms 6584 KB Output is correct
27 Correct 485 ms 6520 KB Output is correct
28 Correct 470 ms 6520 KB Output is correct
29 Correct 472 ms 6392 KB Output is correct
30 Runtime error 8 ms 1664 KB Execution killed with signal 11 (could be triggered by violating memory limits)
31 Halted 0 ms 0 KB -