oj.uz

Submission #404439

# Submission time Handle Problem Language Result Execution time Memory
404439 2021-05-14T12:14:49 Z CursedCode Boat (APIO16_boat) C++14
27 / 100
 640 ms 12812 KB 
#include <bits/stdc++.h>
#define ll long long
const ll MOD=1000000007;
using namespace std;
ll n,k;
ll l[605],r[605],dp[605][605],val[605],cnt[605][605],c[605][605],sum[605][605],len[605],C[605][605];
unordered_map<ll,ll>um;
set<ll>s;
ll power(ll x,ll y){
	ll res=1;
	while(y){
		if(y&1){
			res=res*x;
			if(res>=MOD) res%=MOD;
		}
		y>>=1;
		x=x*x;
		if(x>=MOD) x%=MOD;
	}
	return res;
}
int main(){
	cin >> n;
	for(ll i=1;i<=n;i++){
		cin >> l[i] >> r[i];
		s.insert(l[i]);
		s.insert(r[i]+1);
		um[l[i]] = um[r[i] + 1] = 0;
	}
	for(auto i=s.begin();i!=s.end();++i){
		um[*i]=++k;
		val[k]=*i;
		if(k>1) len[k-1]=val[k]-val[k-1];
	}
	for(ll i=0;i<=n;i++){
		C[i][0]=1;
		for(ll j=1;j<=i;j++){
			C[i][j]=C[i][j-1]*(i+1-j);
			C[i][j]%=MOD;
			C[i][j]*=power(j,MOD-2);
			C[i][j]%=MOD;
		}
	}
	for (ll j=0;j<k;j++) c[0][j] = 1;
	for (ll j=0;j<k;j++) C[0][j] = 1;
	for(ll i=1;i<k;i++){
		c[i][0]=1;
		for(ll j=1;j<=min(len[i],n);j++){
			c[i][j]=c[i][j-1]*(len[i]+1-j);
			c[i][j]%=MOD;
			c[i][j]*=power(j,MOD-2);
			c[i][j]%=MOD;
			// cout << i << ' ' << j << ' ' << c[i][j] << '\n';
		}
	}
	for(ll i=1;i<k;i++){
		for(ll j=1;j<=min(len[i],n);j++){
			ll res=0;
			for(ll t=1;t<=j;t++){
				res+=(c[i][t]*C[j-1][t-1]);
				res%=MOD;
			}
			sum[i][j]=res;
		}
	}
	for(ll i=1;i<=n;i++){
		for(ll j=1;j<k;j++){
			if(l[i]<=val[j] && val[j]<=r[i]){
				cnt[i][j]=cnt[i-1][j]+1;
			}
			else cnt[i][j]=cnt[i-1][j];
			// cout << i << ' ' << j << ' ' << cnt[i][j] << '\n';
		}
	}
	for(ll i=0;i<=n;i++){dp[i][0]=1;}
	for(ll i=0;i<=n;i++){
		for(ll j=1;j<k;j++){
			dp[i][j]+=dp[i][j-1];
			dp[i][j]%=MOD;
			for(ll t=0;t<i;t++){
				if(l[t+1]<=val[j] && val[j]<=r[t+1]){
					ll p=cnt[i][j]-cnt[t][j];
					dp[i][j]+=(dp[t][j-1]*sum[j][min(p,len[j])]);
					dp[i][j]%=MOD;
				}
				// if(i==1 && j==2) cout << cnt[i][j] << '\n';
			}
			// cout << i << ' ' << j << ' ' << dp[i][j] << '\n';
		}
	}
	cout << (dp[n][k-1]-1)%MOD;
}

Subtask #1
0 / 9.0

# Verdict Execution time Memory Grader output
1 Incorrect 640 ms 12812 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Incorrect 640 ms 12812 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 3608 KB Output is correct
2 Correct 14 ms 3532 KB Output is correct
3 Correct 16 ms 3600 KB Output is correct
4 Correct 14 ms 3584 KB Output is correct
5 Correct 14 ms 3600 KB Output is correct
6 Correct 15 ms 3492 KB Output is correct
7 Correct 15 ms 3532 KB Output is correct
8 Correct 15 ms 3532 KB Output is correct
9 Correct 15 ms 3508 KB Output is correct
10 Correct 15 ms 3532 KB Output is correct
11 Correct 14 ms 3532 KB Output is correct
12 Correct 14 ms 3500 KB Output is correct
13 Correct 14 ms 3532 KB Output is correct
14 Correct 15 ms 3532 KB Output is correct
15 Correct 14 ms 3532 KB Output is correct
16 Correct 10 ms 2636 KB Output is correct
17 Correct 8 ms 2712 KB Output is correct
18 Correct 9 ms 2764 KB Output is correct
19 Correct 8 ms 2764 KB Output is correct
20 Correct 9 ms 2636 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Incorrect 640 ms 12812 KB Output isn't correct
2 Halted 0 ms 0 KB -