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Submission #403357

# Submission time Handle Problem Language Result Execution time Memory
403357 2021-05-13T05:23:29 Z Bill_00 Boat (APIO16_boat) C++14
9 / 100
 622 ms 16224 KB 
#include <bits/stdc++.h>
#define ll long long
const ll MOD=1000000007;
using namespace std;
ll n,k;
ll l[505],r[505],dp[505][1005],val[1005],cnt[505][1005],c[505][1005],sum[505][1005],len[1005];
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(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin >> n;
	for(ll i=1;i<=n;i++){
		cin >> l[i] >> r[i];
		s.insert(l[i]);
		s.insert(r[i]+1);
	}
	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=1;i<k;i++){
		c[i][0]=1;
		for(ll j=1;j<=n;j++){
			if(j>len[i]) sum[i][j]=sum[i][j-1];
			else{	
				c[i][j]=c[i][j-1]*(len[i]+1-j);
				if(c[i][j]>=MOD) c[i][j]%=MOD;
				c[i][j]*=power(j,MOD-2);
				if(c[i][j]>=MOD) c[i][j]%=MOD;
				sum[i][j]=sum[i][j-1]+c[i][j];
				if(sum[i][j]>=MOD) sum[i][j]%=MOD;
			}
			// cout << i << ' ' << j << ' ' << c[i][j] << '\n';
		}
	}
	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];
			if(dp[i][j]>=MOD) 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][p]);
					if(dp[i][j]>=MOD) 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)%MOD;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 329 ms 16176 KB Output is correct
2 Correct 322 ms 16224 KB Output is correct
3 Correct 317 ms 16200 KB Output is correct
4 Correct 318 ms 16180 KB Output is correct
5 Correct 321 ms 16196 KB Output is correct
6 Correct 202 ms 16208 KB Output is correct
7 Correct 199 ms 16164 KB Output is correct
8 Correct 204 ms 16100 KB Output is correct
9 Correct 204 ms 16144 KB Output is correct
10 Correct 200 ms 16212 KB Output is correct
11 Correct 203 ms 16196 KB Output is correct
12 Correct 211 ms 16148 KB Output is correct
13 Correct 201 ms 16148 KB Output is correct
14 Correct 195 ms 16156 KB Output is correct
15 Correct 204 ms 16132 KB Output is correct
16 Correct 69 ms 8100 KB Output is correct
17 Correct 69 ms 8452 KB Output is correct
18 Correct 68 ms 8260 KB Output is correct
19 Correct 71 ms 8352 KB Output is correct
20 Correct 69 ms 8212 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 329 ms 16176 KB Output is correct
2 Correct 322 ms 16224 KB Output is correct
3 Correct 317 ms 16200 KB Output is correct
4 Correct 318 ms 16180 KB Output is correct
5 Correct 321 ms 16196 KB Output is correct
6 Correct 202 ms 16208 KB Output is correct
7 Correct 199 ms 16164 KB Output is correct
8 Correct 204 ms 16100 KB Output is correct
9 Correct 204 ms 16144 KB Output is correct
10 Correct 200 ms 16212 KB Output is correct
11 Correct 203 ms 16196 KB Output is correct
12 Correct 211 ms 16148 KB Output is correct
13 Correct 201 ms 16148 KB Output is correct
14 Correct 195 ms 16156 KB Output is correct
15 Correct 204 ms 16132 KB Output is correct
16 Correct 69 ms 8100 KB Output is correct
17 Correct 69 ms 8452 KB Output is correct
18 Correct 68 ms 8260 KB Output is correct
19 Correct 71 ms 8352 KB Output is correct
20 Correct 69 ms 8212 KB Output is correct
21 Incorrect 622 ms 15872 KB Output isn't correct
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Incorrect 9 ms 3276 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 329 ms 16176 KB Output is correct
2 Correct 322 ms 16224 KB Output is correct
3 Correct 317 ms 16200 KB Output is correct
4 Correct 318 ms 16180 KB Output is correct
5 Correct 321 ms 16196 KB Output is correct
6 Correct 202 ms 16208 KB Output is correct
7 Correct 199 ms 16164 KB Output is correct
8 Correct 204 ms 16100 KB Output is correct
9 Correct 204 ms 16144 KB Output is correct
10 Correct 200 ms 16212 KB Output is correct
11 Correct 203 ms 16196 KB Output is correct
12 Correct 211 ms 16148 KB Output is correct
13 Correct 201 ms 16148 KB Output is correct
14 Correct 195 ms 16156 KB Output is correct
15 Correct 204 ms 16132 KB Output is correct
16 Correct 69 ms 8100 KB Output is correct
17 Correct 69 ms 8452 KB Output is correct
18 Correct 68 ms 8260 KB Output is correct
19 Correct 71 ms 8352 KB Output is correct
20 Correct 69 ms 8212 KB Output is correct
21 Incorrect 622 ms 15872 KB Output isn't correct
22 Halted 0 ms 0 KB -