Submission #533894

# Submission time Handle Problem Language Result Execution time Memory
533894 2022-03-07T14:59:15 Z new_acc Boat (APIO16_boat) C++14
58 / 100
2000 ms 21360 KB
#include<bits/stdc++.h>
#define fi first
#define se second
using namespace std;
typedef long long ll;
typedef vector<int> vi;
typedef vector<ll> vl;
const int N=5e2+10;
const ll mod=1e9+7;
struct st{
	int a,b,dl;
};
st pw[N*2];
ll dp[N][N*2];
ll dp2[N*2][N];
ll dp3[N*2][N];
pair<int,int>w[N];
ll sil[N],sp[N][N*2];
ll d1[N][N],d2[N*2][N];
int power(ll n,ll k){
	ll res=1;
	while(k>0){
		if(k&1) (res*=n)%=mod;
		k>>=1;
		(n*=n)%=mod;
	}
	return res;
}
int dwu(ll n,ll k){
	if(k>n) return 0;
	ll curr=1;
	for(int i=n;i>=n-k+1;i--) (curr*=(ll)i)%=mod;
	return (curr*power(sil[k],mod-2))%mod;
}
void solve(){
	int n;
	cin>>n;
	vi v;
	for(int i=1;i<=n;i++){
		cin>>w[i].fi>>w[i].se;
		v.push_back(w[i].fi),v.push_back(w[i].se+1);
	}
	sort(v.begin(),v.end());
	int l=0;
	for(int i=0;i<v.size()-1;i++){
		if(v[i]==v[i+1]) continue;
		st pom;
		pom.a=v[i],pom.b=v[i+1]-1,pom.dl=(pom.b-pom.a+1);
		pw[++l]=pom;
	}
	sil[0]=1;
	for(int i=1;i<=n;i++) (sil[i]=sil[i-1]*(ll)i)%=mod;
	for(int i=1;i<=n;i++)
		for(int j=1;j<=i;j++) d1[i][j]=dwu(i,j);
	for(int i=1;i<=l;i++)
		for(int j=1;j<=n;j++) d2[i][j]=dwu(pw[i].dl,j);
	for(int i=1;i<=l;i++){
		for(int j=1;j<=n;j++){
			dp2[i][j]=pw[i].dl;
			for(int k=min(j,pw[i].dl);k>=2;k--) (dp2[i][j]+=d1[j-1][k-1]*d2[i][k])%=mod;
		}
	}
	for(int i=1;i<=l;i++){
		for(int j=2;j<=n;j++){
			if(pw[i].dl==1) continue;
			dp3[i][j]=(ll)(pw[i].dl*(pw[i].dl-1LL))/2;
			dp3[i][j]%=mod;
			for(int k=min(j,pw[i].dl);k>=3;k--) (dp3[i][j]+=d1[j-2][k-2]*d2[i][k])%=mod;
		}
	}
	ll res=0;
	for(int i=1;i<=n;i++){
		for(int j=1;j<=l;j++){
			if(pw[j].b<w[i].fi or pw[j].a>w[i].se) continue;
			dp[i][j]=pw[j].dl;
			int il=1;
			for(int k=i-1;k>=1;k--){
				(dp[i][j]+=sp[k][j-1]*dp2[j][il])%=mod;
				if(pw[j].a>=w[k].fi and pw[j].b<=w[k].se){
					il++;
					dp[i][j]+=dp3[j][il];
				}
			}
			dp[i][j]%=mod;
			res+=dp[i][j];
		}
		for(int j=1;j<=l;j++) sp[i][j]=(sp[i][j-1]+dp[i][j])%mod;
	}
	cout<<res%mod<<"\n";
}
int main(){
	ios_base::sync_with_stdio(0),cin.tie(0);
	solve();
}

Compilation message

boat.cpp: In function 'void solve()':
boat.cpp:45:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   45 |  for(int i=0;i<v.size()-1;i++){
      |              ~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 897 ms 20204 KB Output is correct
2 Correct 910 ms 20196 KB Output is correct
3 Correct 899 ms 20132 KB Output is correct
4 Correct 897 ms 20184 KB Output is correct
5 Correct 889 ms 20200 KB Output is correct
6 Correct 884 ms 20356 KB Output is correct
7 Correct 883 ms 20380 KB Output is correct
8 Correct 901 ms 20176 KB Output is correct
9 Correct 894 ms 20272 KB Output is correct
10 Correct 901 ms 20300 KB Output is correct
11 Correct 887 ms 20236 KB Output is correct
12 Correct 904 ms 20304 KB Output is correct
13 Correct 904 ms 20192 KB Output is correct
14 Correct 907 ms 20308 KB Output is correct
15 Correct 915 ms 20232 KB Output is correct
16 Correct 242 ms 9124 KB Output is correct
17 Correct 261 ms 9360 KB Output is correct
18 Correct 248 ms 9128 KB Output is correct
19 Correct 251 ms 9284 KB Output is correct
20 Correct 251 ms 9216 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 897 ms 20204 KB Output is correct
2 Correct 910 ms 20196 KB Output is correct
3 Correct 899 ms 20132 KB Output is correct
4 Correct 897 ms 20184 KB Output is correct
5 Correct 889 ms 20200 KB Output is correct
6 Correct 884 ms 20356 KB Output is correct
7 Correct 883 ms 20380 KB Output is correct
8 Correct 901 ms 20176 KB Output is correct
9 Correct 894 ms 20272 KB Output is correct
10 Correct 901 ms 20300 KB Output is correct
11 Correct 887 ms 20236 KB Output is correct
12 Correct 904 ms 20304 KB Output is correct
13 Correct 904 ms 20192 KB Output is correct
14 Correct 907 ms 20308 KB Output is correct
15 Correct 915 ms 20232 KB Output is correct
16 Correct 242 ms 9124 KB Output is correct
17 Correct 261 ms 9360 KB Output is correct
18 Correct 248 ms 9128 KB Output is correct
19 Correct 251 ms 9284 KB Output is correct
20 Correct 251 ms 9216 KB Output is correct
21 Correct 335 ms 20092 KB Output is correct
22 Correct 332 ms 20196 KB Output is correct
23 Correct 300 ms 19892 KB Output is correct
24 Correct 326 ms 20020 KB Output is correct
25 Correct 320 ms 20100 KB Output is correct
26 Correct 371 ms 20344 KB Output is correct
27 Correct 374 ms 20420 KB Output is correct
28 Correct 377 ms 20236 KB Output is correct
29 Correct 369 ms 20388 KB Output is correct
30 Correct 856 ms 20356 KB Output is correct
31 Correct 846 ms 20184 KB Output is correct
32 Correct 866 ms 20284 KB Output is correct
33 Correct 853 ms 20384 KB Output is correct
34 Correct 835 ms 20372 KB Output is correct
35 Correct 833 ms 20292 KB Output is correct
36 Correct 864 ms 20228 KB Output is correct
37 Correct 867 ms 20164 KB Output is correct
38 Correct 842 ms 20136 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 20 ms 4164 KB Output is correct
2 Correct 19 ms 4088 KB Output is correct
3 Correct 21 ms 4164 KB Output is correct
4 Correct 19 ms 4192 KB Output is correct
5 Correct 20 ms 4172 KB Output is correct
6 Correct 19 ms 4232 KB Output is correct
7 Correct 20 ms 4124 KB Output is correct
8 Correct 20 ms 4172 KB Output is correct
9 Correct 21 ms 4204 KB Output is correct
10 Correct 20 ms 4132 KB Output is correct
11 Correct 21 ms 4160 KB Output is correct
12 Correct 20 ms 4044 KB Output is correct
13 Correct 20 ms 4136 KB Output is correct
14 Correct 19 ms 4044 KB Output is correct
15 Correct 19 ms 4112 KB Output is correct
16 Correct 10 ms 2960 KB Output is correct
17 Correct 10 ms 2892 KB Output is correct
18 Correct 10 ms 2896 KB Output is correct
19 Correct 10 ms 2896 KB Output is correct
20 Correct 11 ms 2892 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 897 ms 20204 KB Output is correct
2 Correct 910 ms 20196 KB Output is correct
3 Correct 899 ms 20132 KB Output is correct
4 Correct 897 ms 20184 KB Output is correct
5 Correct 889 ms 20200 KB Output is correct
6 Correct 884 ms 20356 KB Output is correct
7 Correct 883 ms 20380 KB Output is correct
8 Correct 901 ms 20176 KB Output is correct
9 Correct 894 ms 20272 KB Output is correct
10 Correct 901 ms 20300 KB Output is correct
11 Correct 887 ms 20236 KB Output is correct
12 Correct 904 ms 20304 KB Output is correct
13 Correct 904 ms 20192 KB Output is correct
14 Correct 907 ms 20308 KB Output is correct
15 Correct 915 ms 20232 KB Output is correct
16 Correct 242 ms 9124 KB Output is correct
17 Correct 261 ms 9360 KB Output is correct
18 Correct 248 ms 9128 KB Output is correct
19 Correct 251 ms 9284 KB Output is correct
20 Correct 251 ms 9216 KB Output is correct
21 Correct 335 ms 20092 KB Output is correct
22 Correct 332 ms 20196 KB Output is correct
23 Correct 300 ms 19892 KB Output is correct
24 Correct 326 ms 20020 KB Output is correct
25 Correct 320 ms 20100 KB Output is correct
26 Correct 371 ms 20344 KB Output is correct
27 Correct 374 ms 20420 KB Output is correct
28 Correct 377 ms 20236 KB Output is correct
29 Correct 369 ms 20388 KB Output is correct
30 Correct 856 ms 20356 KB Output is correct
31 Correct 846 ms 20184 KB Output is correct
32 Correct 866 ms 20284 KB Output is correct
33 Correct 853 ms 20384 KB Output is correct
34 Correct 835 ms 20372 KB Output is correct
35 Correct 833 ms 20292 KB Output is correct
36 Correct 864 ms 20228 KB Output is correct
37 Correct 867 ms 20164 KB Output is correct
38 Correct 842 ms 20136 KB Output is correct
39 Correct 20 ms 4164 KB Output is correct
40 Correct 19 ms 4088 KB Output is correct
41 Correct 21 ms 4164 KB Output is correct
42 Correct 19 ms 4192 KB Output is correct
43 Correct 20 ms 4172 KB Output is correct
44 Correct 19 ms 4232 KB Output is correct
45 Correct 20 ms 4124 KB Output is correct
46 Correct 20 ms 4172 KB Output is correct
47 Correct 21 ms 4204 KB Output is correct
48 Correct 20 ms 4132 KB Output is correct
49 Correct 21 ms 4160 KB Output is correct
50 Correct 20 ms 4044 KB Output is correct
51 Correct 20 ms 4136 KB Output is correct
52 Correct 19 ms 4044 KB Output is correct
53 Correct 19 ms 4112 KB Output is correct
54 Correct 10 ms 2960 KB Output is correct
55 Correct 10 ms 2892 KB Output is correct
56 Correct 10 ms 2896 KB Output is correct
57 Correct 10 ms 2896 KB Output is correct
58 Correct 11 ms 2892 KB Output is correct
59 Correct 1897 ms 21360 KB Output is correct
60 Correct 1887 ms 21272 KB Output is correct
61 Correct 1845 ms 21184 KB Output is correct
62 Correct 1896 ms 21356 KB Output is correct
63 Execution timed out 2025 ms 21344 KB Time limit exceeded
64 Halted 0 ms 0 KB -