oj.uz

Submission #1106253

# Submission time Handle Problem Language Result Execution time Memory
1106253 2024-10-29T16:37:34 Z _rain_ Boat (APIO16_boat) C++14
58 / 100
 2000 ms 6180 KB 
#include<bits/stdc++.h>
using namespace std;
 
typedef long long ll ;
typedef pair<int,int> ii;
#define fi first
#define se second
#define name "main"
 
const int N=(int)500;
const int MOD=(int)1e9+7;
	int add(int a,int b){
		return a+b>=MOD?a+b-MOD:a+b;
	}
	int sub(int a,int b){
		return a-b<0?a-b+MOD:a-b;
	}
	int mul(int a,int b){
		return (ll)a*b%MOD;
	}
	int power(int a,int b){
		int res=1;
		for(;b;b>>=1,a=mul(a,a))
			if (b&1) res=mul(res,a);
		return res;
	}
vector<int>nen;
vector<ii>line;
int a[N+2],b[N+2],n;
int L[N+2]={},R[N+2]={},f[N*3+2][N+2]={},dp[N+2][N*3+2]={};
int sing[N+2]={},fact[N+2]={},inv[N+2]={},w[N+2]={};
int Combine(int x,int y){
	if (x>y) return 0;
	return (ll)fact[y]*inv[y-x]%MOD*inv[x]%MOD;
}

int C(int k,int n){
	if (k>n) return 0;
	int res=1;
	for(int i=n-k+1;i<=n;++i) res=mul(res,i);
	return mul(res,inv[k]);
}
bool intersec(ii x,int a,int b){
	if (b<x.fi||a>x.se) return false;
	return true;
}
 
void build(){
	memset(L,0x3f,sizeof L);
	memset(R,-0x3f,sizeof R);
	fact[0]=1;
	for(int i=1;i<=N;++i) fact[i]=mul(fact[i-1],i);
	inv[N]=power(fact[N],MOD-2);
	for(int i=N;i>=1;--i) inv[i-1]=mul(inv[i],i);
	for(int id=1;id<=line.size();++id){
		int dodai=line[id-1].se-line[id-1].fi+1;
		for(int j=1;j<=n;++j) w[j]=C(j,dodai);
		for(int j=1;j<=n;++j){
			for(int c=1;c<=j;++c)
				f[id][j]=add(f[id][j],mul(Combine(c-1,j-1),w[c]));
		}
	}
	for(int i=1;i<=n;++i){
		for(int j=1;j<=line.size();++j){
			if (intersec(line[j-1],a[i],b[i])) 
				L[i]=min(L[i],j),R[i]=max(R[i],j);
		}
	}
	return;
}
 
int32_t main(){
	ios::sync_with_stdio(0);
	cin.tie(0); cout.tie(0);
	cin>>n;
	for(int i=1;i<=n;++i){
		cin>>a[i]>>b[i];
		nen.push_back(a[i]);
		nen.push_back(b[i]);
		nen.push_back(a[i]-1);
	}
	sort(nen.begin(),nen.end());
	nen.resize(unique(nen.begin(),nen.end())-nen.begin());
	for(int i=1;i<nen.size();++i){
		if (i-1==0) line.push_back({nen[i-1],nen[i]});
		else line.push_back({nen[i-1]+1,nen[i]});
	}
	// cout<<nen.size()<<'\n';
	build();
	for(int i=0;i<=line.size();++i) dp[0][i]=1;
	for(int i=1;i<=n;++i){
		// cout<<i<<'\n';
		for(int id=L[i];id<=R[i];++id){
			int cnt=0;
			pair<int,int> xx=line[id-1];
			if (id==L[i]){
				int dodai=line[id-1].se-a[i]+1;
				for(int j=0;j<=i;++j) sing[j]=0;
				for(int j=1;j<=i;++j) w[j]=C(j,dodai);
				for(int j=1;j<=i;++j){
					for(int c=1;c<=j;++c)
						sing[j]=add(sing[j],mul(Combine(c-1,j-1),w[c]));
				}
				xx={a[i],line[id-1].se};
			}
			for(int j=i;j>=1;--j){
				if (intersec(xx,a[j],b[j])) ++cnt;
				if (id==L[i]) dp[i][id]=add(dp[i][id],mul(sing[cnt],dp[j-1][id-1]));
				else dp[i][id]=add(dp[i][id],mul(f[id][cnt],dp[j-1][id-1]));
			}
		}
		for(int j=L[i];j<=line.size();++j) dp[i][j]=add(dp[i][j],dp[i][j-1]);
	}
	int ans=0;
	for(int i=1;i<=n;++i) ans=add(ans,dp[i][line.size()]);
	cout<<ans;
	exit(0);
}

Compilation message

boat.cpp: In function 'void build()':
boat.cpp:55:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   55 |  for(int id=1;id<=line.size();++id){
      |               ~~^~~~~~~~~~~~~
boat.cpp:64:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   64 |   for(int j=1;j<=line.size();++j){
      |               ~^~~~~~~~~~~~~
boat.cpp: In function 'int32_t main()':
boat.cpp:84:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   84 |  for(int i=1;i<nen.size();++i){
      |              ~^~~~~~~~~~~
boat.cpp:90:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   90 |  for(int i=0;i<=line.size();++i) dp[0][i]=1;
      |              ~^~~~~~~~~~~~~
boat.cpp:112:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  112 |   for(int j=L[i];j<=line.size();++j) dp[i][j]=add(dp[i][j],dp[i][j-1]);
      |                  ~^~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1110 ms 5148 KB Output is correct
2 Correct 1114 ms 5204 KB Output is correct
3 Correct 1110 ms 4936 KB Output is correct
4 Correct 1120 ms 4936 KB Output is correct
5 Correct 1117 ms 4936 KB Output is correct
6 Correct 1105 ms 5192 KB Output is correct
7 Correct 1103 ms 5148 KB Output is correct
8 Correct 1108 ms 5136 KB Output is correct
9 Correct 1111 ms 5216 KB Output is correct
10 Correct 1111 ms 5072 KB Output is correct
11 Correct 1129 ms 5128 KB Output is correct
12 Correct 1111 ms 4964 KB Output is correct
13 Correct 1111 ms 5160 KB Output is correct
14 Correct 1125 ms 5172 KB Output is correct
15 Correct 1118 ms 5292 KB Output is correct
16 Correct 300 ms 2892 KB Output is correct
17 Correct 309 ms 3232 KB Output is correct
18 Correct 296 ms 2888 KB Output is correct
19 Correct 307 ms 3208 KB Output is correct
20 Correct 299 ms 2888 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1110 ms 5148 KB Output is correct
2 Correct 1114 ms 5204 KB Output is correct
3 Correct 1110 ms 4936 KB Output is correct
4 Correct 1120 ms 4936 KB Output is correct
5 Correct 1117 ms 4936 KB Output is correct
6 Correct 1105 ms 5192 KB Output is correct
7 Correct 1103 ms 5148 KB Output is correct
8 Correct 1108 ms 5136 KB Output is correct
9 Correct 1111 ms 5216 KB Output is correct
10 Correct 1111 ms 5072 KB Output is correct
11 Correct 1129 ms 5128 KB Output is correct
12 Correct 1111 ms 4964 KB Output is correct
13 Correct 1111 ms 5160 KB Output is correct
14 Correct 1125 ms 5172 KB Output is correct
15 Correct 1118 ms 5292 KB Output is correct
16 Correct 300 ms 2892 KB Output is correct
17 Correct 309 ms 3232 KB Output is correct
18 Correct 296 ms 2888 KB Output is correct
19 Correct 307 ms 3208 KB Output is correct
20 Correct 299 ms 2888 KB Output is correct
21 Correct 1246 ms 5912 KB Output is correct
22 Correct 1226 ms 5848 KB Output is correct
23 Correct 1204 ms 5736 KB Output is correct
24 Correct 1231 ms 5840 KB Output is correct
25 Correct 1191 ms 5704 KB Output is correct
26 Correct 1231 ms 5704 KB Output is correct
27 Correct 1216 ms 5808 KB Output is correct
28 Correct 1244 ms 5780 KB Output is correct
29 Correct 1261 ms 5688 KB Output is correct
30 Correct 1455 ms 5948 KB Output is correct
31 Correct 1398 ms 5960 KB Output is correct
32 Correct 1433 ms 5888 KB Output is correct
33 Correct 1430 ms 5956 KB Output is correct
34 Correct 1396 ms 5940 KB Output is correct
35 Correct 1136 ms 5128 KB Output is correct
36 Correct 1101 ms 4896 KB Output is correct
37 Correct 1149 ms 5144 KB Output is correct
38 Correct 1083 ms 5116 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 1360 KB Output is correct
2 Correct 18 ms 1332 KB Output is correct
3 Correct 18 ms 1376 KB Output is correct
4 Correct 18 ms 1360 KB Output is correct
5 Correct 17 ms 1392 KB Output is correct
6 Correct 18 ms 1360 KB Output is correct
7 Correct 19 ms 1360 KB Output is correct
8 Correct 18 ms 1360 KB Output is correct
9 Correct 18 ms 1424 KB Output is correct
10 Correct 18 ms 1448 KB Output is correct
11 Correct 19 ms 1340 KB Output is correct
12 Correct 19 ms 1352 KB Output is correct
13 Correct 18 ms 1500 KB Output is correct
14 Correct 17 ms 1360 KB Output is correct
15 Correct 18 ms 1368 KB Output is correct
16 Correct 9 ms 1104 KB Output is correct
17 Correct 9 ms 1104 KB Output is correct
18 Correct 9 ms 1024 KB Output is correct
19 Correct 9 ms 1104 KB Output is correct
20 Correct 9 ms 1104 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1110 ms 5148 KB Output is correct
2 Correct 1114 ms 5204 KB Output is correct
3 Correct 1110 ms 4936 KB Output is correct
4 Correct 1120 ms 4936 KB Output is correct
5 Correct 1117 ms 4936 KB Output is correct
6 Correct 1105 ms 5192 KB Output is correct
7 Correct 1103 ms 5148 KB Output is correct
8 Correct 1108 ms 5136 KB Output is correct
9 Correct 1111 ms 5216 KB Output is correct
10 Correct 1111 ms 5072 KB Output is correct
11 Correct 1129 ms 5128 KB Output is correct
12 Correct 1111 ms 4964 KB Output is correct
13 Correct 1111 ms 5160 KB Output is correct
14 Correct 1125 ms 5172 KB Output is correct
15 Correct 1118 ms 5292 KB Output is correct
16 Correct 300 ms 2892 KB Output is correct
17 Correct 309 ms 3232 KB Output is correct
18 Correct 296 ms 2888 KB Output is correct
19 Correct 307 ms 3208 KB Output is correct
20 Correct 299 ms 2888 KB Output is correct
21 Correct 1246 ms 5912 KB Output is correct
22 Correct 1226 ms 5848 KB Output is correct
23 Correct 1204 ms 5736 KB Output is correct
24 Correct 1231 ms 5840 KB Output is correct
25 Correct 1191 ms 5704 KB Output is correct
26 Correct 1231 ms 5704 KB Output is correct
27 Correct 1216 ms 5808 KB Output is correct
28 Correct 1244 ms 5780 KB Output is correct
29 Correct 1261 ms 5688 KB Output is correct
30 Correct 1455 ms 5948 KB Output is correct
31 Correct 1398 ms 5960 KB Output is correct
32 Correct 1433 ms 5888 KB Output is correct
33 Correct 1430 ms 5956 KB Output is correct
34 Correct 1396 ms 5940 KB Output is correct
35 Correct 1136 ms 5128 KB Output is correct
36 Correct 1101 ms 4896 KB Output is correct
37 Correct 1149 ms 5144 KB Output is correct
38 Correct 1083 ms 5116 KB Output is correct
39 Correct 19 ms 1360 KB Output is correct
40 Correct 18 ms 1332 KB Output is correct
41 Correct 18 ms 1376 KB Output is correct
42 Correct 18 ms 1360 KB Output is correct
43 Correct 17 ms 1392 KB Output is correct
44 Correct 18 ms 1360 KB Output is correct
45 Correct 19 ms 1360 KB Output is correct
46 Correct 18 ms 1360 KB Output is correct
47 Correct 18 ms 1424 KB Output is correct
48 Correct 18 ms 1448 KB Output is correct
49 Correct 19 ms 1340 KB Output is correct
50 Correct 19 ms 1352 KB Output is correct
51 Correct 18 ms 1500 KB Output is correct
52 Correct 17 ms 1360 KB Output is correct
53 Correct 18 ms 1368 KB Output is correct
54 Correct 9 ms 1104 KB Output is correct
55 Correct 9 ms 1104 KB Output is correct
56 Correct 9 ms 1024 KB Output is correct
57 Correct 9 ms 1104 KB Output is correct
58 Correct 9 ms 1104 KB Output is correct
59 Execution timed out 2020 ms 6180 KB Time limit exceeded
60 Halted 0 ms 0 KB -