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Submission #268713

# Submission time Handle Problem Language Result Execution time Memory
268713 2020-08-16T20:10:01 Z test2 Boat (APIO16_boat) C++14
9 / 100
 1446 ms 28024 KB 
#include<bits/stdc++.h>

#define I inline void 

using ll = long long ; 
using ld = long double ; 

using namespace std ; 

const int N = 3000 + 7 , mod = 1e9 + 7 ; 

// how interesting!

int n; 

ll ans ; 
map<int , int > used ; 
set<pair<int , int> > st ; 
ll sz[N] ;
vector<pair<int , int> > v ; 
ll f[N] ; 

I add(int u , int v){
	while(u <=v && used[u])u++ ; 
	while(v>=u&&used[v])v-- ; 

	if(u <=v){
		used[u] = used[v] = 1; 
		st.insert({u , v}) ; 
	}
}

vector<int> onepiece[N * 10] ; 
std::vector<int> szs[N * 10];

ll dp[N][505] ; 

ll mul(ll a , ll b){
	return (1ll * a * b) %mod ; 
}

ll faspow(ll x , ll y){
	if(!y)return 1ll ; 
	ll ret = faspow(x , y/2) ; 
	ret = (1ll * ret * ret ) %mod ;
	if(y&1)ret = 1ll * ret * x %mod ; 
	return ret ; 
}

ll ncr(ll x , ll y){
	ll ret = mul(f[x] , faspow(f[y] , mod -2)) ; 
	ret = mul(ret , faspow(f[x - y] , mod-2)) ; 
	return ret ; 
}

ll solve(int i , int j){
	if(dp[i][j]!=-1)
		return dp[i][j] ; 
	if(i == (int) st.size())
		return 1; 
	ll ret = solve(i+1 , j ) ; 

	int pos = 0 ;
	ll add = 0ll ; 

	int k = 0 ; 
	for(auto u : onepiece[i]){
		if(u > j){
			if( k +1 <= sz[i])
				add = (add + ncr(sz[i] , min((int) sz[i] , ++ k ) )  )  %mod ; 
			ll plls = mul( add , solve(i+1,  u) ) ; 
			ret = (ret + plls ) %mod  ; 
		}
		pos ++ ; 
	}
	return dp[i][j] = ret ; 
}

ll conts[N] ; 

int main(){	
	ios_base::sync_with_stdio(0) ; 
	cin.tie(0) ; 
	memset(dp , -1 , sizeof dp) ; 

	f[0] = 1ll ; 
	for(int i =1 ; i < N ;i++){
		f[i]= mul(f[i-1] , i) ; 
	}

	//freopen("in.in" , "r" , stdin) ;  
	cin >> n; 
	set<int> ev ; 

	for(int i = 0 ;i < n;i++){
		int x , y ; 
		cin >> x >> y ; 
		ev.insert(x) ; 
		ev.insert(y) ; 
		used[x] = used[y] = 1; 
		st.insert({x , x}) ; 
		st.insert({y , y}) ;
		//for(int j =x ;j <= y ;j ++)
		//	st.push_back({j , j})  ; 
		v.push_back({x , y}) ; 
	}
	
	int l = 0 ; 
	for(auto u : ev){
		if(l){
			add(l+1 , u - 1) ; 
		}
		l = u ; 
	}

	int pos = 0 ; 
	for(auto u : st){ 

		for(int j = 0 ;j < n; j++){
			if(  u.first>= v[j].first &&  u.second <= v[j].second ){
				onepiece[pos].push_back(j + 1) ; 
				szs[pos].push_back( u.second - u.first +1 ) ; 

				sz[pos] += u.second - u.first + 1ll ;
				conts[j] +=  u.second -  u.first + 1 ; 
			}
		}
		sz[pos] = u.second - u.first + 1 ; 
		sort(onepiece[pos].begin() , onepiece[pos].end()) ; 
		pos ++ ; 
	}



	for(int i = 0 ;i < n;i++){
	//	assert((conts[i] == v[i].second - v[i].first + 1)) ; 
	}
		
	cout<< (mod + solve(0 ,  0 ) -1 ) %mod ; 
	return 0 ; 
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 13952 KB Output is correct
2 Correct 54 ms 13952 KB Output is correct
3 Correct 55 ms 13952 KB Output is correct
4 Correct 52 ms 13952 KB Output is correct
5 Correct 54 ms 14072 KB Output is correct
6 Correct 88 ms 13984 KB Output is correct
7 Correct 90 ms 14112 KB Output is correct
8 Correct 89 ms 13952 KB Output is correct
9 Correct 90 ms 13980 KB Output is correct
10 Correct 90 ms 14080 KB Output is correct
11 Correct 90 ms 13980 KB Output is correct
12 Correct 89 ms 14072 KB Output is correct
13 Correct 89 ms 13952 KB Output is correct
14 Correct 88 ms 13980 KB Output is correct
15 Correct 88 ms 13928 KB Output is correct
16 Correct 23 ms 13696 KB Output is correct
17 Correct 24 ms 13696 KB Output is correct
18 Correct 25 ms 13696 KB Output is correct
19 Correct 26 ms 13696 KB Output is correct
20 Correct 23 ms 13696 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 13952 KB Output is correct
2 Correct 54 ms 13952 KB Output is correct
3 Correct 55 ms 13952 KB Output is correct
4 Correct 52 ms 13952 KB Output is correct
5 Correct 54 ms 14072 KB Output is correct
6 Correct 88 ms 13984 KB Output is correct
7 Correct 90 ms 14112 KB Output is correct
8 Correct 89 ms 13952 KB Output is correct
9 Correct 90 ms 13980 KB Output is correct
10 Correct 90 ms 14080 KB Output is correct
11 Correct 90 ms 13980 KB Output is correct
12 Correct 89 ms 14072 KB Output is correct
13 Correct 89 ms 13952 KB Output is correct
14 Correct 88 ms 13980 KB Output is correct
15 Correct 88 ms 13928 KB Output is correct
16 Correct 23 ms 13696 KB Output is correct
17 Correct 24 ms 13696 KB Output is correct
18 Correct 25 ms 13696 KB Output is correct
19 Correct 26 ms 13696 KB Output is correct
20 Correct 23 ms 13696 KB Output is correct
21 Incorrect 1446 ms 17088 KB Output isn't correct
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Runtime error 27 ms 28024 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 13952 KB Output is correct
2 Correct 54 ms 13952 KB Output is correct
3 Correct 55 ms 13952 KB Output is correct
4 Correct 52 ms 13952 KB Output is correct
5 Correct 54 ms 14072 KB Output is correct
6 Correct 88 ms 13984 KB Output is correct
7 Correct 90 ms 14112 KB Output is correct
8 Correct 89 ms 13952 KB Output is correct
9 Correct 90 ms 13980 KB Output is correct
10 Correct 90 ms 14080 KB Output is correct
11 Correct 90 ms 13980 KB Output is correct
12 Correct 89 ms 14072 KB Output is correct
13 Correct 89 ms 13952 KB Output is correct
14 Correct 88 ms 13980 KB Output is correct
15 Correct 88 ms 13928 KB Output is correct
16 Correct 23 ms 13696 KB Output is correct
17 Correct 24 ms 13696 KB Output is correct
18 Correct 25 ms 13696 KB Output is correct
19 Correct 26 ms 13696 KB Output is correct
20 Correct 23 ms 13696 KB Output is correct
21 Incorrect 1446 ms 17088 KB Output isn't correct
22 Halted 0 ms 0 KB -