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Submission #268718

# Submission time Handle Problem Language Result Execution time Memory
268718 2020-08-16T21:09:57 Z test2 Boat (APIO16_boat) C++14
9 / 100
 2000 ms 21368 KB 
#include<bits/stdc++.h>

#define I inline void 

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

using namespace std ; 

const int N = 2500 + 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 ] ; 
std::vector<int> szs[N];

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] , ++ k  )  )  %mod ; 
			else{
				add = (add + ncr( k , sz[i] - 1 ) - 1 + mod ) %mod ; 
				k++ ; 
			}
			
			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}) ;

		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 ++ ; 
	}

	assert(((int) st.size() < 2000)); 

	cout<< (mod + solve(0 ,  0 ) -1 ) %mod ; 
	return 0 ; 
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 10624 KB Output is correct
2 Correct 50 ms 10700 KB Output is correct
3 Correct 52 ms 10624 KB Output is correct
4 Correct 49 ms 10624 KB Output is correct
5 Correct 51 ms 10696 KB Output is correct
6 Correct 84 ms 10736 KB Output is correct
7 Correct 82 ms 10624 KB Output is correct
8 Correct 88 ms 10696 KB Output is correct
9 Correct 81 ms 10624 KB Output is correct
10 Correct 82 ms 10704 KB Output is correct
11 Correct 95 ms 10624 KB Output is correct
12 Correct 81 ms 10624 KB Output is correct
13 Correct 82 ms 10624 KB Output is correct
14 Correct 82 ms 10624 KB Output is correct
15 Correct 82 ms 10624 KB Output is correct
16 Correct 43 ms 10496 KB Output is correct
17 Correct 45 ms 10624 KB Output is correct
18 Correct 42 ms 10496 KB Output is correct
19 Correct 51 ms 10496 KB Output is correct
20 Correct 43 ms 10496 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 10624 KB Output is correct
2 Correct 50 ms 10700 KB Output is correct
3 Correct 52 ms 10624 KB Output is correct
4 Correct 49 ms 10624 KB Output is correct
5 Correct 51 ms 10696 KB Output is correct
6 Correct 84 ms 10736 KB Output is correct
7 Correct 82 ms 10624 KB Output is correct
8 Correct 88 ms 10696 KB Output is correct
9 Correct 81 ms 10624 KB Output is correct
10 Correct 82 ms 10704 KB Output is correct
11 Correct 95 ms 10624 KB Output is correct
12 Correct 81 ms 10624 KB Output is correct
13 Correct 82 ms 10624 KB Output is correct
14 Correct 82 ms 10624 KB Output is correct
15 Correct 82 ms 10624 KB Output is correct
16 Correct 43 ms 10496 KB Output is correct
17 Correct 45 ms 10624 KB Output is correct
18 Correct 42 ms 10496 KB Output is correct
19 Correct 51 ms 10496 KB Output is correct
20 Correct 43 ms 10496 KB Output is correct
21 Execution timed out 2080 ms 13824 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Runtime error 21 ms 21368 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 50 ms 10624 KB Output is correct
2 Correct 50 ms 10700 KB Output is correct
3 Correct 52 ms 10624 KB Output is correct
4 Correct 49 ms 10624 KB Output is correct
5 Correct 51 ms 10696 KB Output is correct
6 Correct 84 ms 10736 KB Output is correct
7 Correct 82 ms 10624 KB Output is correct
8 Correct 88 ms 10696 KB Output is correct
9 Correct 81 ms 10624 KB Output is correct
10 Correct 82 ms 10704 KB Output is correct
11 Correct 95 ms 10624 KB Output is correct
12 Correct 81 ms 10624 KB Output is correct
13 Correct 82 ms 10624 KB Output is correct
14 Correct 82 ms 10624 KB Output is correct
15 Correct 82 ms 10624 KB Output is correct
16 Correct 43 ms 10496 KB Output is correct
17 Correct 45 ms 10624 KB Output is correct
18 Correct 42 ms 10496 KB Output is correct
19 Correct 51 ms 10496 KB Output is correct
20 Correct 43 ms 10496 KB Output is correct
21 Execution timed out 2080 ms 13824 KB Time limit exceeded
22 Halted 0 ms 0 KB -