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Submission #268719

# Submission time Handle Problem Language Result Execution time Memory
268719 2020-08-16T21:13:44 Z test2 Boat (APIO16_boat) C++14
9 / 100
 2000 ms 17316 KB 
#include<bits/stdc++.h>

#define I inline void 

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

using namespace std ; 

const int N = 2000 + 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 49 ms 8704 KB Output is correct
2 Correct 51 ms 8696 KB Output is correct
3 Correct 49 ms 8692 KB Output is correct
4 Correct 47 ms 8704 KB Output is correct
5 Correct 49 ms 8704 KB Output is correct
6 Correct 95 ms 8696 KB Output is correct
7 Correct 81 ms 8704 KB Output is correct
8 Correct 82 ms 8704 KB Output is correct
9 Correct 82 ms 8704 KB Output is correct
10 Correct 86 ms 8704 KB Output is correct
11 Correct 86 ms 8704 KB Output is correct
12 Correct 92 ms 8576 KB Output is correct
13 Correct 80 ms 8704 KB Output is correct
14 Correct 84 ms 8696 KB Output is correct
15 Correct 86 ms 8824 KB Output is correct
16 Correct 43 ms 8448 KB Output is correct
17 Correct 47 ms 8448 KB Output is correct
18 Correct 44 ms 8448 KB Output is correct
19 Correct 41 ms 8448 KB Output is correct
20 Correct 43 ms 8448 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 8704 KB Output is correct
2 Correct 51 ms 8696 KB Output is correct
3 Correct 49 ms 8692 KB Output is correct
4 Correct 47 ms 8704 KB Output is correct
5 Correct 49 ms 8704 KB Output is correct
6 Correct 95 ms 8696 KB Output is correct
7 Correct 81 ms 8704 KB Output is correct
8 Correct 82 ms 8704 KB Output is correct
9 Correct 82 ms 8704 KB Output is correct
10 Correct 86 ms 8704 KB Output is correct
11 Correct 86 ms 8704 KB Output is correct
12 Correct 92 ms 8576 KB Output is correct
13 Correct 80 ms 8704 KB Output is correct
14 Correct 84 ms 8696 KB Output is correct
15 Correct 86 ms 8824 KB Output is correct
16 Correct 43 ms 8448 KB Output is correct
17 Correct 47 ms 8448 KB Output is correct
18 Correct 44 ms 8448 KB Output is correct
19 Correct 41 ms 8448 KB Output is correct
20 Correct 43 ms 8448 KB Output is correct
21 Execution timed out 2075 ms 11804 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Runtime error 17 ms 17316 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 49 ms 8704 KB Output is correct
2 Correct 51 ms 8696 KB Output is correct
3 Correct 49 ms 8692 KB Output is correct
4 Correct 47 ms 8704 KB Output is correct
5 Correct 49 ms 8704 KB Output is correct
6 Correct 95 ms 8696 KB Output is correct
7 Correct 81 ms 8704 KB Output is correct
8 Correct 82 ms 8704 KB Output is correct
9 Correct 82 ms 8704 KB Output is correct
10 Correct 86 ms 8704 KB Output is correct
11 Correct 86 ms 8704 KB Output is correct
12 Correct 92 ms 8576 KB Output is correct
13 Correct 80 ms 8704 KB Output is correct
14 Correct 84 ms 8696 KB Output is correct
15 Correct 86 ms 8824 KB Output is correct
16 Correct 43 ms 8448 KB Output is correct
17 Correct 47 ms 8448 KB Output is correct
18 Correct 44 ms 8448 KB Output is correct
19 Correct 41 ms 8448 KB Output is correct
20 Correct 43 ms 8448 KB Output is correct
21 Execution timed out 2075 ms 11804 KB Time limit exceeded
22 Halted 0 ms 0 KB -