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Submission #268716

# Submission time Handle Problem Language Result Execution time Memory
268716 2020-08-16T21:08:26 Z test2 Boat (APIO16_boat) C++14
9 / 100
 85 ms 19072 KB 
#include<bits/stdc++.h>

#define I inline void 

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

using namespace std ; 

const int N = 1500 + 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 ++ ; 
	}

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

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 6656 KB Output is correct
2 Correct 54 ms 6776 KB Output is correct
3 Correct 50 ms 6696 KB Output is correct
4 Correct 49 ms 6656 KB Output is correct
5 Correct 50 ms 6656 KB Output is correct
6 Correct 83 ms 6776 KB Output is correct
7 Correct 85 ms 6656 KB Output is correct
8 Correct 81 ms 6656 KB Output is correct
9 Correct 81 ms 6656 KB Output is correct
10 Correct 82 ms 6776 KB Output is correct
11 Correct 84 ms 6656 KB Output is correct
12 Correct 82 ms 6656 KB Output is correct
13 Correct 83 ms 6656 KB Output is correct
14 Correct 83 ms 6692 KB Output is correct
15 Correct 82 ms 6656 KB Output is correct
16 Correct 45 ms 6488 KB Output is correct
17 Correct 42 ms 6400 KB Output is correct
18 Correct 41 ms 6400 KB Output is correct
19 Correct 41 ms 6400 KB Output is correct
20 Correct 43 ms 6492 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 6656 KB Output is correct
2 Correct 54 ms 6776 KB Output is correct
3 Correct 50 ms 6696 KB Output is correct
4 Correct 49 ms 6656 KB Output is correct
5 Correct 50 ms 6656 KB Output is correct
6 Correct 83 ms 6776 KB Output is correct
7 Correct 85 ms 6656 KB Output is correct
8 Correct 81 ms 6656 KB Output is correct
9 Correct 81 ms 6656 KB Output is correct
10 Correct 82 ms 6776 KB Output is correct
11 Correct 84 ms 6656 KB Output is correct
12 Correct 82 ms 6656 KB Output is correct
13 Correct 83 ms 6656 KB Output is correct
14 Correct 83 ms 6692 KB Output is correct
15 Correct 82 ms 6656 KB Output is correct
16 Correct 45 ms 6488 KB Output is correct
17 Correct 42 ms 6400 KB Output is correct
18 Correct 41 ms 6400 KB Output is correct
19 Correct 41 ms 6400 KB Output is correct
20 Correct 43 ms 6492 KB Output is correct
21 Runtime error 27 ms 19072 KB Execution killed with signal 11
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Runtime error 13 ms 13184 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 52 ms 6656 KB Output is correct
2 Correct 54 ms 6776 KB Output is correct
3 Correct 50 ms 6696 KB Output is correct
4 Correct 49 ms 6656 KB Output is correct
5 Correct 50 ms 6656 KB Output is correct
6 Correct 83 ms 6776 KB Output is correct
7 Correct 85 ms 6656 KB Output is correct
8 Correct 81 ms 6656 KB Output is correct
9 Correct 81 ms 6656 KB Output is correct
10 Correct 82 ms 6776 KB Output is correct
11 Correct 84 ms 6656 KB Output is correct
12 Correct 82 ms 6656 KB Output is correct
13 Correct 83 ms 6656 KB Output is correct
14 Correct 83 ms 6692 KB Output is correct
15 Correct 82 ms 6656 KB Output is correct
16 Correct 45 ms 6488 KB Output is correct
17 Correct 42 ms 6400 KB Output is correct
18 Correct 41 ms 6400 KB Output is correct
19 Correct 41 ms 6400 KB Output is correct
20 Correct 43 ms 6492 KB Output is correct
21 Runtime error 27 ms 19072 KB Execution killed with signal 11
22 Halted 0 ms 0 KB -