oj.uz

Submission #268722

# Submission time Handle Problem Language Result Execution time Memory
268722 2020-08-16T21:22:25 Z test2 Boat (APIO16_boat) C++14
9 / 100
 2000 ms 9216 KB 
#include<bits/stdc++.h>

#define I inline void 

using ll = int ; 
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){
	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 51 ms 4736 KB Output is correct
2 Correct 52 ms 4608 KB Output is correct
3 Correct 50 ms 4608 KB Output is correct
4 Correct 50 ms 4608 KB Output is correct
5 Correct 52 ms 4608 KB Output is correct
6 Correct 85 ms 4720 KB Output is correct
7 Correct 86 ms 4608 KB Output is correct
8 Correct 85 ms 4608 KB Output is correct
9 Correct 92 ms 4720 KB Output is correct
10 Correct 85 ms 4720 KB Output is correct
11 Correct 86 ms 4736 KB Output is correct
12 Correct 86 ms 4608 KB Output is correct
13 Correct 88 ms 4728 KB Output is correct
14 Correct 88 ms 4728 KB Output is correct
15 Correct 85 ms 4608 KB Output is correct
16 Correct 45 ms 4480 KB Output is correct
17 Correct 43 ms 4480 KB Output is correct
18 Correct 43 ms 4600 KB Output is correct
19 Correct 42 ms 4480 KB Output is correct
20 Correct 44 ms 4480 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 4736 KB Output is correct
2 Correct 52 ms 4608 KB Output is correct
3 Correct 50 ms 4608 KB Output is correct
4 Correct 50 ms 4608 KB Output is correct
5 Correct 52 ms 4608 KB Output is correct
6 Correct 85 ms 4720 KB Output is correct
7 Correct 86 ms 4608 KB Output is correct
8 Correct 85 ms 4608 KB Output is correct
9 Correct 92 ms 4720 KB Output is correct
10 Correct 85 ms 4720 KB Output is correct
11 Correct 86 ms 4736 KB Output is correct
12 Correct 86 ms 4608 KB Output is correct
13 Correct 88 ms 4728 KB Output is correct
14 Correct 88 ms 4728 KB Output is correct
15 Correct 85 ms 4608 KB Output is correct
16 Correct 45 ms 4480 KB Output is correct
17 Correct 43 ms 4480 KB Output is correct
18 Correct 43 ms 4600 KB Output is correct
19 Correct 42 ms 4480 KB Output is correct
20 Correct 44 ms 4480 KB Output is correct
21 Execution timed out 2085 ms 7808 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Runtime error 10 ms 9216 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 51 ms 4736 KB Output is correct
2 Correct 52 ms 4608 KB Output is correct
3 Correct 50 ms 4608 KB Output is correct
4 Correct 50 ms 4608 KB Output is correct
5 Correct 52 ms 4608 KB Output is correct
6 Correct 85 ms 4720 KB Output is correct
7 Correct 86 ms 4608 KB Output is correct
8 Correct 85 ms 4608 KB Output is correct
9 Correct 92 ms 4720 KB Output is correct
10 Correct 85 ms 4720 KB Output is correct
11 Correct 86 ms 4736 KB Output is correct
12 Correct 86 ms 4608 KB Output is correct
13 Correct 88 ms 4728 KB Output is correct
14 Correct 88 ms 4728 KB Output is correct
15 Correct 85 ms 4608 KB Output is correct
16 Correct 45 ms 4480 KB Output is correct
17 Correct 43 ms 4480 KB Output is correct
18 Correct 43 ms 4600 KB Output is correct
19 Correct 42 ms 4480 KB Output is correct
20 Correct 44 ms 4480 KB Output is correct
21 Execution timed out 2085 ms 7808 KB Time limit exceeded
22 Halted 0 ms 0 KB -