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Submission #351304

# Submission time Handle Problem Language Result Execution time Memory
351304 2021-01-19T23:49:51 Z AmineWeslati Boat (APIO16_boat) C++14
9 / 100
 2000 ms 10220 KB 
//Never stop trying
#include "bits/stdc++.h"
using namespace std;
#define boost ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)

typedef long long ll;
#define int ll
typedef string str;
typedef long double ld;
typedef pair<int, int> pi;
#define fi first
#define se second
typedef vector<int> vi;
typedef vector<pi> vpi;
#define pb push_back
#define eb emplace_back
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define endl "\n"
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)

const int MOD = 1e9 + 7; //998244353
const ll INF = 1e18;
const int MX = 1000 + 10;
const int nx[4] = {0, 0, 1, -1}, ny[4] = {1, -1, 0, 0}; //right left down up

template<class T> using V = vector<T>;
template<class T> bool ckmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
ll cdiv(ll a, ll b) { return a / b + ((a ^ b) > 0 && a % b); } // divide a by b rounded up
//constexpr int log2(int x) { return 31 - __builtin_clz(x); } // floor(log2(x))

mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
//mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count());
ll random(ll a, ll b){
    return a + rng() % (b - a + 1);
}
#ifndef LOCAL  
#define cerr if(false) cerr
#endif
#define dbg(x) cerr << #x << " : " << x << endl; 
#define dbgs(x,y) cerr << #x << " : " << x << " / " << #y << " : " << y << endl;
#define dbgv(v) cerr << #v << " : " << "[ "; for(auto it : v) cerr << it << ' '; cerr << ']' << endl;
#define here() cerr << "here" << endl;

void IO() {
#ifdef LOCAL
    freopen("input.txt", "r", stdin); 
    freopen("output.txt", "w", stdout);
#endif
}
/////////////////////////ONLY CLEAN CODES ALLOWED/////////////////////////

int N; 
vpi vec;
vi v[MX],c(MX);
int memo[MX][MX];

int modpow(int x, int p){
	if(!p) return 1;
	int v=modpow(x,p/2);
	v*=v; v%=MOD;
	if(p%2==1) v*=x,v%=MOD;

	return v;
}
int modinv(int x){
	return modpow(x,MOD-2);
}

int C(int n, int k){
	if(k>n) return 0;
	int ans=1;
	FOR(i,1,n+1) ans*=i,ans%=MOD;
	FOR(i,1,k+1) ans*=modinv(i),ans%=MOD; 
	FOR(i,1,n-k+1) ans*=modinv(i),ans%=MOD;

	return ans;
}

int solve(int i, int mx){
	if(i==N*2-1){
		if(!mx) return 0;
		return 1;
	}

	int &ind=memo[i][mx];
	if(ind!=-1) return ind;

	int ans=solve(i+1,mx);
	int cnt=0;
	for(auto j: v[i]) if(j>mx){
		cnt++;

		int val=0;
		FOR(n,1,cnt+1) val+=C(c[i],n),val%=MOD;

		ans+=(solve(i+1,j)*val)%MOD;
		ans%=MOD;
	}
	return ind=ans;
}

int32_t main() {
    boost; IO();

    cin>>N;
    FOR(i,1,N+1){
    	int l,r; cin>>l>>r;
    	vec.eb(l,i);
    	vec.eb(r+1,-i);	
    }
    sort(all(vec));

    set<int>cur;
    FOR(i,0,sz(vec)-1){
    	int idx=vec[i].se;
    	if(idx>0) cur.insert(idx);
    	else cur.erase(-idx);

    	for(auto y: cur) v[i].pb(y);
    	c[i]=vec[i+1].fi-vec[i].fi;
    }

    memset(memo,-1,sizeof(memo));
    cout << solve(0,0) << endl;

    return 0;
}
//Change your approach

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 8556 KB Output is correct
2 Correct 31 ms 8556 KB Output is correct
3 Correct 31 ms 8556 KB Output is correct
4 Correct 30 ms 8556 KB Output is correct
5 Correct 32 ms 8556 KB Output is correct
6 Correct 48 ms 8684 KB Output is correct
7 Correct 48 ms 8556 KB Output is correct
8 Correct 47 ms 8556 KB Output is correct
9 Correct 47 ms 8576 KB Output is correct
10 Correct 47 ms 8556 KB Output is correct
11 Correct 50 ms 8556 KB Output is correct
12 Correct 47 ms 8556 KB Output is correct
13 Correct 47 ms 8556 KB Output is correct
14 Correct 47 ms 8576 KB Output is correct
15 Correct 47 ms 8556 KB Output is correct
16 Correct 39 ms 8620 KB Output is correct
17 Correct 37 ms 8556 KB Output is correct
18 Correct 37 ms 8556 KB Output is correct
19 Correct 36 ms 8576 KB Output is correct
20 Correct 38 ms 8556 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 8556 KB Output is correct
2 Correct 31 ms 8556 KB Output is correct
3 Correct 31 ms 8556 KB Output is correct
4 Correct 30 ms 8556 KB Output is correct
5 Correct 32 ms 8556 KB Output is correct
6 Correct 48 ms 8684 KB Output is correct
7 Correct 48 ms 8556 KB Output is correct
8 Correct 47 ms 8556 KB Output is correct
9 Correct 47 ms 8576 KB Output is correct
10 Correct 47 ms 8556 KB Output is correct
11 Correct 50 ms 8556 KB Output is correct
12 Correct 47 ms 8556 KB Output is correct
13 Correct 47 ms 8556 KB Output is correct
14 Correct 47 ms 8576 KB Output is correct
15 Correct 47 ms 8556 KB Output is correct
16 Correct 39 ms 8620 KB Output is correct
17 Correct 37 ms 8556 KB Output is correct
18 Correct 37 ms 8556 KB Output is correct
19 Correct 36 ms 8576 KB Output is correct
20 Correct 38 ms 8556 KB Output is correct
21 Execution timed out 2067 ms 10220 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2080 ms 8428 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 8556 KB Output is correct
2 Correct 31 ms 8556 KB Output is correct
3 Correct 31 ms 8556 KB Output is correct
4 Correct 30 ms 8556 KB Output is correct
5 Correct 32 ms 8556 KB Output is correct
6 Correct 48 ms 8684 KB Output is correct
7 Correct 48 ms 8556 KB Output is correct
8 Correct 47 ms 8556 KB Output is correct
9 Correct 47 ms 8576 KB Output is correct
10 Correct 47 ms 8556 KB Output is correct
11 Correct 50 ms 8556 KB Output is correct
12 Correct 47 ms 8556 KB Output is correct
13 Correct 47 ms 8556 KB Output is correct
14 Correct 47 ms 8576 KB Output is correct
15 Correct 47 ms 8556 KB Output is correct
16 Correct 39 ms 8620 KB Output is correct
17 Correct 37 ms 8556 KB Output is correct
18 Correct 37 ms 8556 KB Output is correct
19 Correct 36 ms 8576 KB Output is correct
20 Correct 38 ms 8556 KB Output is correct
21 Execution timed out 2067 ms 10220 KB Time limit exceeded
22 Halted 0 ms 0 KB -