Submission #412470

# Submission time Handle Problem Language Result Execution time Memory
412470 2021-05-27T00:31:37 Z rqi Naan (JOI19_naan) C++14
29 / 100
2366 ms 92092 KB
#include <bits/stdc++.h>
using namespace std;

typedef vector<int> vi;
typedef long long ll;

#define pb push_back

const int MOD = 1e9+7;
const int mx = 2005;


ll GCD(ll a, ll b){
	a = abs(a); b = abs(b);
	if(a == 0) return b;
	if(b == 0) return a;
	return GCD(b%a, a);
}

struct frac{
	ll n, d;
	frac(){
		n = 0;
		d = 1;
	}
	frac(ll _n, ll _d){
		if(_d < 0){
			_n*=-1;
			_d*=-1;
		}
		assert(_d >= 1);
		ll g = GCD(_n, _d);
		n = _n/g;
		d = _d/g;
	}
	frac(ll _n){
		n = _n;
		d = 1;
	}
};

frac operator+(frac a, frac b){
	return frac(a.n*b.d+b.n*a.d, a.d*b.d);
}

frac& operator+=(frac& a, frac b){
	a = a+b;
	return a;
}

frac operator-(frac a, frac b){
	b.n*=-1;
	return a+b;
}

frac operator/(frac a, frac b){
	return frac(a.n*b.d, a.d*b.n);
}

void print(frac a){
	cout << a.n << "/" << a.d << " ";
}

bool isEqual(frac a, frac b){
	return a.n*b.d == b.n*a.d;
}

bool isLess(frac a, frac b){
	return a.n*b.d < b.n*a.d;
}

int N, L;
ll V[mx][mx];
frac poses[mx][mx]; //person i, j/N fraction
bool used[mx];

int main(){
	cin.tie(0)->sync_with_stdio(0);
	cin >> N >> L;
	for(int i = 1; i <= N; i++){
		for(int j = 1; j <= L; j++){
			cin >> V[i][j];
		}
	}

	for(int i = 1; i <= N; i++){
		//cout << "i: " << i << "\n";
		ll weight_sum = 0;
		for(int j = 1; j <= L; j++){
			weight_sum+=V[i][j];
		}
		int cur_eaten = 0; //current prefix eaten
		frac cur_happy = frac(0);
		for(int j = 1; j <= N; j++){
			//cout << "j: " << j << "\n";
			while(cur_eaten+1 <= L){

				if(isLess(cur_happy+frac(V[i][cur_eaten+1], weight_sum), frac(j, N))){
					cur_happy+=frac(V[i][cur_eaten+1], weight_sum);
					cur_eaten++;
					// cout << "cur_eaten: " << cur_eaten << "\n";
					// print(cur_happy);
					// cout << "\n";
				}
				else{
					break;
				}
			}
			assert(cur_eaten < L);
			poses[i][j] = frac(cur_eaten)+(frac(j, N)-cur_happy)/(frac(V[i][cur_eaten+1], weight_sum));
		}
	}

	// for(int i = 1; i <= N; i++){
	// 	for(int j = 1; j <= N; j++){
	// 		cout << i << " " << j << " ";
	// 		print(poses[i][j]);
	// 		cout << "\n";
	// 	}
	// }
	vi perm;
	for(int i = 1; i <= N; i++){
		frac earliest = frac(MOD, 1);
		for(int j = 1; j <= N; j++){
			if(used[j]) continue; 
			if(isLess(poses[j][i], earliest)){
				earliest = poses[j][i];
			}
		}
		if(i <= N-1){
			cout << earliest.n << " " << earliest.d << "\n";
		}
		
		for(int j = 1; j <= N; j++){
			if(used[j]) continue; 
			if(isEqual(poses[j][i], earliest)){
				perm.pb(j);
				used[j] = 1;
				break;
			}
		}
	}

	for(auto u: perm){
		cout << u << " ";
	}
	cout << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 29 ms 63172 KB Output is correct
2 Correct 29 ms 63236 KB Output is correct
3 Correct 31 ms 63244 KB Output is correct
4 Correct 31 ms 63316 KB Output is correct
5 Correct 30 ms 63252 KB Output is correct
6 Correct 29 ms 63212 KB Output is correct
7 Correct 30 ms 63172 KB Output is correct
8 Correct 29 ms 63284 KB Output is correct
9 Correct 29 ms 63224 KB Output is correct
10 Correct 30 ms 63180 KB Output is correct
11 Correct 30 ms 63300 KB Output is correct
12 Correct 30 ms 63392 KB Output is correct
13 Correct 31 ms 63308 KB Output is correct
14 Correct 31 ms 63272 KB Output is correct
15 Correct 30 ms 63268 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 30 ms 63288 KB Output is correct
2 Correct 33 ms 63308 KB Output is correct
3 Correct 31 ms 63308 KB Output is correct
4 Correct 32 ms 63328 KB Output is correct
5 Correct 31 ms 63284 KB Output is correct
6 Correct 30 ms 63272 KB Output is correct
7 Correct 30 ms 63248 KB Output is correct
8 Correct 33 ms 63308 KB Output is correct
9 Correct 32 ms 63276 KB Output is correct
10 Correct 31 ms 63356 KB Output is correct
11 Correct 31 ms 63268 KB Output is correct
12 Correct 31 ms 63260 KB Output is correct
13 Correct 31 ms 63308 KB Output is correct
14 Correct 33 ms 63264 KB Output is correct
15 Correct 32 ms 63256 KB Output is correct
16 Correct 32 ms 63260 KB Output is correct
17 Correct 32 ms 63352 KB Output is correct
18 Correct 32 ms 63264 KB Output is correct
19 Correct 32 ms 63300 KB Output is correct
20 Correct 32 ms 63276 KB Output is correct
21 Correct 32 ms 63276 KB Output is correct
22 Correct 32 ms 63336 KB Output is correct
23 Correct 30 ms 63244 KB Output is correct
24 Correct 32 ms 63292 KB Output is correct
25 Correct 31 ms 63252 KB Output is correct
26 Correct 30 ms 63184 KB Output is correct
27 Correct 32 ms 63300 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 29 ms 63172 KB Output is correct
2 Correct 29 ms 63236 KB Output is correct
3 Correct 31 ms 63244 KB Output is correct
4 Correct 31 ms 63316 KB Output is correct
5 Correct 30 ms 63252 KB Output is correct
6 Correct 29 ms 63212 KB Output is correct
7 Correct 30 ms 63172 KB Output is correct
8 Correct 29 ms 63284 KB Output is correct
9 Correct 29 ms 63224 KB Output is correct
10 Correct 30 ms 63180 KB Output is correct
11 Correct 30 ms 63300 KB Output is correct
12 Correct 30 ms 63392 KB Output is correct
13 Correct 31 ms 63308 KB Output is correct
14 Correct 31 ms 63272 KB Output is correct
15 Correct 30 ms 63268 KB Output is correct
16 Correct 30 ms 63288 KB Output is correct
17 Correct 33 ms 63308 KB Output is correct
18 Correct 31 ms 63308 KB Output is correct
19 Correct 32 ms 63328 KB Output is correct
20 Correct 31 ms 63284 KB Output is correct
21 Correct 30 ms 63272 KB Output is correct
22 Correct 30 ms 63248 KB Output is correct
23 Correct 33 ms 63308 KB Output is correct
24 Correct 32 ms 63276 KB Output is correct
25 Correct 31 ms 63356 KB Output is correct
26 Correct 31 ms 63268 KB Output is correct
27 Correct 31 ms 63260 KB Output is correct
28 Correct 31 ms 63308 KB Output is correct
29 Correct 33 ms 63264 KB Output is correct
30 Correct 32 ms 63256 KB Output is correct
31 Correct 32 ms 63260 KB Output is correct
32 Correct 32 ms 63352 KB Output is correct
33 Correct 32 ms 63264 KB Output is correct
34 Correct 32 ms 63300 KB Output is correct
35 Correct 32 ms 63276 KB Output is correct
36 Correct 32 ms 63276 KB Output is correct
37 Correct 32 ms 63336 KB Output is correct
38 Correct 30 ms 63244 KB Output is correct
39 Correct 32 ms 63292 KB Output is correct
40 Correct 31 ms 63252 KB Output is correct
41 Correct 30 ms 63184 KB Output is correct
42 Correct 32 ms 63300 KB Output is correct
43 Correct 404 ms 69104 KB Output is correct
44 Incorrect 2366 ms 92092 KB X_i is not increasing
45 Halted 0 ms 0 KB -