#include <bits/stdc++.h>
struct Frac {
long long n, d;
Frac(long long _n, long long _d) {
n = _n, d = _d;
long long g = std::__gcd(n, d); n /= g, d /= g;
if (d < 0) n *= -1, d *= -1;
}
Frac(long long _n) : Frac(_n, 1) {}
Frac() : Frac(0) {}
friend Frac abs(Frac F) { return Frac(abs(F.n), F.d); }
friend bool operator < (const Frac& l, const Frac& r) { return l.n * r.d < r.n * l.d; }
friend bool operator <= (const Frac& l, const Frac& r) { return l.n * r.d <= r.n * l.d; }
friend bool operator > (const Frac& l, const Frac& r) { return l.n * r.d > r.n * l.d; }
friend bool operator >= (const Frac& l, const Frac& r) { return l.n * r.d >= r.n * l.d; }
friend bool operator == (const Frac& l, const Frac& r) { return l.n == r.n && l.d == r.d; }
friend bool operator != (const Frac& l, const Frac& r) { return !(l == r); }
Frac operator - () const { return Frac(-n, d); }
friend Frac operator + (const Frac& l, const Frac& r) { return Frac(l.n * r.d + r.n * l.d, l.d * r.d); }
friend Frac operator - (const Frac& l, const Frac& r) { return Frac(l.n * r.d - r.n * l.d, l.d * r.d); }
friend Frac operator * (const Frac& l, const Frac& r) { return Frac(l.n * r.n, l.d * r.d); }
friend Frac operator * (const Frac& l, int r) { return l * Frac(r, 1); }
friend Frac operator * (int r, const Frac& l) { return l * r; }
friend Frac operator / (const Frac& l, const Frac& r) { return l * Frac(r.d, r.n); }
friend Frac operator / (const Frac& l, const int& r) { return l / Frac(r, 1); }
friend Frac operator / (const int& l, const Frac& r) { return Frac(l, 1) / r; }
friend Frac& operator += (Frac& l, const Frac& r) { return l = l + r; }
friend Frac& operator -= (Frac& l, const Frac& r) { return l = l - r; }
template <class T> friend Frac& operator *= (Frac& l, const T& r) { return l = l * r; }
template <class T> friend Frac& operator /= (Frac& l, const T& r) { return l = l / r; }
friend std::ostream& operator << (std::ostream& os, const Frac& a) { return os << a.n << "/" << a.d; }
};
int main() {
using namespace std;
typedef long long ll;
ios_base::sync_with_stdio(0);
int N, L;
cin >> N >> L;
vector<vector<ll>> V(N, vector<ll>(L));
for (int i = 0; i < N; i++)
for (int j = 0; j < L; j++)
cin >> V[i][j];
vector<vector<Frac>> split(N, vector<Frac>(N + 1));
for (int i = 0; i < N; i++) {
Frac need = 0;
for (int j = 0; j < L; j++)
need += V[i][j];
need /= N;
split[i][0] = 0;
Frac have = 0;
int it = 0;
Frac at = 0;
for (int j = 1; j <= N; j++) {
while (have < need) {
if (have + (1 - at) * V[i][it] <= need) {
have += (1 - at) * V[i][it];
at = 0;
it++;
} else {
Frac go = (need - have) / V[i][it];
have += go * V[i][it];
at += go;
}
}
split[i][j] = it + at;
have = 0;
}
}
const int INF = 1e9;
vector<Frac> splits(N);
vector<int> ord(N);
vector<bool> used(N);
for (int i = 1; i <= N - 1; i++) {
pair<Frac, int> best = {INF, INF};
for (int j = 0; j < N; j++)
if (!used[j])
best = min(best, {split[j][i], j});
splits[i - 1] = best.first;
ord[i - 1] = best.second;
used[best.second] = true;
}
for (int i = 0; i < N; i++) {
if (!used[i])
ord.back() = i;
}
for (int i = 0; i < N - 1; i++)
cout << splits[i].n << " " << splits[i].d << '\n', assert(splits[i].n > 0 && splits[i].d > 0);
for (int i = 0; i < N; i++)
cout << ord[i] + 1 << " ";
cout << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
2 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
2 ms |
364 KB |
Output is correct |
3 |
Correct |
2 ms |
364 KB |
Output is correct |
4 |
Correct |
2 ms |
364 KB |
Output is correct |
5 |
Correct |
2 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
3 ms |
492 KB |
Output is correct |
10 |
Correct |
2 ms |
364 KB |
Output is correct |
11 |
Correct |
2 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
2 ms |
364 KB |
Output is correct |
14 |
Correct |
2 ms |
364 KB |
Output is correct |
15 |
Correct |
2 ms |
364 KB |
Output is correct |
16 |
Correct |
2 ms |
492 KB |
Output is correct |
17 |
Correct |
2 ms |
364 KB |
Output is correct |
18 |
Correct |
3 ms |
492 KB |
Output is correct |
19 |
Correct |
3 ms |
492 KB |
Output is correct |
20 |
Correct |
2 ms |
364 KB |
Output is correct |
21 |
Correct |
3 ms |
492 KB |
Output is correct |
22 |
Correct |
3 ms |
492 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
2 ms |
364 KB |
Output is correct |
25 |
Correct |
2 ms |
364 KB |
Output is correct |
26 |
Correct |
1 ms |
364 KB |
Output is correct |
27 |
Correct |
3 ms |
364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
2 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
2 ms |
364 KB |
Output is correct |
18 |
Correct |
2 ms |
364 KB |
Output is correct |
19 |
Correct |
2 ms |
364 KB |
Output is correct |
20 |
Correct |
2 ms |
364 KB |
Output is correct |
21 |
Correct |
1 ms |
364 KB |
Output is correct |
22 |
Correct |
1 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
3 ms |
492 KB |
Output is correct |
25 |
Correct |
2 ms |
364 KB |
Output is correct |
26 |
Correct |
2 ms |
364 KB |
Output is correct |
27 |
Correct |
1 ms |
364 KB |
Output is correct |
28 |
Correct |
2 ms |
364 KB |
Output is correct |
29 |
Correct |
2 ms |
364 KB |
Output is correct |
30 |
Correct |
2 ms |
364 KB |
Output is correct |
31 |
Correct |
2 ms |
492 KB |
Output is correct |
32 |
Correct |
2 ms |
364 KB |
Output is correct |
33 |
Correct |
3 ms |
492 KB |
Output is correct |
34 |
Correct |
3 ms |
492 KB |
Output is correct |
35 |
Correct |
2 ms |
364 KB |
Output is correct |
36 |
Correct |
3 ms |
492 KB |
Output is correct |
37 |
Correct |
3 ms |
492 KB |
Output is correct |
38 |
Correct |
1 ms |
364 KB |
Output is correct |
39 |
Correct |
2 ms |
364 KB |
Output is correct |
40 |
Correct |
2 ms |
364 KB |
Output is correct |
41 |
Correct |
1 ms |
364 KB |
Output is correct |
42 |
Correct |
3 ms |
364 KB |
Output is correct |
43 |
Correct |
354 ms |
7604 KB |
Output is correct |
44 |
Incorrect |
2183 ms |
43200 KB |
X_i is not increasing |
45 |
Halted |
0 ms |
0 KB |
- |