이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
#define all(x) begin(x), end(x)
#define kill(x) return cout << x << '\n', 0
#define fst first
#define snd second
void assume(int expr) {
if (!expr) __builtin_unreachable();
}
constexpr int N = 2010;
struct Ratio {
ll c = 0, x = 0, y = 1;
Ratio(ll c) : c(c), x(0), y(1) {}
Ratio(ll c, ll x, ll y) : c(c), x(x), y(y) {
c += (x / y);
x -= y * (x / y);
norm();
}
void norm() {
ll g = __gcd(x, y);
x /= g;
y /= g;
}
Ratio operator+(Ratio const& r) const {
return Ratio{c + r.c, x * r.y + r.x * y, y * r.y};
}
bool operator<(Ratio const& r) const {
if (c != r.c)
return c < r.c;
return x * r.y < y * r.x;
}
void show() const {
ll p = c * y + x, q = y;
cout << p << ' ' << q << '\n';
}
};
int n, L, P[N];
ll V[N][N];
vector<pair<Ratio, int>> E[N];
vector<Ratio> ans;
bitset<N> mark;
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
cin >> n >> L;
for (int i = 0; i < n; i++) {
ll S = 0;
vector<ll> vec;
vec.reserve(L+1);
vec.push_back(0);
for (int j = 0; j < L; j++) {
cin >> V[i][j];
S += V[i][j];
vec.push_back(S * n);
}
for (int j = 1; j <= n; j++) {
ll x = S * j;
int k = upper_bound(all(vec), x) - begin(vec);
k--;
Ratio start = k;
x -= vec[k];
if (k < L)
start = start + Ratio{0, x, n * V[i][k]};
E[j].emplace_back(start, i);
}
}
fill(all(P), -1);
for (int i = 1; i <= n; i++) {
sort(all(E[i]));
for (auto const& e : E[i]) {
if (mark[e.snd])
continue;
if (!ans.empty() && e.fst < ans.back())
continue;
P[i] = e.snd;
ans.push_back(e.fst);
mark[e.snd] = true;
break;
}
}
for (int i = 0; i < n-1; i++) {
ans[i].show();
}
for (int i = 1; i <= n; i++) {
cout << P[i]+1 << ' ';
}
cout << '\n';
return 0;
}
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