Submission #123969

#	Time	Username	Problem	Language	Result	Execution time	Memory
123969		onjo0127	Naan (JOI19_naan)	C++11	29 / 100	57 ms	10872 KiB

naan

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pll = pair<ll, ll>;
#define X first
#define Y second
 
const pll INF = {1e9, 1};
int N, L, V[2009][2009], A[2009];
pll D[2009][2009];
 
bool operator <(pll P, pll Q) {
	return 1LL * P.X * Q.Y < 1LL * Q.X * P.Y;
}

pll f(ll a, ll b) {
	ll gcd = __gcd(a, b);
	return {a / gcd, b / gcd};
}
 
pll R(int i, pll st) {
	if(st >= INF) return INF;
	ll div = st.X / st.Y, mod = st.X % st.Y, lft = st.Y - mod;
	ll a, b;
	// lft / st.Y * V[i][div] >= A[i] / N
	if(1LL * lft * V[i][div] * N >= 1LL * A[i] * st.Y) {
		// ((a / b) - (st.X / st.Y)) * V[i][div] == A[i] / N
		// ((a / b) - (st.X / st.Y)) * V[i][div] * N == A[i]
		// (a / b) * V[i][div] * N - (st.X / st.Y) * V[i][div] * N == A[i]
		// (a / b) * V[i][div] * N * st.Y - st.X * V[i][div] * N == A[i] * st.Y
		// (a / b) * V[i][div] * N * st.Y = st.X * V[i][div] * N + A[i] * st.Y
		a = 1LL * st.X * V[i][div] * N + 1LL * A[i] * st.Y;
		b = 1LL * V[i][div] * N * st.Y;
		return f(a, b);
	}
	else {
		ll sa, sb;
		sa = 1LL * lft * V[i][div]; sb = st.Y;
		tie(sa, sb) = f(sa, sb);
		for(int j=div+1; j<L; j++) {
			// sa / sb + V[i][j] >= A[i] / N
			if(1LL * sa * N + 1LL * V[i][j] * sb * N >= 1LL * A[i] * sb) {
				// (a / b) * V[i][j] + (sa / sb) == A[i] / N
				// a/b * V[i][j] * sb * N + sa * N == A[i] * sb
				// a/b * V[i][j] * sb * N == A[i] * sb - sa * N;
				b = 1LL * V[i][j] * sb * N;
				a = 1LL * b * j + 1LL * A[i] * sb - 1LL * sa * N;
				return f(a, b);
			}
			sa += 1LL * sb * V[i][j];
			tie(sa, sb) = f(sa, sb);
		}
	}
	return INF;
}

bool chk[2009];

int main() {
	scanf("%d%d",&N,&L);
	for(int i=1; i<=N; i++) {
		for(int j=0; j<L; j++) {
			scanf("%d",&V[i][j]);
			A[i] += V[i][j];
		}
		pll now = {0, 1};
		for(int j=0; j<N; j++) {
			now = R(i, now);
			D[i][j] = now;
		}
	}
	vector<pll> pos; vector<int> P;
	for(int i=0; i<N; i++) {
		pll mn = INF; int mni = -1;
		for(int j=1; j<=N; j++) if(!chk[j]) {
			if(D[j][i] < mn) {
				mn = D[j][i];
				mni = j;
			}
		}
		pos.push_back(mn);
		P.push_back(mni);
		chk[mni] = 1;
	}
	for(int i=0; i<N-1; i++) printf("%lld %lld\n", pos[i].X, pos[i].Y);
	for(auto& it: P) printf("%d ", it);
	return 0;
}

Compilation message (stderr)

naan.cpp: In function 'int main()':
naan.cpp:60:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d%d",&N,&L);
  ~~~~~^~~~~~~~~~~~~~
naan.cpp:63:9: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
    scanf("%d",&V[i][j]);
    ~~~~~^~~~~~~~~~~~~~~

• Subtask 1: 5 / 5
• Subtask 2: 24 / 24
• Subtask 3: 0 / 71