Submission #123837

# Submission time Handle Problem Language Result Execution time Memory
123837 2019-07-02T07:46:08 Z 이온조(#3029) Naan (JOI19_naan) C++14
29 / 100
40 ms 3576 KB
#include <bits/stdc++.h>
using namespace std;
using pii = pair<int, int>;
#define X first
#define Y second

const pii INF = {1e9, 1};
int N, L, V[2009][2009], A[2009];

bool operator <(pii P, pii Q) {
	return (__int128)P.X * Q.Y < (__int128)Q.X * P.Y;
}

pii f(__int128 a, __int128 b) {
	__int128 gcd = __gcd(a, b);
	return {a / gcd, b / gcd};
}

pii R(int i, pii st) {
	if(st >= INF) return INF;
	int div = st.X / st.Y, mod = st.X % st.Y, lft = st.Y - mod;
	__int128 a, b;
	// lft / st.Y * V[i][div] >= A[i] / N
	if((__int128)lft * V[i][div] * N >= (__int128)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 = (__int128)st.X * V[i][div] * N + (__int128)A[i] * st.Y;
		b = (__int128)V[i][div] * N * st.Y;
		return f(a, b);
	}
	else {
		__int128 sa, sb;
		sa = (__int128)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((__int128)sa * N + (__int128)V[i][j] * sb * N >= (__int128)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 = (__int128)V[i][j] * sb * N;
				a = (__int128)b * j + (__int128)A[i] * sb - (__int128)sa * N;
				return f(a, b);
			}
			sa += (__int128)sb * V[i][j];
			tie(sa, sb) = f(sa, sb);
		}
	}
	return {1e9, 1};
}

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];
		}
	}
	vector<int> S, P;
	vector<pii> ans; pii now = {0, 1};
	for(int i=1; i<=N; i++) S.push_back(i);
	for(int i=1; i<=N; i++) {
		int mni = -1; pii mn = INF;
		for(int j=0; j<S.size(); j++) {
			pii tmp = R(S[j], now);
			if(tmp < mn) mn = tmp, mni = j;
		}
		now = mn;
		ans.push_back(now);
		P.push_back(S[mni]);
		if(mni == -1) return !printf("-1");
		S.erase(S.begin() + mni);
	}
	if(now < (pii){L, 1} || now == (pii){L, 1}) {
		for(int i=0; i<N-1; i++) printf("%d %d\n", ans[i].X, ans[i].Y);
		for(auto& it: P) printf("%d ", it);
	}
	else puts("-1");
	return 0;
}

Compilation message

naan.cpp: In function 'int main()':
naan.cpp:68:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int j=0; j<S.size(); j++) {
                ~^~~~~~~~~
naan.cpp:56:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d%d",&N,&L);
  ~~~~~^~~~~~~~~~~~~~
naan.cpp:59:9: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
    scanf("%d",&V[i][j]);
    ~~~~~^~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 348 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 348 KB Output is correct
10 Correct 3 ms 376 KB Output is correct
11 Correct 3 ms 376 KB Output is correct
12 Correct 3 ms 376 KB Output is correct
13 Correct 3 ms 376 KB Output is correct
14 Correct 3 ms 376 KB Output is correct
15 Correct 3 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 3 ms 376 KB Output is correct
3 Correct 4 ms 376 KB Output is correct
4 Correct 3 ms 376 KB Output is correct
5 Correct 3 ms 376 KB Output is correct
6 Correct 3 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 380 KB Output is correct
9 Correct 4 ms 376 KB Output is correct
10 Correct 3 ms 380 KB Output is correct
11 Correct 3 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 3 ms 376 KB Output is correct
14 Correct 3 ms 376 KB Output is correct
15 Correct 3 ms 376 KB Output is correct
16 Correct 3 ms 376 KB Output is correct
17 Correct 4 ms 380 KB Output is correct
18 Correct 4 ms 376 KB Output is correct
19 Correct 4 ms 376 KB Output is correct
20 Correct 4 ms 376 KB Output is correct
21 Correct 4 ms 376 KB Output is correct
22 Correct 3 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 3 ms 504 KB Output is correct
25 Correct 3 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 3 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 348 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 348 KB Output is correct
10 Correct 3 ms 376 KB Output is correct
11 Correct 3 ms 376 KB Output is correct
12 Correct 3 ms 376 KB Output is correct
13 Correct 3 ms 376 KB Output is correct
14 Correct 3 ms 376 KB Output is correct
15 Correct 3 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 3 ms 376 KB Output is correct
18 Correct 4 ms 376 KB Output is correct
19 Correct 3 ms 376 KB Output is correct
20 Correct 3 ms 376 KB Output is correct
21 Correct 3 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 380 KB Output is correct
24 Correct 4 ms 376 KB Output is correct
25 Correct 3 ms 380 KB Output is correct
26 Correct 3 ms 376 KB Output is correct
27 Correct 2 ms 376 KB Output is correct
28 Correct 3 ms 376 KB Output is correct
29 Correct 3 ms 376 KB Output is correct
30 Correct 3 ms 376 KB Output is correct
31 Correct 3 ms 376 KB Output is correct
32 Correct 4 ms 380 KB Output is correct
33 Correct 4 ms 376 KB Output is correct
34 Correct 4 ms 376 KB Output is correct
35 Correct 4 ms 376 KB Output is correct
36 Correct 4 ms 376 KB Output is correct
37 Correct 3 ms 376 KB Output is correct
38 Correct 2 ms 376 KB Output is correct
39 Correct 3 ms 504 KB Output is correct
40 Correct 3 ms 376 KB Output is correct
41 Correct 2 ms 376 KB Output is correct
42 Correct 3 ms 376 KB Output is correct
43 Incorrect 40 ms 3576 KB Integer parameter [name=A_i] equals to -1, violates the range [1, 2000000000000]
44 Halted 0 ms 0 KB -