Submission #395606

# Submission time Handle Problem Language Result Execution time Memory
395606 2021-04-28T16:41:44 Z rainboy Scales (IOI15_scales) C
100 / 100
32 ms 328 KB
/* upsolve after reading analysis */
#include "scales.h"
#include <string.h>

#define N	6
#define M	720
#define N_	1093
#define K	6

int p3[] = { 1, 3, 9, 27, 81, 243, 729 };

int next_permutation(int *pp) {
	int i, j, tmp;

	i = N - 2;
	while (i >= 0 && pp[i] > pp[i + 1])
		i--;
	if (i < 0)
		return 0;
	j = N - 1;
	while (j > 0 && pp[i] > pp[j])
		j--;
	tmp = pp[i], pp[i] = pp[j], pp[j] = tmp;
	for (i++, j = N - 1; i < j; i++, j--)
		tmp = pp[i], pp[i] = pp[j], pp[j] = tmp;
	return 1;
}

int ppp[M][N]; char type[K + 1][M];
int mode_[N_], aa[N_], bb[N_], cc[N_], dd[N_];

int query(int *pp, int mode, int a, int b, int c, int d) {
	if (mode == 3) {
		if (pp[d] > pp[a] && pp[d] > pp[b] && pp[d] > pp[c])
			mode = 0;
		else {
			if (pp[a] > pp[d] && (pp[b] < pp[d] || pp[b] > pp[a]) && (pp[c] < pp[d] || pp[c] > pp[a]))
				return 1;
			if (pp[b] > pp[d] && (pp[a] < pp[d] || pp[a] > pp[b]) && (pp[c] < pp[d] || pp[c] > pp[b]))
				return 2;
			return 3;
		}
	}
	if (mode == 0) {
		if (pp[a] < pp[b] && pp[a] < pp[c])
			return 1;
		if (pp[b] < pp[a] && pp[b] < pp[c])
			return 2;
		return 3;
	}
	if (mode == 1) {
		if (pp[a] > pp[b] && pp[a] > pp[c])
			return 1;
		if (pp[b] > pp[a] && pp[b] > pp[c])
			return 2;
		return 3;
	}
	if (mode == 2) {
		if ((pp[a] > pp[b]) != (pp[a] > pp[c]))
			return 1;
		if ((pp[b] > pp[a]) != (pp[b] > pp[c]))
			return 2;
		return 3;
	}
	return -1;
}

int dfs(int u, int k) {
	static int cnt[4];
	int h, h_;

	h_ = -1;
	for (h = 0; h < M; h++)
		if (type[k][h]) {
			if (h_ == -1)
				h_ = h;
			else {
				h_ = -2;
				break;
			}
		}
	if (h_ == -1)
		return 1;
	if (h_ != -2) {
		mode_[u] = -h_ - 1;
		return 1;
	}
	for (mode_[u] = 0; mode_[u] < 4; mode_[u]++)
		for (aa[u] = 0; aa[u] < N; aa[u]++)
			for (bb[u] = aa[u] + 1; bb[u] < N; bb[u]++)
				for (cc[u] = bb[u] + 1; cc[u] < N; cc[u]++)
					for (dd[u] = 0; dd[u] < (mode_[u] == 3 ? N : 1); dd[u]++) {
						int t, ok;

						if (mode_[u] == 3 && (dd[u] == aa[u] || dd[u] == bb[u] || dd[u] == cc[u]))
							continue;
						cnt[1] = cnt[2] = cnt[3] = 0;
						for (h = 0; h < M; h++)
							if (type[k][h])
								cnt[type[k][h] = query(ppp[h], mode_[u], aa[u], bb[u], cc[u], dd[u])]++;
						if (cnt[1] > p3[K - 1 - k] || cnt[2] > p3[K - 1 - k] || cnt[3] > p3[K - 1 - k])
							continue;
						ok = 1;
						for (t = 1; t <= 3; t++) {
							for (h = 0; h < M; h++)
								type[k + 1][h] = type[k][h] == t;
							if (!dfs(u * 3 + t, k + 1)) {
								ok = 0;
								break;
							}
						}
						if (ok)
							return 1;
					}
	return 0;
}

void init(int T) {
	static int pp[N];
	int i, m;

	for (i = 0; i < N; i++)
		pp[i] = i;
	m = 0;
	do {
		memcpy(ppp[m++], pp, N * sizeof *pp);
	} while (next_permutation(pp));
	memset(type[0], 1, M * sizeof *type[0]);
	dfs(0, 0);
}

void orderCoins() {
	static int ans[N];
	int h, i, u;

	u = 0;
	while (mode_[u] >= 0) {
		int x;

		if (mode_[u] == 0)
			x = getLightest(aa[u] + 1, bb[u] + 1, cc[u] + 1) - 1;
		else if (mode_[u] == 1)
			x = getHeaviest(aa[u] + 1, bb[u] + 1, cc[u] + 1) - 1;
		else if (mode_[u] == 2)
			x = getMedian(aa[u] + 1, bb[u] + 1, cc[u] + 1) - 1;
		else
			x = getNextLightest(aa[u] + 1, bb[u] + 1, cc[u] + 1, dd[u] + 1) - 1;
		if (x == aa[u])
			u = u * 3 + 1;
		else if (x == bb[u])
			u = u * 3 + 2;
		else
			u = u * 3 + 3;
	}
	h = -1 - mode_[u];
	for (i = 0; i < 6; i++)
		ans[ppp[h][i]] = i + 1;
	answer(ans);
}

Compilation message

scales.c: In function 'dfs':
scales.c:100:26: warning: conversion from 'int' to 'char' may change value [-Wconversion]
  100 |         cnt[type[k][h] = query(ppp[h], mode_[u], aa[u], bb[u], cc[u], dd[u])]++;
      |                          ^~~~~
scales.c:100:24: warning: array subscript has type 'char' [-Wchar-subscripts]
  100 |         cnt[type[k][h] = query(ppp[h], mode_[u], aa[u], bb[u], cc[u], dd[u])]++;
      |             ~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
scales.c: In function 'init':
scales.c:118:15: warning: unused parameter 'T' [-Wunused-parameter]
  118 | void init(int T) {
      |           ~~~~^
# Verdict Execution time Memory Grader output
1 Correct 27 ms 204 KB Output is correct
2 Correct 24 ms 320 KB Output is correct
3 Correct 25 ms 324 KB Output is correct
4 Correct 32 ms 320 KB Output is correct
5 Correct 25 ms 324 KB Output is correct
6 Correct 25 ms 320 KB Output is correct
7 Correct 25 ms 320 KB Output is correct
8 Correct 25 ms 204 KB Output is correct
9 Correct 25 ms 284 KB Output is correct
10 Correct 25 ms 204 KB Output is correct
11 Correct 25 ms 204 KB Output is correct
12 Correct 24 ms 320 KB Output is correct
13 Correct 25 ms 328 KB Output is correct
14 Correct 24 ms 320 KB Output is correct
15 Correct 24 ms 204 KB Output is correct
16 Correct 25 ms 208 KB Output is correct
17 Correct 25 ms 204 KB Output is correct
18 Correct 25 ms 304 KB Output is correct
19 Correct 24 ms 324 KB Output is correct
20 Correct 25 ms 328 KB Output is correct
21 Correct 26 ms 204 KB Output is correct
22 Correct 25 ms 284 KB Output is correct
23 Correct 30 ms 204 KB Output is correct
24 Correct 25 ms 204 KB Output is correct
25 Correct 25 ms 320 KB Output is correct
26 Correct 24 ms 204 KB Output is correct
27 Correct 25 ms 320 KB Output is correct
28 Correct 25 ms 324 KB Output is correct
29 Correct 25 ms 204 KB Output is correct
30 Correct 25 ms 204 KB Output is correct
31 Correct 25 ms 300 KB Output is correct
32 Correct 24 ms 320 KB Output is correct
33 Correct 25 ms 320 KB Output is correct
34 Correct 25 ms 204 KB Output is correct
35 Correct 25 ms 304 KB Output is correct
36 Correct 25 ms 328 KB Output is correct
37 Correct 25 ms 312 KB Output is correct
38 Correct 24 ms 204 KB Output is correct
39 Correct 24 ms 320 KB Output is correct
40 Correct 24 ms 204 KB Output is correct