Submission #405066

#TimeUsernameProblemLanguageResultExecution timeMemory
405066rainboyShortcut (IOI16_shortcut)C11
0 / 100
1 ms212 KiB
#include "shortcut_c.h"

#define N	1000000
#define INF	0x3f3f3f3f3f3f3f3f

long long min(long long a, long long b) { return a < b ? a : b; }
long long max(long long a, long long b) { return a > b ? a : b; }
long long abs_(long long a) { return a > 0 ? a : -a; }

long long find_shortcut(int n, int *ll, int *dd, int c) {
	static long long xx[N];
	int i, j, k, l;
	long long lower, upper;

	for (i = 1; i < n; i++)
		xx[i] = xx[i - 1] + ll[i - 1];
	lower = -1, upper = xx[n - 1] + 2000000000;
	while (upper - lower > 1) {
		long long d = (lower + upper) / 2, w, x, y, z;
		int can;

		w = x = y = z = INF;
		for (k = 0; k < n; k++)
			for (l = k + 1; l < n; l++)
				if (dd[k] + dd[l] + xx[l] - xx[k] > d) {
					/* dd[k] + dd[l] + |xx[k] - xx[i]| + c + |xx[l] - xx[j]| <= d
					 *
					 * max(xx[k] - xx[i], xx[i] - xx[k]) + max(xx[l] - xx[j], xx[j] - xx[l])
					 * <= d - (dd[k] + dd[l] + c)
					 *
					 * xx[k] - xx[i] + xx[l] - xx[j] <= d - (dd[k] + dd[l] + c)
					 * xx[k] - xx[i] + xx[j] - xx[l] <= d - (dd[k] + dd[l] + c)
					 * xx[i] - xx[k] + xx[l] - xx[j] <= d - (dd[k] + dd[l] + c)
					 * xx[i] - xx[k] + xx[j] - xx[l] <= d - (dd[k] + dd[l] + c)
					 *
					 * - xx[i] - xx[j] <= d - (dd[k] + dd[l] + c + xx[k] + xx[l])
					 * - xx[i] + xx[j] <= d - (dd[k] + dd[l] + c + xx[k] - xx[l])
					 * + xx[i] - xx[j] <= d - (dd[k] + dd[l] + c - xx[k] + xx[l])
					 * + xx[i] + xx[j] <= d - (dd[k] + dd[l] + c - xx[k] - xx[l]) */
					w = min(w, d - (dd[k] + dd[l] + c + xx[k] + xx[l]));
					x = min(x, d - (dd[k] + dd[l] + c + xx[k] - xx[l]));
					y = min(y, d - (dd[k] + dd[l] + c - xx[k] + xx[l]));
					z = min(z, d - (dd[k] + dd[l] + c - xx[k] - xx[l]));
				}
		can = 0;
		for (i = 0; i < n; i++)
			for (j = i + 1; j < n; j++)
				if (- xx[i] - xx[j] <= w && - xx[i] + xx[j] <= x && + xx[i] - xx[j] <= y && + xx[i] + xx[j] <= z) {
					can = 1;
					goto out;
				}
out:
		if (can)
			upper = d;
		else
			lower = d;
	}
	return upper;
}
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