제출 #405183

#제출 시각아이디문제언어결과실행 시간메모리
405183rainboyRoller Coaster Railroad (IOI16_railroad)C11
100 / 100
212 ms12824 KiB
#include "railroad_c.h" #include <string.h> #define N 200001 #define INF 0x3f3f3f3f 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; } unsigned int X = 12345; int rand_() { return (X *= 3) >> 1; } int xx[N * 2], uu[N * 2 - 1], vv[N * 2 - 1], ww[N * 2 - 1]; int compare_x(int i, int j) { return xx[i] != xx[j] ? xx[i] - xx[j] : (i & 1) - (j & 1); } int compare_w(int h1, int h2) { return ww[h1] - ww[h2]; } void sort(int *ii, int l, int r, int (*compare)(int, int)) { while (l < r) { int i = l, j = l, k = r, i_ = ii[l + rand_() % (r - l)], tmp; while (j < k) { int c = compare(ii[j], i_); if (c == 0) j++; else if (c < 0) { tmp = ii[i], ii[i] = ii[j], ii[j] = tmp; i++, j++; } else { k--; tmp = ii[j], ii[j] = ii[k], ii[k] = tmp; } } sort(ii, l, i, compare); l = k; } } int ds[N]; int find(int i) { return ds[i] < 0 ? i : (ds[i] = find(ds[i])); } int join(int i, int j) { i = find(i); j = find(j); if (i == j) return 0; if (ds[i] > ds[j]) ds[i] = j; else { if (ds[i] == ds[j]) ds[i]--; ds[j] = i; } return 1; } long long plan_roller_coaster(int n, int *aa, int *bb) { static int hh[N * 2 - 1], ii[N * 2]; int m, h, h_, i, j, d; long long ans; for (i = 0; i < n; i++) xx[i << 1 | 0] = bb[i], xx[i << 1 | 1] = aa[i]; xx[n << 1 | 0] = 0, xx[n << 1 | 1] = INF, n++; for (i = 0; i < n * 2; i++) ii[i] = i; sort(ii, 0, n * 2, compare_x); memset(ds, -1, n * sizeof *ds); ans = 0; for (h = 0, d = 0; h < n * 2; h++) { i = ii[h]; d += (i & 1) == 0 ? 1 : -1; if (h + 1 < n * 2) { j = ii[h + 1]; if (d < 0) ans += (long long) -d * (xx[j] - xx[i]); if (d != 0 && h + 1 < n * 2) join(i >> 1, j >> 1); } } m = 0; for (h = 1; h < n * 2; h++) { i = ii[h], j = ii[h - 1]; if (find(i >> 1) != find(j >> 1)) uu[m] = i >> 1, vv[m] = j >> 1, ww[m] = xx[i] - xx[j], m++; } for (h = 0; h < m; h++) hh[h] = h; sort(hh, 0, m, compare_w); for (h = 0; h < m; h++) { h_ = hh[h]; if (join(uu[h_], vv[h_])) ans += ww[h_]; } return ans; }
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