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답안 #486384

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
486384 2021-11-11T14:25:10 Z rainboy Žarulje (COI15_zarulje) C
100 / 100
 106 ms 42676 KB 
#include <stdio.h>
#include <stdlib.h>

#define N	200000
#define MD	1000000007

unsigned int X = 12345;

int rand_() {
	return (X *= 3) >> 1;
}

int vv[N + 1], ff[N + 1], gg[N + 1];

void init() {
	int i;

	ff[0] = gg[0] = 1;
	for (i = 1; i <= N; i++) {
		vv[i] = i == 1 ? 1 : (long long) vv[i - MD % i] * (MD / i + 1) % MD;
		ff[i] = (long long) ff[i - 1] * i % MD;
		gg[i] = (long long) gg[i - 1] * vv[i] % MD;
	}
}

int choose(int n, int k) {
	return (long long) ff[n] * gg[k] % MD * gg[n - k] % MD;
}

int vchoose(int n, int k) {
	return (long long) gg[n] * ff[k] % MD * ff[n - k] % MD;
}

int main() {
	static int aa[N], qu[N], cc[N], nxt[N], *qul[N], *ccl[N], kkl[N], *qur[N], *ccr[N], kkr[N], ans[N], dd[N];
	int n, q, h, hl, hr, i, j, cnt;

	init();
	scanf("%d%d", &n, &q);
	for (i = 0; i < n; i++)
		scanf("%d", &aa[i]);
	cnt = 0;
	for (i = 0; i < n; i++) {
		int cnt_ = cnt;

		while (cnt && aa[qu[cnt - 1]] > aa[i])
			cnt--;
		if (cnt == 0 || aa[qu[cnt - 1]] != aa[i]) {
			kkl[i] = cnt_ - cnt;
			qul[i] = (int *) malloc(kkl[i] * sizeof *qul[i]);
			ccl[i] = (int *) malloc(kkl[i] * sizeof *ccl[i]);
			for (h = cnt; h < cnt_; h++)
				qul[i][cnt_ - 1 - h] = qu[h], ccl[i][cnt_ - 1 - h] = cc[h];
			qu[cnt] = i, cc[cnt] = 1, cnt++;
		} else {
			kkl[i] = cnt_ - cnt + 1;
			qul[i] = (int *) malloc(kkl[i] * sizeof *qul[i]);
			ccl[i] = (int *) malloc(kkl[i] * sizeof *ccl[i]);
			for (h = cnt - 1; h < cnt_; h++)
				qul[i][cnt_ - 1 - h] = qu[h], ccl[i][cnt_ - 1 - h] = cc[h];
			qu[cnt - 1] = i, cc[cnt - 1]++;
		}
	}
	cnt = 0;
	for (i = n - 1; i >= 0; i--) {
		int cnt_ = cnt;

		while (cnt && aa[qu[cnt - 1]] > aa[i])
			cnt--;
		nxt[i] = cnt == 0 ? n : qu[cnt - 1];
		if (cnt == 0 || aa[qu[cnt - 1]] != aa[i]) {
			kkr[i] = cnt_ - cnt;
			qur[i] = (int *) malloc(kkr[i] * sizeof *qur[i]);
			ccr[i] = (int *) malloc(kkr[i] * sizeof *ccr[i]);
			for (h = cnt; h < cnt_; h++)
				qur[i][cnt_ - 1 - h] = qu[h], ccr[i][cnt_ - 1 - h] = cc[h];
			qu[cnt] = i, cc[cnt] = 1, cnt++;
		} else {
			kkr[i] = cnt_ - cnt + 1;
			qur[i] = (int *) malloc(kkr[i] * sizeof *qur[i]);
			ccr[i] = (int *) malloc(kkr[i] * sizeof *ccr[i]);
			for (h = cnt - 1; h < cnt_; h++)
				qur[i][cnt_ - 1 - h] = qu[h], ccr[i][cnt_ - 1 - h] = cc[h];
			qu[cnt - 1] = i, cc[cnt - 1]++;
		}
	}
	for (i = 0; i < n; i++)
		ans[i] = 1;
	for (i = 0; i < n; i++) {
		hl = 0, hr = 0;
		while (hl < kkl[i] && hr < kkr[i])
			if (aa[qul[i][hl]] > aa[qur[i][hr]])
				hl++;
			else if (aa[qul[i][hl]] < aa[qur[i][hr]])
				hr++;
			else {
				ans[i] = (long long) ans[i] * choose(ccl[i][hl] + ccr[i][hr], ccl[i][hl]) % MD;
				hl++, hr++;
			}
	}
	for (i = 0; i < n; i++)
		dd[i] = 1;
	for (i = 0; i < n; i++)
		if (kkl[i] == 0 || aa[qul[i][kkl[i] - 1]] != aa[i]) {
			int c = kkr[i] == 0 || aa[qur[i][kkr[i] - 1]] != aa[i] ? 0 : ccr[i][kkr[i] - 1];

			for (h = 0, j = i; h < c; h++, j = nxt[j]) {
				dd[j + 1] = (long long) dd[j + 1] * choose(c + 1, h + 1) % MD;
				dd[nxt[j]] = (long long) dd[nxt[j]] * vchoose(c + 1, h + 1) % MD;
			}
		}
	for (i = 1; i < n; i++)
		dd[i] = (long long) dd[i] * dd[i - 1] % MD;
	for (i = 1; i < n; i++)
		ans[i] = (long long) ans[i] * dd[i] % MD;
	while (q--) {
		scanf("%d", &i), i--;
		printf("%d\n", ans[i]);
	}
	return 0;
}

Compilation message

zarulje.c: In function 'main':
zarulje.c:39:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
   39 |  scanf("%d%d", &n, &q);
      |  ^~~~~~~~~~~~~~~~~~~~~
zarulje.c:41:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
   41 |   scanf("%d", &aa[i]);
      |   ^~~~~~~~~~~~~~~~~~~
zarulje.c:117:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  117 |   scanf("%d", &i), i--;
      |   ^~~~~~~~~~~~~~~

Subtask #1
22.0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 2636 KB Output is correct
2 Correct 4 ms 2836 KB Output is correct
3 Correct 4 ms 3024 KB Output is correct
4 Correct 5 ms 3020 KB Output is correct
5 Correct 6 ms 3060 KB Output is correct
6 Correct 5 ms 2984 KB Output is correct

Subtask #2
38.0 / 38.0

# 결과 실행 시간 메모리 Grader output
1 Correct 36 ms 20648 KB Output is correct
2 Correct 65 ms 38656 KB Output is correct
3 Correct 62 ms 38724 KB Output is correct
4 Correct 62 ms 38680 KB Output is correct
5 Correct 62 ms 38724 KB Output is correct
6 Correct 66 ms 38700 KB Output is correct
7 Correct 68 ms 38632 KB Output is correct

Subtask #3
40.0 / 40.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 2636 KB Output is correct
2 Correct 4 ms 2836 KB Output is correct
3 Correct 4 ms 3024 KB Output is correct
4 Correct 5 ms 3020 KB Output is correct
5 Correct 6 ms 3060 KB Output is correct
6 Correct 5 ms 2984 KB Output is correct
7 Correct 36 ms 20648 KB Output is correct
8 Correct 65 ms 38656 KB Output is correct
9 Correct 62 ms 38724 KB Output is correct
10 Correct 62 ms 38680 KB Output is correct
11 Correct 62 ms 38724 KB Output is correct
12 Correct 66 ms 38700 KB Output is correct
13 Correct 68 ms 38632 KB Output is correct
14 Correct 7 ms 4556 KB Output is correct
15 Correct 52 ms 21956 KB Output is correct
16 Correct 105 ms 42180 KB Output is correct
17 Correct 92 ms 40872 KB Output is correct
18 Correct 104 ms 42676 KB Output is correct
19 Correct 83 ms 40740 KB Output is correct
20 Correct 106 ms 41512 KB Output is correct
21 Correct 105 ms 41628 KB Output is correct