oj.uz

Submission #463856

# Submission time Handle Problem Language Result Execution time Memory
463856 2021-08-11T22:31:26 Z rainboy Gauss (COCI17_gauss) C
160 / 160
 867 ms 90720 KB 
#include <stdio.h>
#include <string.h>

#define N	50
#define M	1000
#define C	10000
#define A	1000000
#define K	20	/* K = ceil(log2(A)) */
#define INF	0x3f3f3f3f

unsigned int X = 12345;

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

int min(int a, int b) { return a < b ? a : b; }

int dd[A + 1], kk[A + 1], dp[A + 1][K + 1];

void init() {
	int a, b;

	for (a = 1; a <= A; a++)
		for (b = a; b <= A; b += a) {
			dd[b]++;
			if (dd[a] == 2) {
				int b_ = b;

				while (b_ % a == 0)
					b_ /= a, kk[b]++;
			}
		}
}

int cc[N];

int compare_a(int a, int b) { return a - b; }
int compare_c(int i, int j) { return cc[i] - cc[j]; }

int (*compare)(int, int);

void sort(int *ii, int l, int r) {
	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);
		l = k;
	}
}

int xx[N], yy[N];

long long cross(int i, int j, int k) {
	return (long long) (xx[j] - xx[i]) * (yy[k] - yy[i]) - (long long) (xx[k] - xx[i]) * (yy[j] - yy[i]);
}

long long eval(int i, int x) {
	return (long long) xx[i] * x + yy[i];
}

int main() {
	static int aa[N], ii[N], ll[M], ff[C + 1], dq[K + 1], dr[K + 1], qu[N];
	int n, m, d, q, h, h_, i, a, b, c, k, cnt;

	init();
	scanf("%d", &d);
	for (c = 1; c <= d; c++)
		scanf("%d", &ff[c]);
	scanf("%d", &m);
	for (h = 0; h < m; h++)
		scanf("%d", &ll[h]);
	compare = compare_a, sort(ll, 0, m);
	scanf("%d", &n);
	for (i = 0; i < n; i++) {
		scanf("%d%d", &aa[i], &cc[i]);
		ii[i] = i;
	}
	compare = compare_c, sort(ii, 0, n);
	for (a = 1; a <= A; a++)
		memset(dp[a], 0x3f, (kk[a] + 1) * sizeof *dp[a]);
	dp[1][0] = 0;
	for (a = 1; a <= A; a++)
		for (b = a + a; b <= A; b += a)
			for (k = 0; k <= kk[a]; k++)
				dp[b][k + 1] = min(dp[b][k + 1], dp[a][k] + (dd[b / a] > d ? 0 : ff[dd[b / a]]));
	scanf("%d", &q);
	while (q--) {
		int k1, k2;
		long long ans;

		scanf("%d%d", &a, &b);
		if (a % b != 0) {
			printf("%d\n", -m);
			continue;
		}
		for (k = 0; k <= kk[a / b]; k++)
			dr[k] = dp[a / b][k];
		cnt = 0;
		for (i = 0; i < n; i++) {
			int i_ = ii[i];

			if (a % aa[i_] == 0 && aa[i_] % b == 0) {
				int a_, b_, x;

				a_ = a / aa[i_], b_ = aa[i_] / b;
				memset(dq, 0x3f, (kk[a / b] + 1) * sizeof *dq);
				for (k1 = 0; k1 <= kk[a_]; k1++)
					for (k2 = 0; k2 <= kk[b_]; k2++)
						dq[k1 + k2] = min(dq[k1 + k2], dp[a_][k1] + dp[b_][k2]);
				x = INF;
				for (k = 0; k <= kk[a / b]; k++)
					dr[k] = min(dr[k], x = min(x + cc[i_], dq[k]));
				if (x != INF) {
					xx[i_] = cc[i_], yy[i_] = x - kk[a / b] * cc[i_];
					while (1)
						if (cnt == 0) {
							qu[cnt++] = i_;
							break;
						} else if (xx[i_] == xx[qu[cnt - 1]]) {
							if (yy[i_] < yy[qu[cnt - 1]])
								cnt--;
							else
								break;
						} else {
							if (cnt >= 2 && cross(qu[cnt - 2], qu[cnt - 1], i_) <= 0)
								cnt--;
							else {
								qu[cnt++] = i_;
								break;
							}
						}
				}
			}
		}
		ans = 0;
		for (h = 0, h_ = cnt - 1; h < m; h++) {
			k = ll[h];
			if (k <= kk[a / b])
				ans += dr[k] == INF ? -1 : dr[k];
			else {
				while (h_ > 0 && eval(qu[h_], k) >= eval(qu[h_ - 1], k))
					h_--;
				ans += cnt == 0 ? -1 : eval(qu[h_], k);
			}
		}
		printf("%lld\n", ans);
	}
	return 0;
}

Compilation message

gauss.c: In function 'main':
gauss.c:80:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
   80 |  scanf("%d", &d);
      |  ^~~~~~~~~~~~~~~
gauss.c:82:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
   82 |   scanf("%d", &ff[c]);
      |   ^~~~~~~~~~~~~~~~~~~
gauss.c:83:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
   83 |  scanf("%d", &m);
      |  ^~~~~~~~~~~~~~~
gauss.c:85:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
   85 |   scanf("%d", &ll[h]);
      |   ^~~~~~~~~~~~~~~~~~~
gauss.c:87:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
   87 |  scanf("%d", &n);
      |  ^~~~~~~~~~~~~~~
gauss.c:89:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
   89 |   scanf("%d%d", &aa[i], &cc[i]);
      |   ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
gauss.c:100:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  100 |  scanf("%d", &q);
      |  ^~~~~~~~~~~~~~~
gauss.c:105:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  105 |   scanf("%d%d", &a, &b);
      |   ^~~~~~~~~~~~~~~~~~~~~

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 693 ms 90384 KB Output is correct
2 Correct 699 ms 90284 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 703 ms 90280 KB Output is correct
2 Correct 708 ms 90308 KB Output is correct

Subtask #3
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 707 ms 90180 KB Output is correct
2 Correct 702 ms 90284 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 723 ms 90308 KB Output is correct
2 Correct 705 ms 90276 KB Output is correct

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 784 ms 90672 KB Output is correct
2 Correct 801 ms 90668 KB Output is correct

Subtask #6
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 776 ms 90548 KB Output is correct
2 Correct 791 ms 90660 KB Output is correct

Subtask #7
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 791 ms 90660 KB Output is correct
2 Correct 865 ms 90720 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 844 ms 90664 KB Output is correct
2 Correct 762 ms 90512 KB Output is correct

Subtask #9
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 867 ms 90704 KB Output is correct
2 Correct 821 ms 90592 KB Output is correct

Subtask #10
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 848 ms 90664 KB Output is correct
2 Correct 817 ms 90692 KB Output is correct