oj.uz

Submission #848996

# Submission time Handle Problem Language Result Execution time Memory
848996 2023-09-13T20:23:03 Z rainboy Overtaking (IOI23_overtaking) C++17
100 / 100
 480 ms 46936 KB 
#include "overtaking.h"

using namespace std;

typedef vector<int> vi;
typedef vector<long long> vl;

const int N = 1000, M = 1000;

unsigned int X = 12345;

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

int n, m, a;

int aa[N]; long long bb[N]; int ii[N];
long long xx[M];

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

int compare_ba(int i, int j) {
	return bb[i] != bb[j] ? (bb[i] < bb[j] ? -1 : 1) : aa[i] - aa[j];
}

int compare_a(int i, int j) {
	return aa[i] - aa[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;
	}
}

long long yy[M][N], dp[M][N];

int shoot(int h, int i, long long b) {
	int lower = h, upper = m;
	while (upper - lower > 1) {
		h = (lower + upper) / 2;
		if ((long long) a * xx[h] + b > yy[h][i])
			lower = h;
		else
			upper = h;
	}
	return upper;
}

void init(int l, int n_, vl bb_, vi aa_, int a_, int m_, vi xx_) {
	n = 0, m = m_, a = a_;
	for (int i = 0; i < n_; i++)
		if (aa_[i] > a_)
			aa[n] = aa_[i], bb[n] = bb_[i], n++;
	for (int h = 0; h < m; h++)
		xx[h] = xx_[h];
	for (int i = 0; i < n; i++)
		ii[i] = i;
	compare = compare_ba, sort(ii, 0, n);
	for (int i = 0; i < n; i++)
		yy[0][i] = bb[ii[i]];
	for (int h = 1; h < m; h++) {
		for (int i = 0, j; i < n; i = j) {
			j = i + 1;
			long long z = eval(ii[i], xx[h]);
			while (j < n && eval(ii[j], xx[h]) <= z)
				bb[ii[j]] = z - (long long) aa[ii[j]] * xx[h], j++;
			compare = compare_a, sort(ii, i, j);
		}
		for (int i = 0; i < n; i++)
			yy[h][i] = eval(ii[i], xx[h]);
	}
	for (int h = m - 1; h >= 0; h--)
		for (int i = 0; i < n; i++)
			if (i > 0 && yy[h][i] == yy[h][i - 1])
				dp[h][i] = dp[h][i - 1];
			else {
				int h_ = i == 0 ? m : shoot(h, i - 1, yy[h][i] - (long long) a * xx[h]);
				dp[h][i] = h_ == m ? (long long) a * (xx[m - 1] - xx[h]) + yy[h][i] : dp[h_][i - 1];
			}
}

long long arrival_time(long long b) {
	int lower = -1, upper = n;
	while (upper - lower > 1) {
		int i = (lower + upper) / 2;
		if (yy[0][i] < b)
			lower = i;
		else
			upper = i;
	}
	int i = lower, h_ = i == -1 ? m : shoot(0, i, b);
	return h_ == m ? (long long) a * xx[m - 1] + b : dp[h_][i];
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 2908 KB Output is correct
6 Correct 1 ms 9052 KB Output is correct
7 Correct 2 ms 15192 KB Output is correct
8 Correct 2 ms 15448 KB Output is correct
9 Correct 3 ms 15452 KB Output is correct
10 Correct 3 ms 15452 KB Output is correct
11 Correct 1 ms 348 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2484 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2484 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 2 ms 2908 KB Output is correct
10 Correct 2 ms 2908 KB Output is correct
11 Correct 1 ms 2908 KB Output is correct
12 Correct 1 ms 2908 KB Output is correct
13 Correct 1 ms 2904 KB Output is correct
14 Correct 1 ms 2908 KB Output is correct
15 Correct 1 ms 2916 KB Output is correct
16 Correct 1 ms 2908 KB Output is correct
17 Correct 1 ms 2908 KB Output is correct
18 Correct 1 ms 2904 KB Output is correct
19 Correct 1 ms 2908 KB Output is correct
20 Correct 1 ms 2908 KB Output is correct
21 Correct 1 ms 2908 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 2 ms 2904 KB Output is correct
24 Correct 1 ms 2908 KB Output is correct
25 Correct 1 ms 2908 KB Output is correct
26 Correct 1 ms 2904 KB Output is correct
27 Correct 1 ms 2908 KB Output is correct
28 Correct 1 ms 2652 KB Output is correct
29 Correct 1 ms 2652 KB Output is correct
30 Correct 1 ms 2652 KB Output is correct
31 Correct 1 ms 2652 KB Output is correct
32 Correct 1 ms 2908 KB Output is correct
33 Correct 1 ms 2908 KB Output is correct
34 Correct 1 ms 2908 KB Output is correct
35 Correct 1 ms 2908 KB Output is correct
36 Correct 1 ms 2908 KB Output is correct
37 Correct 1 ms 2904 KB Output is correct
38 Correct 0 ms 344 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 2908 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 2908 KB Output is correct
7 Correct 1 ms 9052 KB Output is correct
8 Correct 2 ms 15192 KB Output is correct
9 Correct 2 ms 15448 KB Output is correct
10 Correct 3 ms 15452 KB Output is correct
11 Correct 3 ms 15452 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2484 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 2 ms 2908 KB Output is correct
17 Correct 2 ms 2908 KB Output is correct
18 Correct 1 ms 2908 KB Output is correct
19 Correct 1 ms 2908 KB Output is correct
20 Correct 1 ms 2904 KB Output is correct
21 Correct 1 ms 2908 KB Output is correct
22 Correct 1 ms 2916 KB Output is correct
23 Correct 1 ms 2908 KB Output is correct
24 Correct 1 ms 2908 KB Output is correct
25 Correct 1 ms 2904 KB Output is correct
26 Correct 1 ms 2908 KB Output is correct
27 Correct 1 ms 2908 KB Output is correct
28 Correct 1 ms 2908 KB Output is correct
29 Correct 1 ms 2652 KB Output is correct
30 Correct 2 ms 2904 KB Output is correct
31 Correct 1 ms 2908 KB Output is correct
32 Correct 1 ms 2908 KB Output is correct
33 Correct 1 ms 2904 KB Output is correct
34 Correct 1 ms 2908 KB Output is correct
35 Correct 1 ms 2652 KB Output is correct
36 Correct 1 ms 2652 KB Output is correct
37 Correct 1 ms 2652 KB Output is correct
38 Correct 1 ms 2652 KB Output is correct
39 Correct 1 ms 2908 KB Output is correct
40 Correct 1 ms 2908 KB Output is correct
41 Correct 1 ms 2908 KB Output is correct
42 Correct 1 ms 2908 KB Output is correct
43 Correct 1 ms 2908 KB Output is correct
44 Correct 1 ms 2904 KB Output is correct
45 Correct 0 ms 344 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 1 ms 2908 KB Output is correct
48 Correct 59 ms 16112 KB Output is correct
49 Correct 62 ms 16212 KB Output is correct
50 Correct 68 ms 16212 KB Output is correct
51 Correct 62 ms 16164 KB Output is correct
52 Correct 63 ms 16212 KB Output is correct
53 Correct 63 ms 16100 KB Output is correct
54 Correct 74 ms 16152 KB Output is correct
55 Correct 44 ms 15860 KB Output is correct
56 Correct 59 ms 16412 KB Output is correct
57 Correct 56 ms 16212 KB Output is correct
58 Correct 58 ms 16144 KB Output is correct
59 Correct 59 ms 16212 KB Output is correct
60 Correct 58 ms 16160 KB Output is correct
61 Correct 58 ms 16212 KB Output is correct
62 Correct 3 ms 15448 KB Output is correct
63 Correct 2 ms 2652 KB Output is correct
64 Correct 30 ms 16048 KB Output is correct
65 Correct 26 ms 11868 KB Output is correct
66 Correct 59 ms 16212 KB Output is correct
67 Correct 55 ms 16220 KB Output is correct
68 Correct 56 ms 16208 KB Output is correct
69 Correct 55 ms 16208 KB Output is correct
70 Correct 55 ms 16208 KB Output is correct
71 Correct 56 ms 16212 KB Output is correct
72 Correct 68 ms 16208 KB Output is correct
73 Correct 56 ms 16132 KB Output is correct
74 Correct 55 ms 16208 KB Output is correct
75 Correct 1 ms 344 KB Output is correct
76 Correct 1 ms 348 KB Output is correct
77 Correct 2 ms 432 KB Output is correct
78 Correct 55 ms 16164 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 2908 KB Output is correct
7 Correct 1 ms 9052 KB Output is correct
8 Correct 2 ms 15192 KB Output is correct
9 Correct 2 ms 15448 KB Output is correct
10 Correct 3 ms 15452 KB Output is correct
11 Correct 3 ms 15452 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2484 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 2 ms 2908 KB Output is correct
28 Correct 2 ms 2908 KB Output is correct
29 Correct 1 ms 2908 KB Output is correct
30 Correct 1 ms 2908 KB Output is correct
31 Correct 1 ms 2904 KB Output is correct
32 Correct 1 ms 2908 KB Output is correct
33 Correct 1 ms 2916 KB Output is correct
34 Correct 1 ms 2908 KB Output is correct
35 Correct 1 ms 2908 KB Output is correct
36 Correct 1 ms 2904 KB Output is correct
37 Correct 1 ms 2908 KB Output is correct
38 Correct 1 ms 2908 KB Output is correct
39 Correct 1 ms 2908 KB Output is correct
40 Correct 1 ms 2652 KB Output is correct
41 Correct 2 ms 2904 KB Output is correct
42 Correct 1 ms 2908 KB Output is correct
43 Correct 1 ms 2908 KB Output is correct
44 Correct 1 ms 2904 KB Output is correct
45 Correct 1 ms 2908 KB Output is correct
46 Correct 1 ms 2652 KB Output is correct
47 Correct 1 ms 2652 KB Output is correct
48 Correct 1 ms 2652 KB Output is correct
49 Correct 1 ms 2652 KB Output is correct
50 Correct 1 ms 2908 KB Output is correct
51 Correct 1 ms 2908 KB Output is correct
52 Correct 1 ms 2908 KB Output is correct
53 Correct 1 ms 2908 KB Output is correct
54 Correct 1 ms 2908 KB Output is correct
55 Correct 1 ms 2904 KB Output is correct
56 Correct 0 ms 344 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 1 ms 2908 KB Output is correct
59 Correct 59 ms 16112 KB Output is correct
60 Correct 62 ms 16212 KB Output is correct
61 Correct 68 ms 16212 KB Output is correct
62 Correct 62 ms 16164 KB Output is correct
63 Correct 63 ms 16212 KB Output is correct
64 Correct 63 ms 16100 KB Output is correct
65 Correct 74 ms 16152 KB Output is correct
66 Correct 44 ms 15860 KB Output is correct
67 Correct 59 ms 16412 KB Output is correct
68 Correct 56 ms 16212 KB Output is correct
69 Correct 58 ms 16144 KB Output is correct
70 Correct 59 ms 16212 KB Output is correct
71 Correct 58 ms 16160 KB Output is correct
72 Correct 58 ms 16212 KB Output is correct
73 Correct 3 ms 15448 KB Output is correct
74 Correct 2 ms 2652 KB Output is correct
75 Correct 30 ms 16048 KB Output is correct
76 Correct 26 ms 11868 KB Output is correct
77 Correct 59 ms 16212 KB Output is correct
78 Correct 55 ms 16220 KB Output is correct
79 Correct 56 ms 16208 KB Output is correct
80 Correct 55 ms 16208 KB Output is correct
81 Correct 55 ms 16208 KB Output is correct
82 Correct 56 ms 16212 KB Output is correct
83 Correct 68 ms 16208 KB Output is correct
84 Correct 56 ms 16132 KB Output is correct
85 Correct 55 ms 16208 KB Output is correct
86 Correct 1 ms 344 KB Output is correct
87 Correct 1 ms 348 KB Output is correct
88 Correct 2 ms 432 KB Output is correct
89 Correct 55 ms 16164 KB Output is correct
90 Correct 85 ms 18448 KB Output is correct
91 Correct 336 ms 42064 KB Output is correct
92 Correct 334 ms 41856 KB Output is correct
93 Correct 331 ms 42160 KB Output is correct
94 Correct 323 ms 42060 KB Output is correct
95 Correct 331 ms 42068 KB Output is correct
96 Correct 327 ms 42060 KB Output is correct
97 Correct 70 ms 18520 KB Output is correct
98 Correct 319 ms 42052 KB Output is correct
99 Correct 316 ms 42836 KB Output is correct
100 Correct 317 ms 42060 KB Output is correct
101 Correct 334 ms 41916 KB Output is correct
102 Correct 318 ms 42068 KB Output is correct
103 Correct 317 ms 42032 KB Output is correct
104 Correct 288 ms 41292 KB Output is correct
105 Correct 300 ms 39512 KB Output is correct
106 Correct 345 ms 46908 KB Output is correct
107 Correct 347 ms 46928 KB Output is correct
108 Correct 352 ms 46932 KB Output is correct
109 Correct 345 ms 46936 KB Output is correct
110 Correct 349 ms 46928 KB Output is correct
111 Correct 330 ms 42324 KB Output is correct
112 Correct 334 ms 42308 KB Output is correct
113 Correct 375 ms 43184 KB Output is correct
114 Correct 432 ms 44592 KB Output is correct
115 Correct 373 ms 43344 KB Output is correct
116 Correct 334 ms 43320 KB Output is correct
117 Correct 182 ms 28988 KB Output is correct
118 Correct 181 ms 29012 KB Output is correct
119 Correct 176 ms 28240 KB Output is correct
120 Correct 180 ms 29012 KB Output is correct
121 Correct 212 ms 29776 KB Output is correct
122 Correct 343 ms 38896 KB Output is correct
123 Correct 480 ms 44536 KB Output is correct
124 Correct 415 ms 44368 KB Output is correct
125 Correct 404 ms 44520 KB Output is correct