#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];
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |