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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#714742 | #9158. 分数 | Qwerty1232 | 100 ✓ | 4228ms | 3900kb | C++23 | 1.4kb | 2024-11-06 04:27:42 | 2024-11-06 04:27:42 |
Judging History
answer
#include <bits/stdc++.h>
int64_t ans = 0;
int n, m;
int64_t dfs1_calls = 0;
int64_t dfs2_calls = 0;
// (ax + b) / (cx + d)
bool dfs2(int a, int b, int c, int d, int x) {
dfs2_calls++;
int p = a * 2 * x + b;
int q = c * 2 * x + d;
if (q > n || p > m) {
return false;
}
int dlt = 0;
for (auto [n, m] : std::array{std::pair{::n, ::m}, std::pair{::m, ::n}}) {
int r1 = a == 0 ? int(1e9) : (n - a * 2 * x - b + 2 * a) / (2 * a);
int r2 = c == 0 ? int(1e9) : (m - c * 2 * x - d + 2 * c) / (2 * c);
dlt += std::max(0, std::min(r1, r2));
}
ans += dlt;
for (int k = 1; p + 2 * k * q <= n; k++) {
if (!dfs2(c, d, a + 2 * k * c, b + d * 2 * k, std::max(k, x))) {
break;
}
}
return true;
}
void dfs1(int a, int b, int x) {
dfs1_calls++;
dfs2(0, b, b, a, x + 1);
for (int k = 1; b + 2 * int64_t(std::max(x, k) + 1) * (a + 2 * k * b) <= n; k++) {
dfs1(b, a + 2 * k * b, std::max(x, k));
}
}
int32_t main() {
n = m = 3e7;
n *= 0.9;
std::cin >> n >> m;
if (n < m) {
std::swap(n, m);
}
dfs1(0, 1, 0);
std::cout << ans << std::endl;
std::cerr << dfs1_calls / 1e6 << "M" << std::endl;
std::cerr << dfs2_calls / 1e6 << "M" << std::endl;
return 0;
}
Details
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Pretests
Pretest #1:
score: 5
Accepted
time: 0ms
memory: 3900kb
input:
99 99
output:
406
result:
ok 1 number(s): "406"
Pretest #2:
score: 5
Accepted
time: 0ms
memory: 3796kb
input:
98 97
output:
405
result:
ok 1 number(s): "405"
Pretest #3:
score: 5
Accepted
time: 0ms
memory: 3800kb
input:
99 96
output:
396
result:
ok 1 number(s): "396"
Pretest #4:
score: 5
Accepted
time: 0ms
memory: 3792kb
input:
995 977
output:
11153
result:
ok 1 number(s): "11153"
Pretest #5:
score: 5
Accepted
time: 0ms
memory: 3808kb
input:
991 990
output:
11220
result:
ok 1 number(s): "11220"
Pretest #6:
score: 5
Accepted
time: 0ms
memory: 3800kb
input:
976 968
output:
10900
result:
ok 1 number(s): "10900"
Pretest #7:
score: 5
Accepted
time: 1ms
memory: 3900kb
input:
7602 7864
output:
215706
result:
ok 1 number(s): "215706"
Pretest #8:
score: 5
Accepted
time: 0ms
memory: 3808kb
input:
7959 7735
output:
220256
result:
ok 1 number(s): "220256"
Pretest #9:
score: 5
Accepted
time: 0ms
memory: 3752kb
input:
7878 7863
output:
221162
result:
ok 1 number(s): "221162"
Pretest #10:
score: 5
Accepted
time: 0ms
memory: 3748kb
input:
7788 7658
output:
215323
result:
ok 1 number(s): "215323"
Pretest #11:
score: 5
Accepted
time: 3ms
memory: 3852kb
input:
95399 99767
output:
8285295
result:
ok 1 number(s): "8285295"
Pretest #12:
score: 5
Accepted
time: 3ms
memory: 3804kb
input:
98051 99642
output:
8439713
result:
ok 1 number(s): "8439713"
Pretest #13:
score: 5
Accepted
time: 3ms
memory: 3760kb
input:
95624 96007
output:
8068127
result:
ok 1 number(s): "8068127"
Pretest #14:
score: 5
Accepted
time: 3ms
memory: 3860kb
input:
99208 98047
output:
8412610
result:
ok 1 number(s): "8412610"
Pretest #15:
score: 5
Accepted
time: 41ms
memory: 3796kb
input:
997417 967722
output:
229917323
result:
ok 1 number(s): "229917323"
Pretest #16:
score: 5
Accepted
time: 47ms
memory: 3840kb
input:
987807 956529
output:
226426912
result:
ok 1 number(s): "226426912"
Pretest #17:
score: 5
Accepted
time: 46ms
memory: 3880kb
input:
971654 984345
output:
228363805
result:
ok 1 number(s): "228363805"
Pretest #18:
score: 5
Accepted
time: 737ms
memory: 3860kb
input:
7892259 7983727
output:
4647501224
result:
ok 1 number(s): "4647501224"
Pretest #19:
score: 5
Accepted
time: 3748ms
memory: 3884kb
input:
7937869 29796968
output:
15197555613
result:
ok 1 number(s): "15197555613"
Pretest #20:
score: 5
Accepted
time: 4228ms
memory: 3860kb
input:
29717543 29510173
output:
30904211576
result:
ok 1 number(s): "30904211576"
Final Tests
Test #1:
score: 5
Accepted
time: 0ms
memory: 3856kb
input:
96 98
output:
396
result:
ok 1 number(s): "396"
Test #2:
score: 5
Accepted
time: 0ms
memory: 3816kb
input:
100 99
output:
408
result:
ok 1 number(s): "408"
Test #3:
score: 5
Accepted
time: 0ms
memory: 3880kb
input:
99 99
output:
406
result:
ok 1 number(s): "406"
Test #4:
score: 5
Accepted
time: 0ms
memory: 3804kb
input:
963 951
output:
10634
result:
ok 1 number(s): "10634"
Test #5:
score: 5
Accepted
time: 0ms
memory: 3804kb
input:
958 974
output:
10795
result:
ok 1 number(s): "10795"
Test #6:
score: 5
Accepted
time: 0ms
memory: 3856kb
input:
966 990
output:
11003
result:
ok 1 number(s): "11003"
Test #7:
score: 5
Accepted
time: 0ms
memory: 3804kb
input:
7958 7947
output:
224482
result:
ok 1 number(s): "224482"
Test #8:
score: 5
Accepted
time: 0ms
memory: 3804kb
input:
7623 7730
output:
213444
result:
ok 1 number(s): "213444"
Test #9:
score: 5
Accepted
time: 1ms
memory: 3800kb
input:
7845 7783
output:
218916
result:
ok 1 number(s): "218916"
Test #10:
score: 5
Accepted
time: 0ms
memory: 3812kb
input:
7881 7773
output:
219451
result:
ok 1 number(s): "219451"
Test #11:
score: 5
Accepted
time: 3ms
memory: 3816kb
input:
99414 98698
output:
8465217
result:
ok 1 number(s): "8465217"
Test #12:
score: 5
Accepted
time: 3ms
memory: 3848kb
input:
98249 96148
output:
8237486
result:
ok 1 number(s): "8237486"
Test #13:
score: 5
Accepted
time: 0ms
memory: 3856kb
input:
99003 96832
output:
8324931
result:
ok 1 number(s): "8324931"
Test #14:
score: 5
Accepted
time: 3ms
memory: 3864kb
input:
98266 96030
output:
8231065
result:
ok 1 number(s): "8231065"
Test #15:
score: 5
Accepted
time: 46ms
memory: 3848kb
input:
968207 958885
output:
223522215
result:
ok 1 number(s): "223522215"
Test #16:
score: 5
Accepted
time: 48ms
memory: 3664kb
input:
959846 998397
output:
228770873
result:
ok 1 number(s): "228770873"
Test #17:
score: 5
Accepted
time: 45ms
memory: 3852kb
input:
965821 972280
output:
225359210
result:
ok 1 number(s): "225359210"
Test #18:
score: 5
Accepted
time: 729ms
memory: 3856kb
input:
7855098 7962479
output:
4622947400
result:
ok 1 number(s): "4622947400"
Test #19:
score: 5
Accepted
time: 3717ms
memory: 3800kb
input:
7841076 29648718
output:
15040798710
result:
ok 1 number(s): "15040798710"
Test #20:
score: 5
Accepted
time: 4177ms
memory: 3856kb
input:
29365129 29012208
output:
30267839959
result:
ok 1 number(s): "30267839959"
Extra Test:
score: 0
Extra Test Passed