QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#522761 | #9158. 分数 | synonym | 100 ✓ | 4718ms | 3808kb | C++23 | 1.2kb | 2024-08-17 13:22:44 | 2024-08-17 13:22:45 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define all(x) begin(x), end(x)
#define sz(x) (int) (x).size()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
/*
assumes n >= m
*/
int sdiv(int a, int b) {
//a/b
return (b==0 ? 1e9 : a/b);
}
int n,m,ans;
void dfs2(int a, int b, int c, int d, int minX) {
if (a+b*minX > n || c+d*minX > m) return;
int hix = 1e9;
hix = min(hix, sdiv(n-a,b));
hix = min(hix, sdiv(m-c,d));
assert(hix >= minX);
ans += (hix-minX)/2+1;
int hix2 = 1e9;
hix2 = min(hix2, sdiv(m-a,b));
hix2 = min(hix2, sdiv(n-c,d));
if (hix2 >= minX) {
ans += (hix2-minX)/2+1;
}
for (int u=2;; u+=2) {
int tx = max(minX,u);
int p = a+b*tx, q = c+d*tx;
if (q+p*u > n || p > m) break;
dfs2(c+a*u,d+b*u,a,b,tx);
}
}
void dfs1(int p, int q, int minX) {
if (p>n || q>m) return;
dfs2(q,p,p,0,minX);
for (int u=2;; u+=2) {
int tx = max(minX,u+2);
if (p+tx*(q+u*p) > n || q+u*p > m) break;
dfs1(q+u*p,p,tx);
}
}
signed main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
cin>>n>>m;
if (n<m) swap(n,m);
dfs1(1,0,2);
cout<<ans;
return 0;
}
Details
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Pretests
Pretest #1:
score: 5
Accepted
time: 0ms
memory: 3748kb
input:
99 99
output:
406
result:
ok 1 number(s): "406"
Pretest #2:
score: 5
Accepted
time: 0ms
memory: 3732kb
input:
98 97
output:
405
result:
ok 1 number(s): "405"
Pretest #3:
score: 5
Accepted
time: 0ms
memory: 3748kb
input:
99 96
output:
396
result:
ok 1 number(s): "396"
Pretest #4:
score: 5
Accepted
time: 0ms
memory: 3736kb
input:
995 977
output:
11153
result:
ok 1 number(s): "11153"
Pretest #5:
score: 5
Accepted
time: 0ms
memory: 3620kb
input:
991 990
output:
11220
result:
ok 1 number(s): "11220"
Pretest #6:
score: 5
Accepted
time: 0ms
memory: 3756kb
input:
976 968
output:
10900
result:
ok 1 number(s): "10900"
Pretest #7:
score: 5
Accepted
time: 0ms
memory: 3672kb
input:
7602 7864
output:
215706
result:
ok 1 number(s): "215706"
Pretest #8:
score: 5
Accepted
time: 0ms
memory: 3764kb
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: 3752kb
input:
7788 7658
output:
215323
result:
ok 1 number(s): "215323"
Pretest #11:
score: 5
Accepted
time: 0ms
memory: 3616kb
input:
95399 99767
output:
8285295
result:
ok 1 number(s): "8285295"
Pretest #12:
score: 5
Accepted
time: 3ms
memory: 3664kb
input:
98051 99642
output:
8439713
result:
ok 1 number(s): "8439713"
Pretest #13:
score: 5
Accepted
time: 3ms
memory: 3580kb
input:
95624 96007
output:
8068127
result:
ok 1 number(s): "8068127"
Pretest #14:
score: 5
Accepted
time: 3ms
memory: 3672kb
input:
99208 98047
output:
8412610
result:
ok 1 number(s): "8412610"
Pretest #15:
score: 5
Accepted
time: 53ms
memory: 3732kb
input:
997417 967722
output:
229917323
result:
ok 1 number(s): "229917323"
Pretest #16:
score: 5
Accepted
time: 52ms
memory: 3736kb
input:
987807 956529
output:
226426912
result:
ok 1 number(s): "226426912"
Pretest #17:
score: 5
Accepted
time: 50ms
memory: 3748kb
input:
971654 984345
output:
228363805
result:
ok 1 number(s): "228363805"
Pretest #18:
score: 5
Accepted
time: 815ms
memory: 3728kb
input:
7892259 7983727
output:
4647501224
result:
ok 1 number(s): "4647501224"
Pretest #19:
score: 5
Accepted
time: 3835ms
memory: 3692kb
input:
7937869 29796968
output:
15197555613
result:
ok 1 number(s): "15197555613"
Pretest #20:
score: 5
Accepted
time: 4718ms
memory: 3804kb
input:
29717543 29510173
output:
30904211576
result:
ok 1 number(s): "30904211576"
Final Tests
Test #1:
score: 5
Accepted
time: 0ms
memory: 3728kb
input:
96 98
output:
396
result:
ok 1 number(s): "396"
Test #2:
score: 5
Accepted
time: 0ms
memory: 3756kb
input:
100 99
output:
408
result:
ok 1 number(s): "408"
Test #3:
score: 5
Accepted
time: 0ms
memory: 3808kb
input:
99 99
output:
406
result:
ok 1 number(s): "406"
Test #4:
score: 5
Accepted
time: 0ms
memory: 3728kb
input:
963 951
output:
10634
result:
ok 1 number(s): "10634"
Test #5:
score: 5
Accepted
time: 0ms
memory: 3676kb
input:
958 974
output:
10795
result:
ok 1 number(s): "10795"
Test #6:
score: 5
Accepted
time: 0ms
memory: 3748kb
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: 3584kb
input:
7623 7730
output:
213444
result:
ok 1 number(s): "213444"
Test #9:
score: 5
Accepted
time: 0ms
memory: 3620kb
input:
7845 7783
output:
218916
result:
ok 1 number(s): "218916"
Test #10:
score: 5
Accepted
time: 0ms
memory: 3752kb
input:
7881 7773
output:
219451
result:
ok 1 number(s): "219451"
Test #11:
score: 5
Accepted
time: 3ms
memory: 3800kb
input:
99414 98698
output:
8465217
result:
ok 1 number(s): "8465217"
Test #12:
score: 5
Accepted
time: 3ms
memory: 3740kb
input:
98249 96148
output:
8237486
result:
ok 1 number(s): "8237486"
Test #13:
score: 5
Accepted
time: 3ms
memory: 3604kb
input:
99003 96832
output:
8324931
result:
ok 1 number(s): "8324931"
Test #14:
score: 5
Accepted
time: 3ms
memory: 3604kb
input:
98266 96030
output:
8231065
result:
ok 1 number(s): "8231065"
Test #15:
score: 5
Accepted
time: 49ms
memory: 3604kb
input:
968207 958885
output:
223522215
result:
ok 1 number(s): "223522215"
Test #16:
score: 5
Accepted
time: 53ms
memory: 3616kb
input:
959846 998397
output:
228770873
result:
ok 1 number(s): "228770873"
Test #17:
score: 5
Accepted
time: 49ms
memory: 3616kb
input:
965821 972280
output:
225359210
result:
ok 1 number(s): "225359210"
Test #18:
score: 5
Accepted
time: 814ms
memory: 3752kb
input:
7855098 7962479
output:
4622947400
result:
ok 1 number(s): "4622947400"
Test #19:
score: 5
Accepted
time: 3810ms
memory: 3804kb
input:
7841076 29648718
output:
15040798710
result:
ok 1 number(s): "15040798710"
Test #20:
score: 5
Accepted
time: 4686ms
memory: 3800kb
input:
29365129 29012208
output:
30267839959
result:
ok 1 number(s): "30267839959"
Extra Test:
score: 0
Extra Test Passed