QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#518585 | #9158. 分数 | xieyijie | 100 ✓ | 2865ms | 3976kb | C++17 | 5.3kb | 2024-08-13 22:22:22 | 2024-08-13 22:22:22 |
Judging History
answer
/*
#include <iostream>
using namespace std;
const int MAXN = 8005;
int a[MAXN][MAXN];
// bool b[MAXN][MAXN];
int n, m;
int gcd(int x, int y) {
if (2 * x > y && x < 2 * y) {
return 0;
}
if ((x / y) % 2 == 1) {
return 0;
}
if (y == 0) {
return x;
}
return gcd(y, x % y);
}
void dfs(int x, int y, int lx, int ly) {
// if (2 * x > y && x < 2 * y) {
// return;
// }
int gc = gcd(x, y);
x /= gc;
y /= gc;
if (x < 1 || x > n || y < 1 || y > m) {
return;
}
if (a[x][y]) {
return;
}
a[x][y] = 1;
// b[x][y] = ly;
dfs(y, x, x, y);
dfs(x, y + 2 * x, x, y);
if (y > 2 * x) {
dfs(x, y - 2 * x, x, y);
}
}
// void dfs1(int x, int y) {
// // if (2 * x > y && x < 2 * y) {
// // return;
// // }
// int gc = gcd(x, y);
// x /= gc;
// y /= gc;
// if (x < 1 || x > n || y < 1 || y > m) {
// return;
// }
// if (b[x][y]) {
// return;
// }
// b[x][y] = 1;
// dfs1(y, x);
// dfs1(x, y + 2 * x);
// }
// y y%(2*x) x
//------- ==> ------- ==> -------
// x x y%(2*x)
int smp_solve(int x, int y) {
// printf("%d %d\n", x, y);
if (2 * x > y && x < 2 * y) {
return 0;
}
if (x == 0) {
return y == 1;
}
// if (y % x > x / 2 || (y / x) % 2 == 1) {
// return 0;
// }
return smp_solve(y % (2 * x), x);
}
// y%x+x,x
// y%x<x/2 (y/x)%2==0
int main() {
scanf("%d %d", &n, &m);
dfs(1, 2, 0, 0);
// dfs1(1, 2);
// for (int i = 1; i <= n; i++) {
// for (int j = 1; j <= m; j++) {
// if (a[i][j] != b[i][j]) {
// printf("%d %d\n", i, j);
// return 0;
// }
// }
// }
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
if (smp_solve(i, j)) {
printf("%d %d\n", i, j);
}
// if (smp_solve(i, j) != a[i][j]) {
// printf("%d %d", i, j);
// return 0;
// }
// if (smp_solve(i, j) != gcd(i, j)) {
// printf("%d %d %d %d\n", i, j, smp_solve(i, j), gcd(i, j));
// return 0;
// }
}
}
// for (int i = 1; i <= n; i++) {
// // printf("%d ", i);
// for (int j = 1; j <= m; j++) {
// // if (2 * i > j && i < 2 * j) {
// // printf("* ");
// // } else {
// // if (a[i][j]) {
// // printf("%d/%d ", a[i][j], b[i][j]);
// // } else {
// // printf("| ");
// // }
// // }
// if (smp_solve(i, j) != a[i][j]) {
// printf("%d %d", i, j);
// return 0;
// }
// // printf("\n\n");
// }
// // printf("\n");
// }
printf("No");
return 0;
}
*/
/*
#include <iostream>
using namespace std;
int n, m;
long long ans = 0;
void dfs(int x, int y) {
// printf("%d %d\n", x, y);
x += 2 * y;
for (; x <= max(n, m); x += 2 * y) {
// printf("%d %d\n", x, y);
if (x <= n) {
ans++;
}
if (x <= m) {
ans++;
dfs(y, x);
}
}
}
int main() {
scanf("%d %d", &n, &m);
dfs(0, 1);
printf("%lld", ans);
return 0;
}
*/
/*
#include <bits/stdc++.h>
#define ll long long
#define inf 0x3f3f3f3f
using namespace std;
int n, m;
ll ans;
void dfs2(int a, int b, int c, int d, int lb) { //(ax+b,cx+d)
ans += max(0, min(!a ? inf : (n - b) / a, (m - d) / c) - lb + 1);
ans += max(0, min(!a ? inf : (m - b) / a, (n - d) / c) - lb + 1); // ??????????
for (int i = 1;; i++) {
int p = 2 * c * i + a, q = 2 * d * i + b;
if (p * max(lb, i) + q > m)
break;
dfs2(c, d, p, q, max(lb, i));
}
} // x?????
void dfs1(int a, int b, int lb) { //(a,b)
for (int i = 1;; i++) {
int p = 2 * b * i + a;
if (2 * p * max(lb, i) + a > m)
break;
dfs1(b, p, max(lb, i));
} // x?????
dfs2(0, b, b * 2, a, lb + 1); // ??x
}
signed main() {
scanf("%d%d", &n, &m);
if (n > m)
swap(n, m);
dfs1(0, 1, 0);
printf("%lld", ans);
return 0;
}
// ???????
// break????????????????????????m??
// ?dfs1????max????1??
// dfs2???????2??
// ?????????m???????n??
// ??????????????
*/
#include <iostream>
using namespace std;
int n, m;
long long ans;
void dfs2(int a, int b, int c, int d, int x) {
ans += max(0, min(a == 0 ? (int)1e9 : (n - b) / (2 * a), (m - d) / (2 * c)) - x + 1);
ans += max(0, min(a == 0 ? (int)1e9 : (m - b) / (2 * a), (n - d) / (2 * c)) - x + 1);
int p, q;
for (int i = 1;; i++) {
p = 2 * i * c + a;
q = 2 * i * d + b;
if (2 * max(x, i) * p + q > m) {
break;
}
dfs2(c, d, p, q, max(x, i));
}
}
void dfs1(int a, int b, int x) {
int p;
for (int i = 1;; i++) {
p = 2 * i * b + a;
if (2 * (max(i, x) + 1) * p + a > m) {
break;
}
dfs1(b, p, max(x, i));
}
dfs2(0, b, b, a, x + 1);
}
int main() {
scanf("%d %d", &n, &m);
if (n > m) {
swap(n, m);
}
dfs1(0, 1, 0);
printf("%lld", ans);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Pretests
Pretest #1:
score: 5
Accepted
time: 0ms
memory: 3868kb
input:
99 99
output:
406
result:
ok 1 number(s): "406"
Pretest #2:
score: 5
Accepted
time: 0ms
memory: 3924kb
input:
98 97
output:
405
result:
ok 1 number(s): "405"
Pretest #3:
score: 5
Accepted
time: 0ms
memory: 3728kb
input:
99 96
output:
396
result:
ok 1 number(s): "396"
Pretest #4:
score: 5
Accepted
time: 0ms
memory: 3972kb
input:
995 977
output:
11153
result:
ok 1 number(s): "11153"
Pretest #5:
score: 5
Accepted
time: 0ms
memory: 3928kb
input:
991 990
output:
11220
result:
ok 1 number(s): "11220"
Pretest #6:
score: 5
Accepted
time: 0ms
memory: 3932kb
input:
976 968
output:
10900
result:
ok 1 number(s): "10900"
Pretest #7:
score: 5
Accepted
time: 0ms
memory: 3928kb
input:
7602 7864
output:
215706
result:
ok 1 number(s): "215706"
Pretest #8:
score: 5
Accepted
time: 1ms
memory: 3844kb
input:
7959 7735
output:
220256
result:
ok 1 number(s): "220256"
Pretest #9:
score: 5
Accepted
time: 0ms
memory: 3912kb
input:
7878 7863
output:
221162
result:
ok 1 number(s): "221162"
Pretest #10:
score: 5
Accepted
time: 0ms
memory: 3928kb
input:
7788 7658
output:
215323
result:
ok 1 number(s): "215323"
Pretest #11:
score: 5
Accepted
time: 2ms
memory: 3928kb
input:
95399 99767
output:
8285295
result:
ok 1 number(s): "8285295"
Pretest #12:
score: 5
Accepted
time: 2ms
memory: 3932kb
input:
98051 99642
output:
8439713
result:
ok 1 number(s): "8439713"
Pretest #13:
score: 5
Accepted
time: 2ms
memory: 3924kb
input:
95624 96007
output:
8068127
result:
ok 1 number(s): "8068127"
Pretest #14:
score: 5
Accepted
time: 2ms
memory: 3964kb
input:
99208 98047
output:
8412610
result:
ok 1 number(s): "8412610"
Pretest #15:
score: 5
Accepted
time: 29ms
memory: 3924kb
input:
997417 967722
output:
229917323
result:
ok 1 number(s): "229917323"
Pretest #16:
score: 5
Accepted
time: 27ms
memory: 3928kb
input:
987807 956529
output:
226426912
result:
ok 1 number(s): "226426912"
Pretest #17:
score: 5
Accepted
time: 31ms
memory: 3928kb
input:
971654 984345
output:
228363805
result:
ok 1 number(s): "228363805"
Pretest #18:
score: 5
Accepted
time: 489ms
memory: 3924kb
input:
7892259 7983727
output:
4647501224
result:
ok 1 number(s): "4647501224"
Pretest #19:
score: 5
Accepted
time: 2865ms
memory: 3720kb
input:
7937869 29796968
output:
15197555613
result:
ok 1 number(s): "15197555613"
Pretest #20:
score: 5
Accepted
time: 2856ms
memory: 3968kb
input:
29717543 29510173
output:
30904211576
result:
ok 1 number(s): "30904211576"
Final Tests
Test #1:
score: 5
Accepted
time: 0ms
memory: 3872kb
input:
96 98
output:
396
result:
ok 1 number(s): "396"
Test #2:
score: 5
Accepted
time: 0ms
memory: 3844kb
input:
100 99
output:
408
result:
ok 1 number(s): "408"
Test #3:
score: 5
Accepted
time: 0ms
memory: 3904kb
input:
99 99
output:
406
result:
ok 1 number(s): "406"
Test #4:
score: 5
Accepted
time: 0ms
memory: 3724kb
input:
963 951
output:
10634
result:
ok 1 number(s): "10634"
Test #5:
score: 5
Accepted
time: 0ms
memory: 3908kb
input:
958 974
output:
10795
result:
ok 1 number(s): "10795"
Test #6:
score: 5
Accepted
time: 0ms
memory: 3924kb
input:
966 990
output:
11003
result:
ok 1 number(s): "11003"
Test #7:
score: 5
Accepted
time: 0ms
memory: 3932kb
input:
7958 7947
output:
224482
result:
ok 1 number(s): "224482"
Test #8:
score: 5
Accepted
time: 0ms
memory: 3916kb
input:
7623 7730
output:
213444
result:
ok 1 number(s): "213444"
Test #9:
score: 5
Accepted
time: 0ms
memory: 3732kb
input:
7845 7783
output:
218916
result:
ok 1 number(s): "218916"
Test #10:
score: 5
Accepted
time: 0ms
memory: 3912kb
input:
7881 7773
output:
219451
result:
ok 1 number(s): "219451"
Test #11:
score: 5
Accepted
time: 2ms
memory: 3964kb
input:
99414 98698
output:
8465217
result:
ok 1 number(s): "8465217"
Test #12:
score: 5
Accepted
time: 2ms
memory: 3972kb
input:
98249 96148
output:
8237486
result:
ok 1 number(s): "8237486"
Test #13:
score: 5
Accepted
time: 2ms
memory: 3908kb
input:
99003 96832
output:
8324931
result:
ok 1 number(s): "8324931"
Test #14:
score: 5
Accepted
time: 2ms
memory: 3972kb
input:
98266 96030
output:
8231065
result:
ok 1 number(s): "8231065"
Test #15:
score: 5
Accepted
time: 30ms
memory: 3916kb
input:
968207 958885
output:
223522215
result:
ok 1 number(s): "223522215"
Test #16:
score: 5
Accepted
time: 31ms
memory: 3876kb
input:
959846 998397
output:
228770873
result:
ok 1 number(s): "228770873"
Test #17:
score: 5
Accepted
time: 30ms
memory: 3976kb
input:
965821 972280
output:
225359210
result:
ok 1 number(s): "225359210"
Test #18:
score: 5
Accepted
time: 486ms
memory: 3932kb
input:
7855098 7962479
output:
4622947400
result:
ok 1 number(s): "4622947400"
Test #19:
score: 5
Accepted
time: 2826ms
memory: 3776kb
input:
7841076 29648718
output:
15040798710
result:
ok 1 number(s): "15040798710"
Test #20:
score: 5
Accepted
time: 2790ms
memory: 3852kb
input:
29365129 29012208
output:
30267839959
result:
ok 1 number(s): "30267839959"
Extra Test:
score: 0
Extra Test Passed