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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#518585#9158. 分数xieyijie100 ✓2865ms3976kbC++175.3kb2024-08-13 22:22:222024-08-13 22:22:22

Judging History

你现在查看的是最新测评结果

  • [2024-08-13 22:22:22]
  • 评测
  • 测评结果:100
  • 用时:2865ms
  • 内存:3976kb
  • [2024-08-13 22:22:22]
  • 提交

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