QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#711253#9158. 分数Qwerty123295 5214ms3932kbC++232.6kb2024-11-05 08:08:592024-11-05 08:09:00

Judging History

你现在查看的是最新测评结果

  • [2024-11-05 08:09:00]
  • 评测
  • 测评结果:95
  • 用时:5214ms
  • 内存:3932kb
  • [2024-11-05 08:08:59]
  • 提交

answer

#include <bits/stdc++.h>

struct Frac {
    int64_t a, b, c, d;
    // (ax + b) / (cx + d)

    Frac() {
        a = d = 1;
        b = c = 0;
    }

    Frac(int64_t a, int64_t b, int64_t c, int64_t d) : a(a), b(b), c(c), d(d) { ; }

    std::pair<int64_t, int64_t> get(int x, int y) const {
        return {a * x + b * y, c * x + d * y};
    }

    int64_t get_max(int x, int y) const {
        auto [a, b] = get(x, y);
        return std::max(a, b);
    }
};

Frac comp(const Frac& l, const Frac& r) {
    Frac res = {
        int(l.a) * 1LL * int(r.a) + int(l.b) * 1LL * int(r.c),
        int(l.a) * 1LL * int(r.b) + int(l.b) * 1LL * int(r.d),
        int(l.c) * 1LL * int(r.a) + int(l.d) * 1LL * int(r.c),
        int(l.c) * 1LL * int(r.b) + int(l.d) * 1LL * int(r.d)};

    return res;
}

int n, m, N;
int64_t ans;

int64_t dfs2_calls = 0;

bool dfs2(int p, int q, int x, const Frac& f) {
    dfs2_calls++;

    if (p + 2LL * x * q > N) {
        return false;
    }
    auto [a0, b0] = f.get(p + 2 * x * q, q);
    {
        if (std::max(a0, b0) > N || std::min(a0, b0) > std::min(n, m)) {
            return false;
        }
    }

    int p1 = f.a * q, p2 = f.a * p + f.b * q;
    int q1 = f.c * q, q2 = f.c * p + f.d * q;

    int64_t dlt = 0;
    for (auto [n, m] : std::array{std::pair{::n, ::m}, std::pair{::m, ::n}}) {
        int r1 = n - p2 - p1 * 2 * x;
        int r2 = m - q2 - q1 * 2 * x;

        if (std::min(r1, r2) >= 0) {
            r1 = p1 == 0 ? int(1e9) : r1 / (2 * p1) + 1;
            r2 = q1 == 0 ? int(1e9) : r2 / (2 * q1) + 1;
            int dt = std::min(r1, r2);
            dlt += dt;
        }
    }

    // std::cerr << dlt << " ";
    ans += dlt;

    for (int k = 1; a0 + 2 * k * b0 <= N; k++) {
        int x2 = std::max(x, k);

        if (!dfs2(p, q, std::max(x, k), comp(Frac(0, 1, 1, 2 * k), f))) {
            break;
        }
    }
    return true;
}

bool dfs1(int a, int b, int x = 0) {
    if (std::max(a, b) > N) {
        return false;
    }
    // if (a + 2LL * (x + 1) * b > N) {
    //     return false;
    // }
    if (!dfs2(a, b, x + 1, Frac(0, 1, 1, 0))) {
        return false;
    }
    for (int k = 1; a + 2 * k * b <= N && b + 2LL * (std::max(x, k) + 1) * (a + 2 * k * b) <= N; k++) {
        if (!dfs1(b, a + 2 * k * b, std::max(x, k))) {
            break;
        }
    }
    return true;
}

int32_t main() {
    n = m = 3e7;
    std::cin >> n >> m;

    N = std::max(n, m);

    dfs1(0, 1, 0);

    std::cout << ans << "\n";
    std::cerr << dfs2_calls / 1e6 << " M\n";

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Pretests

Pretest #1:

score: 5
Accepted
time: 0ms
memory: 3844kb

input:

99 99

output:

406

result:

ok 1 number(s): "406"

Pretest #2:

score: 5
Accepted
time: 0ms
memory: 3896kb

input:

98 97

output:

405

result:

ok 1 number(s): "405"

Pretest #3:

score: 5
Accepted
time: 0ms
memory: 3848kb

input:

99 96

output:

396

result:

ok 1 number(s): "396"

Pretest #4:

score: 5
Accepted
time: 0ms
memory: 3844kb

input:

995 977

output:

11153

result:

ok 1 number(s): "11153"

Pretest #5:

score: 5
Accepted
time: 0ms
memory: 3832kb

input:

991 990

output:

11220

result:

ok 1 number(s): "11220"

Pretest #6:

score: 5
Accepted
time: 0ms
memory: 3888kb

input:

976 968

output:

10900

result:

ok 1 number(s): "10900"

Pretest #7:

score: 5
Accepted
time: 1ms
memory: 3848kb

input:

7602 7864

output:

215706

result:

ok 1 number(s): "215706"

Pretest #8:

score: 5
Accepted
time: 1ms
memory: 3888kb

input:

7959 7735

output:

220256

result:

ok 1 number(s): "220256"

Pretest #9:

score: 5
Accepted
time: 1ms
memory: 3836kb

input:

7878 7863

output:

221162

result:

ok 1 number(s): "221162"

Pretest #10:

score: 5
Accepted
time: 0ms
memory: 3840kb

input:

7788 7658

output:

215323

result:

ok 1 number(s): "215323"

Pretest #11:

score: 5
Accepted
time: 4ms
memory: 3816kb

input:

95399 99767

output:

8285295

result:

ok 1 number(s): "8285295"

Pretest #12:

score: 5
Accepted
time: 4ms
memory: 3892kb

input:

98051 99642

output:

8439713

result:

ok 1 number(s): "8439713"

Pretest #13:

score: 5
Accepted
time: 4ms
memory: 3932kb

input:

95624 96007

output:

8068127

result:

ok 1 number(s): "8068127"

Pretest #14:

score: 5
Accepted
time: 4ms
memory: 3848kb

input:

99208 98047

output:

8412610

result:

ok 1 number(s): "8412610"

Pretest #15:

score: 5
Accepted
time: 71ms
memory: 3884kb

input:

997417 967722

output:

229917323

result:

ok 1 number(s): "229917323"

Pretest #16:

score: 5
Accepted
time: 68ms
memory: 3836kb

input:

987807 956529

output:

226426912

result:

ok 1 number(s): "226426912"

Pretest #17:

score: 5
Accepted
time: 70ms
memory: 3892kb

input:

971654 984345

output:

228363805

result:

ok 1 number(s): "228363805"

Pretest #18:

score: 5
Accepted
time: 1110ms
memory: 3932kb

input:

7892259 7983727

output:

4647501224

result:

ok 1 number(s): "4647501224"

Pretest #19:

score: 5
Accepted
time: 5214ms
memory: 3836kb

input:

7937869 29796968

output:

15197555613

result:

ok 1 number(s): "15197555613"

Pretest #20:

score: 0
Time Limit Exceeded

input:

29717543 29510173

output:


result:



Final Tests

Test #1:

score: 5
Accepted
time: 0ms
memory: 3756kb

input:

96 98

output:

396

result:

ok 1 number(s): "396"

Test #2:

score: 5
Accepted
time: 0ms
memory: 3896kb

input:

100 99

output:

408

result:

ok 1 number(s): "408"

Test #3:

score: 5
Accepted
time: 0ms
memory: 3824kb

input:

99 99

output:

406

result:

ok 1 number(s): "406"

Test #4:

score: 5
Accepted
time: 0ms
memory: 3836kb

input:

963 951

output:

10634

result:

ok 1 number(s): "10634"

Test #5:

score: 5
Accepted
time: 0ms
memory: 3848kb

input:

958 974

output:

10795

result:

ok 1 number(s): "10795"

Test #6:

score: 5
Accepted
time: 0ms
memory: 3892kb

input:

966 990

output:

11003

result:

ok 1 number(s): "11003"

Test #7:

score: 5
Accepted
time: 1ms
memory: 3888kb

input:

7958 7947

output:

224482

result:

ok 1 number(s): "224482"

Test #8:

score: 5
Accepted
time: 1ms
memory: 3848kb

input:

7623 7730

output:

213444

result:

ok 1 number(s): "213444"

Test #9:

score: 5
Accepted
time: 0ms
memory: 3888kb

input:

7845 7783

output:

218916

result:

ok 1 number(s): "218916"

Test #10:

score: 5
Accepted
time: 0ms
memory: 3840kb

input:

7881 7773

output:

219451

result:

ok 1 number(s): "219451"

Test #11:

score: 5
Accepted
time: 4ms
memory: 3752kb

input:

99414 98698

output:

8465217

result:

ok 1 number(s): "8465217"

Test #12:

score: 5
Accepted
time: 4ms
memory: 3932kb

input:

98249 96148

output:

8237486

result:

ok 1 number(s): "8237486"

Test #13:

score: 5
Accepted
time: 4ms
memory: 3832kb

input:

99003 96832

output:

8324931

result:

ok 1 number(s): "8324931"

Test #14:

score: 5
Accepted
time: 0ms
memory: 3840kb

input:

98266 96030

output:

8231065

result:

ok 1 number(s): "8231065"

Test #15:

score: 5
Accepted
time: 68ms
memory: 3892kb

input:

968207 958885

output:

223522215

result:

ok 1 number(s): "223522215"

Test #16:

score: 5
Accepted
time: 72ms
memory: 3888kb

input:

959846 998397

output:

228770873

result:

ok 1 number(s): "228770873"

Test #17:

score: 5
Accepted
time: 68ms
memory: 3836kb

input:

965821 972280

output:

225359210

result:

ok 1 number(s): "225359210"

Test #18:

score: 5
Accepted
time: 1104ms
memory: 3808kb

input:

7855098 7962479

output:

4622947400

result:

ok 1 number(s): "4622947400"

Test #19:

score: 5
Accepted
time: 5156ms
memory: 3896kb

input:

7841076 29648718

output:

15040798710

result:

ok 1 number(s): "15040798710"

Test #20:

score: 0
Time Limit Exceeded

input:

29365129 29012208

output:


result: