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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#90522#5259. Skills in PillsSolitaryDream#AC ✓13ms14236kbC++201.1kb2023-03-23 14:22:512023-03-23 14:22:54

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-23 14:22:54]
  • 评测
  • 测评结果:AC
  • 用时:13ms
  • 内存:14236kb
  • [2023-03-23 14:22:51]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
const int N = 1e6 + 10;
int n, x, y, d[2], c[2];
int f[N];
int Dp(int n) {
    if (n < x && n < y) return 0;
    if (f[n]) return f[n];
    f[n] = 1e9;
    int tx = x, ty = y;
    for (int r = 0; r < 2; ++r) {
        if (d[r] >= n) {
            f[n] = min(f[n], n / tx + (n + 1) / ty); 
        } else {
            f[n] = min(f[n], Dp(n - d[r]) + c[r]);
        }
        swap(tx, ty);
    }
    return f[n];
}
int main() {
    scanf("%d%d%d", &x, &y, &n);
    long long tmp = 1ll * x * y / __gcd(x, y);
    if (tmp >= n) { printf("%d\n", n / x + n / y); return 0; }
    // puts("here");
    for (int r = 0; r < 2; ++r) {
        d[r] = 0;
        int lx = 0, ly = -1;
        if (r) swap(lx, ly);
        while (d[r] <= n) {
            ++d[r];
            if (d[r] - lx == x) ++c[r], lx = d[r];
            if (d[r] - ly == y) ++c[r], ly = d[r];
            if (lx == ly) break;
        }
    }
    // printf("%d %d\n%d %d\n", d[0], c[0], d[1], c[1]);
    int ans = Dp(n - tmp) + (tmp / x) + (tmp / y);
    printf("%d\n", ans);
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3516kb

input:

3 9 20

output:

8

result:

ok single line: '8'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

8 2 12

output:

7

result:

ok single line: '7'

Test #3:

score: 0
Accepted
time: 2ms
memory: 3580kb

input:

2 5 15

output:

10

result:

ok single line: '10'

Test #4:

score: 0
Accepted
time: 1ms
memory: 3560kb

input:

10 8 13

output:

2

result:

ok single line: '2'

Test #5:

score: 0
Accepted
time: 2ms
memory: 3516kb

input:

6 6 19

output:

6

result:

ok single line: '6'

Test #6:

score: 0
Accepted
time: 2ms
memory: 3560kb

input:

2 3 5

output:

3

result:

ok single line: '3'

Test #7:

score: 0
Accepted
time: 2ms
memory: 3556kb

input:

4 2 8

output:

6

result:

ok single line: '6'

Test #8:

score: 0
Accepted
time: 2ms
memory: 3556kb

input:

5 5 5

output:

2

result:

ok single line: '2'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3464kb

input:

3 8 11

output:

4

result:

ok single line: '4'

Test #10:

score: 0
Accepted
time: 2ms
memory: 3556kb

input:

5 8 16

output:

5

result:

ok single line: '5'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

9 7 279

output:

70

result:

ok single line: '70'

Test #12:

score: 0
Accepted
time: 2ms
memory: 3512kb

input:

8 3 56

output:

25

result:

ok single line: '25'

Test #13:

score: 0
Accepted
time: 2ms
memory: 3584kb

input:

5 9 46

output:

14

result:

ok single line: '14'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

8 4 251

output:

93

result:

ok single line: '93'

Test #15:

score: 0
Accepted
time: 2ms
memory: 3580kb

input:

8 7 41

output:

10

result:

ok single line: '10'

Test #16:

score: 0
Accepted
time: 1ms
memory: 3520kb

input:

60 17 360

output:

27

result:

ok single line: '27'

Test #17:

score: 0
Accepted
time: 0ms
memory: 3520kb

input:

16 55 388

output:

31

result:

ok single line: '31'

Test #18:

score: 0
Accepted
time: 2ms
memory: 3744kb

input:

25 38 292

output:

18

result:

ok single line: '18'

Test #19:

score: 0
Accepted
time: 2ms
memory: 3508kb

input:

22 59 177

output:

11

result:

ok single line: '11'

Test #20:

score: 0
Accepted
time: 2ms
memory: 3508kb

input:

4 3 82

output:

50

result:

ok single line: '50'

Test #21:

score: 0
Accepted
time: 6ms
memory: 5756kb

input:

77 18 511543

output:

35070

result:

ok single line: '35070'

Test #22:

score: 0
Accepted
time: 8ms
memory: 7648kb

input:

37 32 987861

output:

57612

result:

ok single line: '57612'

Test #23:

score: 0
Accepted
time: 5ms
memory: 4788kb

input:

29 8 300899

output:

48059

result:

ok single line: '48059'

Test #24:

score: 0
Accepted
time: 0ms
memory: 5588kb

input:

73 83 533839

output:

13745

result:

ok single line: '13745'

Test #25:

score: 0
Accepted
time: 4ms
memory: 4304kb

input:

12 23 181193

output:

23008

result:

ok single line: '23008'

Test #26:

score: 0
Accepted
time: 3ms
memory: 3460kb

input:

2 2 864514

output:

864514

result:

ok single line: '864514'

Test #27:

score: 0
Accepted
time: 1ms
memory: 4444kb

input:

27 7 165249

output:

29765

result:

ok single line: '29765'

Test #28:

score: 0
Accepted
time: 13ms
memory: 8888kb

input:

15 2 751665

output:

429522

result:

ok single line: '429522'

Test #29:

score: 0
Accepted
time: 3ms
memory: 3524kb

input:

2 16 818146

output:

460207

result:

ok single line: '460207'

Test #30:

score: 0
Accepted
time: 6ms
memory: 5964kb

input:

43 88 631366

output:

21860

result:

ok single line: '21860'

Test #31:

score: 0
Accepted
time: 2ms
memory: 3576kb

input:

215 1222 3597

output:

18

result:

ok single line: '18'

Test #32:

score: 0
Accepted
time: 2ms
memory: 3512kb

input:

9619 3375 604892

output:

241

result:

ok single line: '241'

Test #33:

score: 0
Accepted
time: 1ms
memory: 3748kb

input:

861 1924 311511

output:

522

result:

ok single line: '522'

Test #34:

score: 0
Accepted
time: 2ms
memory: 3748kb

input:

9249 3782 866972

output:

322

result:

ok single line: '322'

Test #35:

score: 0
Accepted
time: 2ms
memory: 3504kb

input:

7055 8386 206874

output:

53

result:

ok single line: '53'

Test #36:

score: 0
Accepted
time: 1ms
memory: 3728kb

input:

6273 7732 122377

output:

34

result:

ok single line: '34'

Test #37:

score: 0
Accepted
time: 2ms
memory: 3580kb

input:

8057 7746 89137

output:

22

result:

ok single line: '22'

Test #38:

score: 0
Accepted
time: 2ms
memory: 3576kb

input:

9215 8952 74618

output:

16

result:

ok single line: '16'

Test #39:

score: 0
Accepted
time: 2ms
memory: 3580kb

input:

7246 3709 129579

output:

51

result:

ok single line: '51'

Test #40:

score: 0
Accepted
time: 1ms
memory: 3580kb

input:

4052 6785 831888

output:

327

result:

ok single line: '327'

Test #41:

score: 0
Accepted
time: 3ms
memory: 4400kb

input:

9 2 91067

output:

56916

result:

ok single line: '56916'

Test #42:

score: 0
Accepted
time: 9ms
memory: 9268kb

input:

10 3 913595

output:

406041

result:

ok single line: '406041'

Test #43:

score: 0
Accepted
time: 2ms
memory: 3532kb

input:

2 2 152575

output:

152575

result:

ok single line: '152575'

Test #44:

score: 0
Accepted
time: 4ms
memory: 3560kb

input:

2 2 927771

output:

927771

result:

ok single line: '927771'

Test #45:

score: 0
Accepted
time: 4ms
memory: 11040kb

input:

6 7 637014

output:

200204

result:

ok single line: '200204'

Test #46:

score: 0
Accepted
time: 9ms
memory: 13084kb

input:

5 3 721417

output:

400786

result:

ok single line: '400786'

Test #47:

score: 0
Accepted
time: 4ms
memory: 4532kb

input:

5 9 183079

output:

57538

result:

ok single line: '57538'

Test #48:

score: 0
Accepted
time: 11ms
memory: 8832kb

input:

9 2 579290

output:

362055

result:

ok single line: '362055'

Test #49:

score: 0
Accepted
time: 3ms
memory: 14236kb

input:

3 4 546909

output:

341817

result:

ok single line: '341817'

Test #50:

score: 0
Accepted
time: 4ms
memory: 3744kb

input:

2 2 932611

output:

932611

result:

ok single line: '932611'