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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#101374#5259. Skills in PillsDestroyXuanQuang#AC ✓368ms57124kbC++231.2kb2023-04-29 12:15:582023-04-29 12:16:01

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.
  • [2023-04-29 12:16:01]
  • 评测
  • 测评结果:AC
  • 用时:368ms
  • 内存:57124kb
  • [2023-04-29 12:15:58]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

#define int long long

int lcm(int x, int y) {
	return x*y/__gcd(x, y);
}

signed main() {
	ios::sync_with_stdio(0); cin.tie(0);
	
	int n, a, b; cin >> a >> b >> n;
	if (a == 2 && b == 2) {
		cout << n << '\n';
		return 0;
	}

	int lc = lcm(a, b);
	if (n <= lc) {
		cout << n/a + n/b << '\n';
		return 0;
	}

	priority_queue<tuple<int, int, int>> pq; // 0 = 'AB', 1 = 'BA'
	pq.push({-(lc/a + lc/b), lc, 0}); 
	pq.push({-(lc/a + lc/b), lc, 1});

	vector<vector<int>> vis(n+1, vector<int>(2));

	int ans = n;
	while (pq.size()) {
		auto [dis, u, st] = pq.top(); pq.pop();
		if (vis[u][st]) continue;
		vis[u][st] = 1;

		int curA = u, curB = u;
		if (st) curB--; else curA--;

		int ds = -dis;
		while (1) {
			int nxtA = curA + a;
			int nxtB = curB + b;
			if (nxtA > n && nxtB > n) {
				ans = min(ans, ds);
				break;
			}
			if (nxtA < nxtB) {
				ds++; curA = nxtA;
				continue;
			}
			if (nxtA > nxtB) {
				ds++; curB = nxtB;
				continue;
			}
			if (nxtA == nxtB) {
				pq.push({-(ds+2), nxtA, 0});
				pq.push({-(ds+2), nxtA, 1});
				break;
			}
		}
	}
	cout << ans << '\n';

	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3348kb

input:

3 9 20

output:

8

result:

ok single line: '8'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3352kb

input:

8 2 12

output:

7

result:

ok single line: '7'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3424kb

input:

2 5 15

output:

10

result:

ok single line: '10'

Test #4:

score: 0
Accepted
time: 1ms
memory: 3384kb

input:

10 8 13

output:

2

result:

ok single line: '2'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3420kb

input:

6 6 19

output:

6

result:

ok single line: '6'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3356kb

input:

2 3 5

output:

3

result:

ok single line: '3'

Test #7:

score: 0
Accepted
time: 2ms
memory: 3360kb

input:

4 2 8

output:

6

result:

ok single line: '6'

Test #8:

score: 0
Accepted
time: 2ms
memory: 3444kb

input:

5 5 5

output:

2

result:

ok single line: '2'

Test #9:

score: 0
Accepted
time: 2ms
memory: 3384kb

input:

3 8 11

output:

4

result:

ok single line: '4'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3388kb

input:

5 8 16

output:

5

result:

ok single line: '5'

Test #11:

score: 0
Accepted
time: 2ms
memory: 3376kb

input:

9 7 279

output:

70

result:

ok single line: '70'

Test #12:

score: 0
Accepted
time: 2ms
memory: 3384kb

input:

8 3 56

output:

25

result:

ok single line: '25'

Test #13:

score: 0
Accepted
time: 1ms
memory: 3384kb

input:

5 9 46

output:

14

result:

ok single line: '14'

Test #14:

score: 0
Accepted
time: 2ms
memory: 3376kb

input:

8 4 251

output:

93

result:

ok single line: '93'

Test #15:

score: 0
Accepted
time: 1ms
memory: 3356kb

input:

8 7 41

output:

10

result:

ok single line: '10'

Test #16:

score: 0
Accepted
time: 2ms
memory: 3436kb

input:

60 17 360

output:

27

result:

ok single line: '27'

Test #17:

score: 0
Accepted
time: 2ms
memory: 3348kb

input:

16 55 388

output:

31

result:

ok single line: '31'

Test #18:

score: 0
Accepted
time: 2ms
memory: 3392kb

input:

25 38 292

output:

18

result:

ok single line: '18'

Test #19:

score: 0
Accepted
time: 2ms
memory: 3376kb

input:

22 59 177

output:

11

result:

ok single line: '11'

Test #20:

score: 0
Accepted
time: 1ms
memory: 3448kb

input:

4 3 82

output:

50

result:

ok single line: '50'

Test #21:

score: 0
Accepted
time: 155ms
memory: 31232kb

input:

77 18 511543

output:

35070

result:

ok single line: '35070'

Test #22:

score: 0
Accepted
time: 368ms
memory: 57124kb

input:

37 32 987861

output:

57612

result:

ok single line: '57612'

Test #23:

score: 0
Accepted
time: 31ms
memory: 19500kb

input:

29 8 300899

output:

48059

result:

ok single line: '48059'

Test #24:

score: 0
Accepted
time: 44ms
memory: 32140kb

input:

73 83 533839

output:

13745

result:

ok single line: '13745'

Test #25:

score: 0
Accepted
time: 71ms
memory: 13016kb

input:

12 23 181193

output:

23008

result:

ok single line: '23008'

Test #26:

score: 0
Accepted
time: 2ms
memory: 3344kb

input:

2 2 864514

output:

864514

result:

ok single line: '864514'

Test #27:

score: 0
Accepted
time: 63ms
memory: 12176kb

input:

27 7 165249

output:

29765

result:

ok single line: '29765'

Test #28:

score: 0
Accepted
time: 153ms
memory: 44224kb

input:

15 2 751665

output:

429522

result:

ok single line: '429522'

Test #29:

score: 0
Accepted
time: 25ms
memory: 47796kb

input:

2 16 818146

output:

460207

result:

ok single line: '460207'

Test #30:

score: 0
Accepted
time: 51ms
memory: 37632kb

input:

43 88 631366

output:

21860

result:

ok single line: '21860'

Test #31:

score: 0
Accepted
time: 0ms
memory: 3356kb

input:

215 1222 3597

output:

18

result:

ok single line: '18'

Test #32:

score: 0
Accepted
time: 2ms
memory: 3388kb

input:

9619 3375 604892

output:

241

result:

ok single line: '241'

Test #33:

score: 0
Accepted
time: 1ms
memory: 3344kb

input:

861 1924 311511

output:

522

result:

ok single line: '522'

Test #34:

score: 0
Accepted
time: 0ms
memory: 3424kb

input:

9249 3782 866972

output:

322

result:

ok single line: '322'

Test #35:

score: 0
Accepted
time: 0ms
memory: 3364kb

input:

7055 8386 206874

output:

53

result:

ok single line: '53'

Test #36:

score: 0
Accepted
time: 1ms
memory: 3444kb

input:

6273 7732 122377

output:

34

result:

ok single line: '34'

Test #37:

score: 0
Accepted
time: 1ms
memory: 3444kb

input:

8057 7746 89137

output:

22

result:

ok single line: '22'

Test #38:

score: 0
Accepted
time: 0ms
memory: 3368kb

input:

9215 8952 74618

output:

16

result:

ok single line: '16'

Test #39:

score: 0
Accepted
time: 2ms
memory: 3332kb

input:

7246 3709 129579

output:

51

result:

ok single line: '51'

Test #40:

score: 0
Accepted
time: 2ms
memory: 3356kb

input:

4052 6785 831888

output:

327

result:

ok single line: '327'

Test #41:

score: 0
Accepted
time: 18ms
memory: 8024kb

input:

9 2 91067

output:

56916

result:

ok single line: '56916'

Test #42:

score: 0
Accepted
time: 250ms
memory: 53072kb

input:

10 3 913595

output:

406041

result:

ok single line: '406041'

Test #43:

score: 0
Accepted
time: 2ms
memory: 3360kb

input:

2 2 152575

output:

152575

result:

ok single line: '152575'

Test #44:

score: 0
Accepted
time: 1ms
memory: 3424kb

input:

2 2 927771

output:

927771

result:

ok single line: '927771'

Test #45:

score: 0
Accepted
time: 189ms
memory: 37968kb

input:

6 7 637014

output:

200204

result:

ok single line: '200204'

Test #46:

score: 0
Accepted
time: 145ms
memory: 42312kb

input:

5 3 721417

output:

400786

result:

ok single line: '400786'

Test #47:

score: 0
Accepted
time: 48ms
memory: 12960kb

input:

5 9 183079

output:

57538

result:

ok single line: '57538'

Test #48:

score: 0
Accepted
time: 93ms
memory: 34856kb

input:

9 2 579290

output:

362055

result:

ok single line: '362055'

Test #49:

score: 0
Accepted
time: 115ms
memory: 32992kb

input:

3 4 546909

output:

341817

result:

ok single line: '341817'

Test #50:

score: 0
Accepted
time: 2ms
memory: 3424kb

input:

2 2 932611

output:

932611

result:

ok single line: '932611'