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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#240102#6519. X Equals YzltAC ✓2122ms11032kbC++142.0kb2023-11-05 11:55:432023-11-05 11:55:43

Judging History

你现在查看的是最新测评结果

  • [2023-11-05 11:55:43]
  • 评测
  • 测评结果:AC
  • 用时:2122ms
  • 内存:11032kb
  • [2023-11-05 11:55:43]
  • 提交

answer

// Problem: J. X Equals Y
// Contest: Codeforces - The 2023 Guangdong Provincial Collegiate Programming Contest
// URL: https://codeforces.com/gym/104369/problem/J
// Memory Limit: 1024 MB
// Time Limit: 3000 ms
// 
// Powered by CP Editor (https://cpeditor.org)

#include <bits/stdc++.h>
#define pb emplace_back
#define fst first
#define scd second
#define mkp make_pair
#define mems(a, x) memset((a), (x), sizeof(a))

using namespace std;
typedef long long ll;
typedef double db;
typedef unsigned long long ull;
typedef long double ldb;
typedef pair<ll, ll> pii;

ll X, Y, A, B;

inline ll mysqrt(ll x) {
	for (ll i = max((ll)sqrt(x) - 2, 0LL);; ++i) {
		if (i * i > x) {
			return i - 1;
		}
	}
}

void solve() {
	scanf("%lld%lld%lld%lld", &X, &Y, &A, &B);
	if (X == Y) {
		puts("YES\n2 2");
		return;
	}
	ll sx = mysqrt(X), sy = mysqrt(Y);
	map<ll, pii> M;
	for (ll i = 2, j; i <= X && i <= A; i = j + 1) {
		j = X / (X / i);
		M[X / i] = mkp(i, min(j, A));
	}
	for (ll i = 2, j; i <= Y && i <= B; i = j + 1) {
		j = Y / (Y / i);
		if (M.find(Y / i) == M.end()) {
			continue;
		}
		ll t = Y / i;
		ll l1 = M[t].fst, r1 = M[t].scd, l2 = i, r2 = min(j, B);
		if ((Y - X) % t) {
			continue;
		}
		ll d = (Y - X) / t;
		if (l2 - r1 <= d && d <= r2 - l1) {
			ll a = l1;
			ll b = a + d;
			if (b < l2) {
				ll p = l2 - b;
				a += p;
				b += p;
			}
			if (a > sx && b > sy) {
				printf("YES\n%lld %lld\n", a, b);
				return;
			}
		}
	}
	map< vector<ll>, ll > mp;
	for (ll a = 2; a <= A && a <= sx; ++a) {
		vector<ll> vc;
		ll x = X;
		while (x) {
			vc.pb(x % a);
			x /= a;
		}
		reverse(vc.begin(), vc.end());
		mp[vc] = a;
	}
	for (ll a = 2; a <= B && a <= sy; ++a) {
		vector<ll> vc;
		ll x = Y;
		while (x) {
			vc.pb(x % a);
			x /= a;
		}
		reverse(vc.begin(), vc.end());
		if (mp.find(vc) != mp.end()) {
			printf("YES\n%lld %lld\n", mp[vc], a);
			return;
		}
	}
	puts("NO");
}

int main() {
	int T = 1;
	scanf("%d", &T);
	while (T--) {
		solve();
	}
	return 0;
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3644kb

input:

6
1 1 1000 1000
1 2 1000 1000
3 11 1000 1000
157 291 5 6
157 291 3 6
10126 114514 789 12345

output:

YES
2 2
NO
YES
2 10
YES
4 5
NO
YES
779 9478

result:

ok correct (6 test cases)

Test #2:

score: 0
Accepted
time: 2ms
memory: 3636kb

input:

1000
920 661 756 534
52 454 31 218
980 77 812 6
729 733 289 660
161 643 21 475
602 525 329 274
782 167 279 113
875 100 388 16
426 498 341 417
433 751 312 39
91 50 47 39
941 388 247 46
725 808 148 486
945 405 700 145
647 509 152 445
45 564 16 468
843 40 530 3
722 36 323 22
568 472 443 41
38 749 25 42...

output:

YES
120 83
YES
8 75
NO
YES
146 147
NO
YES
51 44
YES
151 28
NO
YES
23 27
NO
NO
NO
NO
YES
52 22
YES
96 73
YES
12 185
NO
NO
YES
34 28
YES
10 247
NO
NO
YES
98 10
YES
132 101
NO
YES
220 119
NO
YES
20 63
NO
YES
65 28
NO
NO
YES
37 21
YES
6 5
NO
NO
NO
NO
NO
YES
43 17
NO
YES
36 34
YES
21 41
YES
95 14
NO
NO
N...

result:

ok correct (1000 test cases)

Test #3:

score: 0
Accepted
time: 197ms
memory: 3900kb

input:

1000
312788 308299 292039 230765
263760 329714 198045 86472
945524 951268 792172 748100
922790 262573 363596 34883
755556 714487 234743 610394
413603 489527 114329 351936
409240 356171 378350 234973
300813 97383 263307 49846
579258 900270 84403 704902
563965 876076 387516 770189
36896 156893 23161 1...

output:

YES
4601 4534
YES
2665 3338
YES
1316 1324
NO
YES
95178 89311
YES
805 953
YES
231155 178086
YES
9923 3142
YES
801 1245
YES
56397 91076
YES
543 2334
YES
21813 21356
YES
483 960
YES
1106 587
YES
894 865
YES
1360 9003
NO
YES
10582 4091
YES
12451 8292
YES
580 2359
YES
1144 1101
YES
1765 1712
YES
440 1814...

result:

ok correct (1000 test cases)

Test #4:

score: 0
Accepted
time: 630ms
memory: 11032kb

input:

1000
981241785 906230829 601363803 626653490
197057696 698550046 128696358 449956015
182548925 796382933 101642956 339324198
816288818 177783961 308532802 32376477
628394197 777548138 355072973 757299936
599075146 752655475 473746059 323396924
261214299 95047810 181049121 60329182
7484303 329571035 ...

output:

YES
35005 32329
YES
15697 55647
YES
54705 238708
YES
146889 31988
YES
14961767 18599668
YES
26084 32771
NO
YES
4908 216251
YES
1773823 1745826
YES
29675 32561
NO
YES
8104797 7759486
YES
52542 390541
YES
43464 45193
YES
66310 101363
YES
3084325 539148
YES
3152879 758952
NO
YES
52717 115814
YES
696930...

result:

ok correct (1000 test cases)

Test #5:

score: 0
Accepted
time: 73ms
memory: 3848kb

input:

1000
11131470 5473008 893 586
160457243 377399003 195 363
33293118 10204988 348 650
76153236 165484206 788 591
363322142 108960566 994 862
10849 1346589 861 662
425071 7754389 221 245
5472186 246060285 479 804
699145 16995055 56 861
215170 3080970 423 722
355522 9691597 211 923
24159424 15965332 579...

output:

YES
36 30
YES
50 62
YES
50 37
NO
NO
YES
16 86
YES
28 74
YES
10 19
NO
YES
33 83
YES
16 37
YES
93 81
YES
70 80
NO
YES
50 56
YES
99 29
YES
47 33
YES
2 2
YES
14 77
YES
89 84
YES
42 7
YES
48 93
YES
48 22
YES
63 48
YES
73 96
NO
YES
21 20
YES
36 55
YES
68 24
YES
11 89
YES
36 64
YES
13 34
YES
57 59
YES
65 6...

result:

ok correct (1000 test cases)

Test #6:

score: 0
Accepted
time: 2122ms
memory: 11020kb

input:

1000
999502221 994905890 324112256 607121052
999502221 994905890 324112256 607121052
999502221 994905890 324112256 607121052
999502221 994905890 324112256 607121052
999502221 994905890 324112256 607121052
999502221 994905890 324112256 607121052
999502221 994905890 324112256 607121052
999502221 99490...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

ok correct (1000 test cases)