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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#346194#983. The Hash Tableucup-team1209AC ✓15ms3716kbC++202.0kb2024-03-07 22:57:532024-03-07 22:57:54

Judging History

你现在查看的是最新测评结果

  • [2024-03-07 22:57:54]
  • 评测
  • 测评结果:AC
  • 用时:15ms
  • 内存:3716kb
  • [2024-03-07 22:57:53]
  • 提交

answer

#include<bits/stdc++.h>
using std::cin, std::cout;
using ll = long long;
using u64 = unsigned long long;
using db = double;
const int N = 200;
int t, n, m;
int p[N], c[N], cc;

ll ans = 0;

ll ipow(ll a, ll b) {
	ll ans = 1;
	for(;b;--b) ans *= a;
	return ans;
}
u64 floor_sum(u64 n, u64 m, u64 a, u64 b) {
	u64 ans = 0;
	for(;;) {
		if(a >= m) ans += n * (n - 1) / 2 * (a / m), a %= m;
		if(b >= m) ans += n * (b / m), b %= m;
		u64 ymax = a * n + b; // use u128 if it's big
		if(ymax < m) break;
		n = ymax / m;
		b = ymax % m;
		std::swap(m, a);
	}
	return ans;
}

ll solve(int index, ll a, ll b) {
	if(index == cc) {
		ll sum = 0;
		if(b % 2 == 0 || a % 2 == 0) {
			if(a % 2) a += a;
			if(b % 2) b += b;
			ll l = 0, mid = (n - 1) / a, r = (2 * n - 1) / a;

			sum += floor_sum(mid + 1, b, a, 0);
			sum += floor_sum(r - mid, b, a, 2 * n - 1 - r * a);
		} else {
			ll l = 0, mid = (n - 1) / a, r = (2 * n - 1) / a;

			sum += floor_sum((mid + 1 + 1) / 2, b * 2, a * 2, 0);
			sum += floor_sum((mid + 1 + 0) / 2, b * 2, a * 2, b + a);

			int sgn = r & 1;
			sum += floor_sum((r - mid + !sgn) / 2, b * 2, a * 2, 2 * n - 1 - r * a + sgn * a);
			sum += floor_sum((r - mid + sgn) / 2, b * 2, a * 2, 2 * n - 1 - r * a + b + !sgn * a);
		}
		return sum;
	}

	ll ans = 0;
	for(int i = 0;i <= c[index];++i) {
		ans += solve(index + 1, a * ipow(p[index], i), b * ipow(p[index], c[index] - i));
	}
	for(int i = 1;i <= c[index];++i) {
		ans -= solve(index + 1, a * ipow(p[index], i), b * ipow(p[index], c[index] - i + 1));
	}
	return ans;
}

void solve() {
	cin >> n >> m, cc = 0;
	memset(c, 0, sizeof(c));
	int x = m;
	for(int i = 2;i * i <= x;++i) {
		if(x % i == 0) {
			p[cc] = i;
			while(x % i == 0) {
				++ c[cc];
				x /= i;
			}
			++ cc;
		}
	}
	if(x > 1) p[cc] = x, c[cc] = 1, ++ cc;
	ans = solve(0, 1, 1);
	cout << ans << '\n';
}
int main() {
	std::ios::sync_with_stdio(false), cin.tie(0);
	cin >> t;
	for(int i = 0;i < t;++i) {
		solve();
	}
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3712kb

input:

3
5 4
1234 5678
5 4

output:

4
229
4

result:

ok 3 tokens

Test #2:

score: 0
Accepted
time: 1ms
memory: 3672kb

input:

5
919191919 998244353
919191919 308308924
124312512 700980343
199712020 199712020
1000000000 1000000000

output:

420069742
18975162173
34523625
619107226
36400000000

result:

ok 5 tokens

Test #3:

score: 0
Accepted
time: 0ms
memory: 3716kb

input:

5
351177178 2
236814804 3
406487669 4
107706571 5
206252441 6

output:

30831352411422332
15578125268692158
41308056059019556
2088126907497711
5908342860201211

result:

ok 5 tokens

Test #4:

score: 0
Accepted
time: 12ms
memory: 3628kb

input:

5
795965436 698377680
775372176 735134400
891189723 555660000
255414898 555660000
649803503 967458816

output:

252131828509
252898591532
196092107465
16019483439
23110007395

result:

ok 5 tokens

Test #5:

score: 0
Accepted
time: 13ms
memory: 3576kb

input:

5
980056074 669278610
786804145 536870912
94743614 669278610
925596206 551350800
277753133 735134400

output:

151494104505
16332684795
1386109471
391665329539
32367779875

result:

ok 5 tokens

Test #6:

score: 0
Accepted
time: 15ms
memory: 3708kb

input:

5
407928831 901800900
959460685 551350800
929921323 901800900
880362378 551350800
169887581 551350800

output:

24176516170
420863755861
126194540248
354298688005
13128893811

result:

ok 5 tokens

Test #7:

score: 0
Accepted
time: 1ms
memory: 3620kb

input:

5
755923335 903960666
248398318 89883150
32020160 729647777
48000958 745177909
261977197 120541067

output:

5122927135
10499768724
1250410
5736978
980686184

result:

ok 5 tokens

Test #8:

score: 0
Accepted
time: 1ms
memory: 3644kb

input:

5
120618885 904615503
860299168 970357266
2922308 99586084
116144876 802899228
621873179 98196855

output:

72362680
1890408813
77476
180492837
23279216759

result:

ok 5 tokens

Test #9:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

5
337929091 905270340
472298323 850733078
973824456 50926103
184354331 860587779
981801929 75885412

output:

2695205304
791722210
18137207967
13641011
50173808550

result:

ok 5 tokens

Test #10:

score: 0
Accepted
time: 1ms
memory: 3632kb

input:

5
725900160 906132534
140660629 407214962
935092856 84357639
706890499 221743500
461717852 516104007

output:

3448528660
288899219
61675795925
96294825272
475220310

result:

ok 5 tokens

Test #11:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

5
943210366 906787371
752627016 287590774
905995005 183214075
775132721 279464819
821646602 493792564

output:

11587484479
1606204266
21788486368
3802176853
10347608659

result:

ok 5 tokens

Test #12:

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

input:

5
943210366 900720143
752627016 900720143
905995005 942060233
775132721 942060233
821646602 962178361

output:

1522977645
931104902
1306217667
941841841
691366758

result:

ok 5 tokens