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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
#207657#3752. 因数积Josephcheng1001171ms4316kbC++11800b2024-07-29 19:38:192024-07-29 20:09:20

answer

#include<bits/stdc++.h>
#define LL long long
#define N 100005
#define MOD 998244353
using namespace std;

LL m,p[N],t=1,k[N],ans=1;
LL pre[N],lst[N];

LL qpow(LL x,LL y)
{
	if(y==1) return x%MOD;
	if(y==0) return 1%MOD;
	LL res=qpow(x,y/2);
	res=(res*res)%MOD;
	if(y&1) res=(res*x)%MOD;
	return res%MOD;
}

int main()
{
	scanf("%lld",&m);
	pre[0]=lst[m+1]=1;
	for(int i=1;i<=m;i++)
		scanf("%lld",&p[i]);
	for(int i=1;i<=m;i++)
		scanf("%lld",&k[i]);
	for(int i=1;i<=m;i++)
		pre[i]=(pre[i-1]*(k[i]+1))%(MOD-1);
	for(int i=m;i>=1;i--)
		lst[i]=(lst[i+1]*(k[i]+1))%(MOD-1);
	for(int i=1;i<=m;i++){
		LL now1=(pre[i-1]*lst[i+1])%(MOD-1);
		LL now2=((k[i]+1)*k[i]/2)%(MOD-1);
		LL now=now1*now2%(MOD-1);
		ans=(ans*qpow(p[i],now))%MOD;
	}
	printf("%lld",ans%MOD);
}

详细

小提示:点击横条可展开更详细的信息

Test #1:

score: 5
Accepted
time: 0ms
memory: 1208kb

input:

9
6483823 7841627 6531457 1745437 5716133 6476347 2562589 2048159 5063327
1 1 1 3 3 4 2 3 2

output:

366170442

result:

ok "366170442"

Test #2:

score: 5
Accepted
time: 0ms
memory: 1204kb

input:

10
1877741 2586343 8391841 5733523 5462239 4869727 2672687 224131 6917221 3023513
1 1 1 3 5 1 2 2 2 2

output:

422478355

result:

ok "422478355"

Test #3:

score: 5
Accepted
time: 0ms
memory: 1208kb

input:

8
5672731 8359979 2024933 6169399 5069413 4825871 4393387 6306077
4 1 1 5 2 3 2 2

output:

7109854

result:

ok "7109854"

Test #4:

score: 5
Accepted
time: 0ms
memory: 1204kb

input:

9
6526313 3707629 9454421 98453 8100557 3776081 1702747 4999703 9301819
1 2 3 4 3 2 2 1 2

output:

675660435

result:

ok "675660435"

Test #5:

score: 5
Accepted
time: 61ms
memory: 4316kb

input:

100000
9551959 9703151 2189867 8400253 2041583 18353 6827923 4157893 1305401 1243157 1694551 1915481...

output:

395868439

result:

ok "395868439"

Test #6:

score: 5
Accepted
time: 71ms
memory: 4316kb

input:

100000
1777411 1273681 8286133 2521969 2319613 9679807 3304673 1297091 3885803 3247609 2566199 95322...

output:

598530404

result:

ok "598530404"

Test #7:

score: 5
Accepted
time: 70ms
memory: 4316kb

input:

100000
1238197 9552689 1604263 3704621 2748313 4901359 108727 4505029 3688193 4928533 9726221 362638...

output:

687191030

result:

ok "687191030"

Test #8:

score: 5
Accepted
time: 67ms
memory: 4316kb

input:

100000
5437979 182341 8064713 6661301 2602177 3929557 6259039 1488301 1378999 139361 3309469 5616557...

output:

649523073

result:

ok "649523073"

Test #9:

score: 5
Accepted
time: 57ms
memory: 4316kb

input:

100000
9379003 7849483 7194563 2999597 6585479 5785807 400903 1998701 5246399 7677589 488993 3216677...

output:

1

result:

ok "1"

Test #10:

score: 5
Accepted
time: 64ms
memory: 4312kb

input:

100000
3915157 7267069 269749 2939081 8301619 6081353 5571179 7051453 3775637 6347203 6488941 320294...

output:

940784847

result:

ok "940784847"

Test #11:

score: 5
Accepted
time: 75ms
memory: 4316kb

input:

100000
7975169 7282831 9977041 6161873 9975851 6375571 2755387 5926477 8737801 1934531 3385153 25805...

output:

503749204

result:

ok "503749204"

Test #12:

score: 5
Accepted
time: 65ms
memory: 4316kb

input:

100000
857653 6280333 11287 7485997 3780599 4999427 1839329 1438939 4407493 6502267 8494901 3309221 ...

output:

296273185

result:

ok "296273185"

Test #13:

score: 5
Accepted
time: 77ms
memory: 4312kb

input:

100000
2372507 1934113 2655053 8245711 7210999 6561637 5239391 5428469 854417 5469899 9808501 143272...

output:

893962281

result:

ok "893962281"

Test #14:

score: 5
Accepted
time: 88ms
memory: 4312kb

input:

100000
9544877 1700087 9389561 3627367 4045121 1827829 7836079 9357919 3194119 4891591 6471691 41872...

output:

741940036

result:

ok "741940036"

Test #15:

score: 5
Accepted
time: 72ms
memory: 4316kb

input:

100000
178447 5712919 6434371 1401287 7999319 966377 6907349 8838979 7719893 272737 5631221 1682671 ...

output:

878697914

result:

ok "878697914"

Test #16:

score: 5
Accepted
time: 82ms
memory: 4312kb

input:

100000
7232377 7969747 1322767 2291591 2910779 4381051 7874939 8597143 8124427 6411593 2008679 39737...

output:

530316372

result:

ok "530316372"

Test #17:

score: 5
Accepted
time: 81ms
memory: 4312kb

input:

100000
7295647 867563 345887 5121173 3200557 6001997 7972831 4003231 1567327 9891061 1513537 4118749...

output:

764801899

result:

ok "764801899"

Test #18:

score: 5
Accepted
time: 78ms
memory: 4316kb

input:

100000
265511 8930599 8924477 1516199 7493881 4028231 421847 4113943 487873 2386121 3261133 3032321 ...

output:

554924681

result:

ok "554924681"

Test #19:

score: 5
Accepted
time: 76ms
memory: 4312kb

input:

100000
1093837 8751151 9278363 7985093 5225371 6490907 9783247 4021207 2781203 1454983 8725733 29996...

output:

255683247

result:

ok "255683247"

Test #20:

score: 5
Accepted
time: 87ms
memory: 4316kb

input:

100000
9728129 7410971 2501999 2554249 7593617 7909591 1224217 115891 4244503 4454449 2527381 703767...

output:

967919386

result:

ok "967919386"