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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#306215#8017. 计算yyyyxh50 98ms56692kbC++231.4kb2024-01-16 15:34:102024-01-16 15:34:11

Judging History

你现在查看的是最新测评结果

  • [2024-01-16 15:34:11]
  • 评测
  • 测评结果:50
  • 用时:98ms
  • 内存:56692kb
  • [2024-01-16 15:34:10]
  • 提交

answer

#include <cstdio>
#include <algorithm>
using namespace std;
int read(){
	char c=getchar();int x=0;
	while(c<48||c>57) c=getchar();
	do x=(x<<1)+(x<<3)+(c^48),c=getchar();
	while(c>=48&&c<=57);
	return x;
}
const int P=998244353;
typedef long long ll;
int qp(int a,int b=P-2){
	int res=1;
	while(b){
		if(b&1) res=(ll)res*a%P;
		a=(ll)a*a%P;b>>=1;
	}
	return res;
}
ll getpw(ll a,int b){
	ll res=1;
	while(b){
		if(b&1){
			res*=a;
			if(b==1) return res;
		}
		a*=a;b>>=1;
	}
	return res;
}
const int N=10000003;
const int E=1e7;
int phi[N];
int pr[N],rk;
bool vis[N];
void solve(){
	int m=read();
	int a=read(),b=read(),c=read(),d=read();
	int l=__gcd(a,b),r=__gcd(c,d);
	ll L=getpw(m,l),R=getpw(m,r);
	// assert(L<R);
	ll T=R/m-L/m;
	int mm=m>>__builtin_ctz(m);
	int cur=0,pp=qp(2,T%(P-1)*(m&-m)%(P-1));
	auto proc=[&](int x){cur=(cur+(ll)qp(pp,x)*phi[mm/x]%P);};
	for(int i=1;i*i<=mm;++i)
		if(mm%i==0){
			proc(i);
			if(i*i<mm) proc(mm/i);
		}
	cur=(ll)cur*qp(m)%P;
	printf("%d\n",cur);
}
int main(){
	// freopen("calculate.in","r",stdin);
	// freopen("calculate.out","w",stdout);
	phi[1]=1;
	for(int i=2;i<=E;++i){
		if(!vis[i]){pr[++rk]=i;phi[i]=i-1;}
		for(int j=1;j<=rk;++j){
			int cur=i*pr[j];
			if(cur>E) break;
			vis[cur]=1;
			if(i%pr[j]) phi[cur]=phi[i]*(pr[j]-1);
			else{phi[cur]=phi[i]*pr[j];break;}
		}
	}
	int tc=read();
	while(tc--) solve();
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 5
Accepted
time: 43ms
memory: 54552kb

input:

1
2 0 0 1 1

output:

2

result:

ok 1 number(s): "2"

Test #2:

score: 0
Wrong Answer
time: 98ms
memory: 54532kb

input:

10000
9026580 948 269 622 88
9346507 381 242 826 606
9266080 948 589 28 666
8566088 808 523 402 338
9832014 278 123 146 1000
8000150 613 878 146 740
8296526 404 147 608 398
9062880 494 203 336 382
9375271 823 736 54 676
8465119 505 414 874 772
9535971 784 983 426 802
8258325 817 977 172 862
9656017 ...

output:

-476524544
36583482
-59315216
200585229
-192054088
-977048286
-59049806
921047370
149271283
549495441
-819401243
181097198
-16647721
-63177894
-337694224
346004888
983442706
884032378
246907375
-499061802
385023174
663783030
-749529079
179961669
729357055
684325623
949191782
262848270
568399251
2757...

result:

wrong answer 1st numbers differ - expected: '731703617', found: '-476524544'

Test #3:

score: 0
Wrong Answer
time: 92ms
memory: 54640kb

input:

10000
9060194 192 71 24 178
8861291 135 338 24 794
8800613 173 760 704 362
9878509 367 418 58 964
8183946 856 951 406 316
8087229 458 105 770 342
8269502 205 147 614 334
8877019 851 143 206 10
9044859 710 949 210 584
8887395 571 856 550 428
8208494 383 628 74 646
9949585 697 450 794 738
9938335 224 ...

output:

-597298919
647570858
305733932
883401245
434899318
-348371159
729058082
796336630
-949638338
177208277
861244045
-385460164
536077232
-193014485
-520801304
428086850
-542392770
-806108318
232991119
-486834521
268629101
-659924466
-904496959
719331652
-128113340
-617663202
942591036
-910764667
163626...

result:

wrong answer 1st numbers differ - expected: '255347738', found: '-597298919'

Test #4:

score: 0
Wrong Answer
time: 93ms
memory: 54564kb

input:

10000
9110615 854 153 494 298
9386442 749 922 386 696
9270958 160 53 630 562
9643022 573 997 226 836
9824638 357 16 34 332
9962202 439 312 40 854
8974913 815 436 710 876
9362731 411 272 998 760
9814831 220 961 962 274
9310979 19 890 782 588
9425378 897 14 212 870
9572172 430 419 334 166
9101141 565 ...

output:

556751174
738781512
382190642
-63762247
-313309874
955030901
313591644
329755744
251187022
-126649920
532890749
-30750822
-814284641
942407729
-417316035
-523692854
885054873
481039470
-493841099
826179506
795259277
578116534
782016457
-570710387
-86291079
944268190
-815789149
660019143
362336723
-3...

result:

wrong answer 2nd numbers differ - expected: '199156261', found: '738781512'

Test #5:

score: 0
Time Limit Exceeded

input:

4
3 4 5 6 1
2 6 1 8 10
4 1 4 2 2
5 0 10 2 10

output:


result:


Test #6:

score: 5
Accepted
time: 46ms
memory: 54556kb

input:

5
18 10 9 4 6
14 7 4 4 6
18 6 5 8 2
12 5 2 4 10
11 5 6 2 6

output:

8581218
487933114
8581218
919504178
296665006

result:

ok 5 number(s): "8581218 487933114 8581218 919504178 296665006"

Test #7:

score: 5
Accepted
time: 42ms
memory: 56692kb

input:

5
11 9 5 3 3
12 8 9 9 6
10 10 7 3 9
10 5 4 3 6
6 9 6 4 8

output:

336307822
997249957
706112470
706112470
856358531

result:

ok 5 number(s): "336307822 997249957 706112470 706112470 856358531"

Test #8:

score: 5
Accepted
time: 48ms
memory: 54528kb

input:

5
4 5 6 5 10
12 8 5 9 3
10 4 9 9 3
10 5 6 6 3
6 5 7 4 8

output:

336848941
997249957
706112470
706112470
811628181

result:

ok 5 number(s): "336848941 997249957 706112470 706112470 811628181"

Test #9:

score: 5
Accepted
time: 49ms
memory: 54644kb

input:

5
11 80 29 27 84
11 31 27 87 6
4 46 54 95 80
6 45 62 88 92
12 70 34 3 75

output:

336307822
336307822
488237375
811628181
306984283

result:

ok 5 number(s): "336307822 336307822 488237375 811628181 306984283"

Test #10:

score: 5
Accepted
time: 49ms
memory: 54564kb

input:

5
58 91 37 75 5
62 99 67 10 75
55 51 92 70 85
55 86 16 50 85
29 54 95 36 78

output:

413751362
582959663
739853128
394067700
460843296

result:

ok 5 number(s): "413751362 582959663 739853128 394067700 460843296"

Test #11:

score: 5
Accepted
time: 47ms
memory: 54548kb

input:

5
10 57 94 99 18
19 97 77 63 98
62 44 4 90 35
61 3 54 25 60
62 57 65 95 70

output:

329246322
961491285
986208581
755475251
582959663

result:

ok 5 number(s): "329246322 961491285 986208581 755475251 582959663"

Test #12:

score: 5
Accepted
time: 47ms
memory: 54640kb

input:

5
5 0 0 9 5
4 0 0 1 5
2 0 0 7 5
3 0 0 3 7
3 0 0 9 5

output:

8
4
2
4
4

result:

ok 5 number(s): "8 4 2 4 4"

Test #13:

score: 0
Wrong Answer
time: 47ms
memory: 54548kb

input:

5
1931 633 387 65 265
1334 942 887 115 455
1547 511 57 65 920
1815 983 313 575 430
1497 749 773 25 740

output:

825344814
187842409
-952259558
-976797377
-71959642

result:

wrong answer 3rd numbers differ - expected: '805026391', found: '-952259558'

Test #14:

score: 5
Accepted
time: 45ms
memory: 54472kb

input:

5
1676 347 892 10 545
1552 901 243 595 705
1585 181 32 900 215
1043 147 153 250 195
1343 519 863 610 345

output:

733422553
544857646
790296076
147846588
746361195

result:

ok 5 number(s): "733422553 544857646 790296076 147846588 746361195"

Test #15:

score: 0
Wrong Answer
time: 46ms
memory: 54528kb

input:

5
1507 98 480 995 565
1130 476 464 710 925
1556 518 459 65 445
1153 277 530 485 860
1329 191 777 315 905

output:

-665526649
401833612
450887104
293028836
782651767

result:

wrong answer 1st numbers differ - expected: '919146531', found: '-665526649'

Test #16:

score: 0
Wrong Answer
time: 56ms
memory: 54576kb

input:

5
1260 985 161 855 395
1919 286 557 10 155
1439 586 749 915 730
1297 750 832 245 855
1693 134 289 355 200

output:

751148693
7239581
141714492
897734272
587745788

result:

wrong answer 1st numbers differ - expected: '396457042', found: '751148693'

Test #17:

score: 5
Accepted
time: 45ms
memory: 54476kb

input:

5
95803 976 729 633 237
99669 606 7 489 816
80026 339 914 753 933
97238 844 430 666 537
70169 394 204 411 738

output:

263714877
43312442
266698135
743766563
112072777

result:

ok 5 number(s): "263714877 43312442 266698135 743766563 112072777"

Test #18:

score: 0
Wrong Answer
time: 43ms
memory: 54540kb

input:

5
86711 965 851 300 273
97658 466 416 633 603
89583 407 591 411 3
84126 987 514 822 837
79996 9 166 807 15

output:

625186250
-694349702
-325882903
735956991
-325376633

result:

wrong answer 2nd numbers differ - expected: '867386840', found: '-694349702'

Test #19:

score: 0
Wrong Answer
time: 48ms
memory: 54580kb

input:

5
90325 2 48 195 528
83446 123 809 897 60
92466 526 768 441 447
95582 319 251 843 447
95424 374 218 162 597

output:

-371867248
591855057
-386713878
608891613
17032847

result:

wrong answer 1st numbers differ - expected: '962318822', found: '-371867248'

Test #20:

score: 0
Wrong Answer
time: 49ms
memory: 54472kb

input:

5
80746 952 565 615 192
71949 878 950 357 789
99398 301 646 942 699
94853 670 947 141 276
82409 554 873 375 213

output:

-224271095
116730174
663315460
701166665
-465614173

result:

wrong answer 1st numbers differ - expected: '896071730', found: '-224271095'