QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#306215 | #8017. 计算 | yyyyxh | 50 | 98ms | 56692kb | C++23 | 1.4kb | 2024-01-16 15:34:10 | 2024-01-16 15:34:11 |
Judging History
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'