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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#181483#5477. Cake DecorationSolitaryDream#AC ✓6229ms3592kbC++203.7kb2023-09-16 19:36:522023-09-16 19:36:52

Judging History

你现在查看的是最新测评结果

  • [2023-09-16 19:36:52]
  • 评测
  • 测评结果：AC
  • 用时：6229ms
  • 内存：3592kb
查看
  • [2023-09-16 19:36:52]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

#define int long long

const int P=998244353;

int X,A,B;

signed main()
{
    cin>>X>>A>>B;
    B--;
    int ans=0;
    for(int a=1;a*(a+1)*(a+2)*(a+3)<=X;a++)
        for(int b=a+1;a*b*(b+1)*(b+2)<=X;b++)
        {
            int n=X/(a*b);
            int lc=b+1,rc;
            int L=0,R=sqrtl(n)+10;
            while(R-L>1)
            {
                int mid=(L+R)>>1;
                if(mid*(mid+1)<=n)
                    L=mid;
                else
                    R=mid;
            }
            rc=L;
            if(lc>rc)
                continue;
            if(a+b>=A&&a+b<=B)
                ans=(ans+(rc-lc+1)*4)%P;
            //L<=a+c<=R
            {
                int lp=max(A-a,lc);
                int rp=min(B-a,rc);
                if(lp<=rp)
                    ans=(ans+(rp-lp+1)*4)%P;
            }
            //L<=b+c<=R
            {
                int lp=max(A-b,lc);
                int rp=min(B-b,rc);
                if(lp<=rp)
                    ans=(ans+(rp-lp+1)*4)%P;
            }
            //L<=a+d<=R
            {
                int ld=A-a,rd=B-a;
                // ld <= n/c <= rd
                int L=1,R=n+2;
                while(R-L>1)
                {
                    int mid=(L+R)>>1;
                    if(n/mid>=ld)
                        L=mid;
                    else
                        R=mid;
                }
                int rp=L;
                L=0,R=n+1;
                while(R-L>1)
                {
                    int mid=(L+R)>>1;
                    if(n/mid<=rd)
                        R=mid;
                    else
                        L=mid;
                }
                int lp=R;
                lp=max(lp,lc);
                rp=min(rp,rc);
                if(lp<=rp)
                    ans=(ans+(rp-lp+1)*4)%P;
            }
            //L<=b+d<=R
            {
                int ld=A-b,rd=B-b;
                // ld <= n/c <= rd
                int L=1,R=n+2;
                while(R-L>1)
                {
                    int mid=(L+R)>>1;
                    if(n/mid>=ld)
                        L=mid;
                    else
                        R=mid;
                }
                int rp=L;
                L=0,R=n+1;
                while(R-L>1)
                {
                    int mid=(L+R)>>1;
                    if(n/mid<=rd)
                        R=mid;
                    else
                        L=mid;
                }
                int lp=R;
                lp=max(lp,lc);
                rp=min(rp,rc);
                if(lp<=rp)
                    ans=(ans+(rp-lp+1)*4)%P;
            }
            //L<=c+d<=R
            {
                
                int L=1,R=rc+1;
                while(R-L>1)
                {
                    int mid=(L+R)>>1;
                    if(mid+n/mid>=A)
                        L=mid;
                    else
                        R=mid;
                }
                int rp=L;
                if(rp+n/rp<A)
                    rp--;
                L=0,R=rc;
                while(R-L>1)
                {
                    int mid=(L+R)>>1;
                    if(mid+n/mid<=B)
                        R=mid;
                    else
                        L=mid;
                }
                int lp=R;
                if(lp+n/lp>B)
                    lp++;
                lp=max(lp,lc);
                rp=min(rp,rc);
                if(lp<=rp)
                    ans=(ans+(rp-lp+1)*4)%P;
            }
        }
    cout<<ans<<endl;
}
Source code, Language: C++20

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3548kb

input:

24 4 6

output:

12

result:

ok single line: '12'

Test #2:

score: 0
Accepted
time: 1ms
memory: 3552kb

input:

30 5 6

output:

4

result:

ok single line: '4'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3424kb

input:

30 9 20

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 6103ms
memory: 3360kb

input:

100000000000000 1 100000000000000

output:

288287412

result:

ok single line: '288287412'

Test #5:

score: 0
Accepted
time: 1ms
memory: 3360kb

input:

51256 4 35

output:

29116

result:

ok single line: '29116'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3412kb

input:

5845 10 163

output:

10724

result:

ok single line: '10724'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3356kb

input:

47139 6 167

output:

71716

result:

ok single line: '71716'

Test #8:

score: 0
Accepted
time: 1ms
memory: 3584kb

input:

20603 5 167

output:

36556

result:

ok single line: '36556'

Test #9:

score: 0
Accepted
time: 1ms
memory: 3552kb

input:

37521 1 76

output:

46956

result:

ok single line: '46956'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

1 1 10

output:

0

result:

ok single line: '0'

Test #11:

score: 0
Accepted
time: 6005ms
memory: 3592kb

input:

97083668416826 7 3808058212682

output:

392082021

result:

ok single line: '392082021'

Test #12:

score: 0
Accepted
time: 5456ms
memory: 3360kb

input:

81206220725808 2 45630676823009

output:

956896057

result:

ok single line: '956896057'

Test #13:

score: 0
Accepted
time: 5534ms
memory: 3528kb

input:

83357713762616 8 7064282922851

output:

238276229

result:

ok single line: '238276229'

Test #14:

score: 0
Accepted
time: 5607ms
memory: 3584kb

input:

85445471832361 6 56105073865950

output:

611528255

result:

ok single line: '611528255'

Test #15:

score: 0
Accepted
time: 5869ms
memory: 3412kb

input:

92699451513867 7 40224031632009

output:

527678799

result:

ok single line: '527678799'

Test #16:

score: 0
Accepted
time: 5893ms
memory: 3356kb

input:

91239680645595 2 6753821

output:

949101816

result:

ok single line: '949101816'

Test #17:

score: 0
Accepted
time: 5657ms
memory: 3428kb

input:

84407166448013 9 9804427

output:

100140616

result:

ok single line: '100140616'

Test #18:

score: 0
Accepted
time: 5925ms
memory: 3416kb

input:

92300784798569 1 7627255

output:

506797132

result:

ok single line: '506797132'

Test #19:

score: 0
Accepted
time: 5728ms
memory: 3364kb

input:

86360099055961 16 9430857

output:

909028853

result:

ok single line: '909028853'

Test #20:

score: 0
Accepted
time: 6093ms
memory: 3424kb

input:

96378494166704 16 4791452

output:

961637838

result:

ok single line: '961637838'

Test #21:

score: 0
Accepted
time: 6057ms
memory: 3528kb

input:

92800119725342 19 71735

output:

549693103

result:

ok single line: '549693103'

Test #22:

score: 0
Accepted
time: 6198ms
memory: 3416kb

input:

99241248175798 28 509556

output:

885647806

result:

ok single line: '885647806'

Test #23:

score: 0
Accepted
time: 5904ms
memory: 3588kb

input:

90117794770692 17 324480

output:

701148580

result:

ok single line: '701148580'

Test #24:

score: 0
Accepted
time: 6229ms
memory: 3592kb

input:

99417213318477 67 305057

output:

478902343

result:

ok single line: '478902343'

Test #25:

score: 0
Accepted
time: 5912ms
memory: 3508kb

input:

90584131165693 78 897660

output:

879735139

result:

ok single line: '879735139'

Test #26:

score: 0
Accepted
time: 5986ms
memory: 3508kb

input:

92129120236843 702 5645

output:

28323443

result:

ok single line: '28323443'

Test #27:

score: 0
Accepted
time: 5932ms
memory: 3304kb

input:

90203225783100 802 6272

output:

966952096

result:

ok single line: '966952096'

Test #28:

score: 0
Accepted
time: 5545ms
memory: 3588kb

input:

82248112022135 533 2266

output:

280479804

result:

ok single line: '280479804'

Test #29:

score: 0
Accepted
time: 5811ms
memory: 3364kb

input:

84853900427215 368 25431

output:

471070321

result:

ok single line: '471070321'

Test #30:

score: 0
Accepted
time: 6058ms
memory: 3528kb

input:

91754392379969 149 24312

output:

577285220

result:

ok single line: '577285220'

Test #31:

score: 0
Accepted
time: 6079ms
memory: 3548kb

input:

100000000000000 1 2

output:

0

result:

ok single line: '0'

Test #32:

score: 0
Accepted
time: 5761ms
memory: 3360kb

input:

100000000000000 10000000000000 100000000000000

output:

36

result:

ok single line: '36'
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