HDU 6020---MG loves apple (enumeration), hdu6020 --- mg
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Problem DescriptionMG is a rich boy. He has n apples, each has a value of V (0 <= V <= 9 ).
A valid number does not contain a leading zero, and these apples have just made a valid N digit number.
MG has the right to take away K apples in the sequence, he wonders if there exists a solution: After exactly taking away K apples, the valid N −k digit number of remaining apples mod 3 is zero.
MG thought it very easy and he had himself disdained to take the job. As a bystander, cocould you please help settle the problem and calculate the answer?
InputThe first line is an integer T which indicates the case number. (1 <= T <= 60)
And for each case, there are 2 integer N (1 <=n <= 100000), K (0 <= K <N) in the first line which indicate apple-number, and the number of apple you shoshould take away.
MG also promises the sum of N will not exceed 1000000.
Then there are N integers X in the next line, the I-th integer means the I-th gold's value (0 <= X <= 9 ).
OutputAs for each case, you need to output a single line.
If the solution exists, print "yes", else print "no". (Excluding quotation marks)
Sample Input25 2112304 21000
Sample OutputYesno:
Ideas:
The Code is as follows:
#include <iostream>#include <algorithm>#include <cstring>#include <cstdio>using namespace std;int a[100005];char s[100005];void cal(int &a3, int &E1,int &E2,int N){ a3=0; E1=0; E2=0; for(int i=1;i<=N;i++) { if(a[i]==3) break; if(a[i]==0) a3++; } for(int i=1;i<=N;i++) { if(a[i]==0) break; if(a[i]==1) E1=1; if(a[i]==2) E2=1; } return ;}int main(){ int T; cin>>T; while(T--) { int N,K; int s1=0,s2=0,s3=0; scanf("%d%d",&N,&K); scanf("%s",s+1); for(int i=1;i<=N;i++) { a[i]=s[i]-'0'; if(a[i]%3==1) a[i]=1,s1++; else if(a[i]%3==2) a[i]=2,s2++; else s3++,a[i]=(a[i])?3:0; } int ans=(s1+s2*2)%3; int a3,E1,E2,f=0; cal(a3,E1,E2,N); for(int C=0;C<=s2&&C<=K;C++) ///C->2; B->1; A->0; { int B=((ans-C*2)%3+3)%3; for(;B<=s1&&C+B<=K;B=B+3) { int A=K-C-B; if(A<=s3) { if(A>a3) f=1; else if(B<s1&&E1) f=1; else if(C<s2&&E2) f=1; if(f) break; } } if(f) break; } if((N==K+1)&&s3) f=1; if(f) puts("yes"); else puts("no"); } return 0;}