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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#252842 | #6129. Magic Multiplication | sfjh | AC ✓ | 18ms | 4640kb | C++14 | 2.1kb | 2023-11-16 13:14:46 | 2023-11-16 13:14:47 |
Judging History
answer
#include <bits/stdc++.h>
#define INF 0x3f3f3f3f
using namespace std;
const int maxn=2e5+5;
int T,n,m,a[maxn],b[maxn];
char c[maxn];
bool GetB() {
int len=strlen(c),pos=0;
for(int i=0; i<m; i++) {
if(pos==len)return 0;//字符串不够用,不合法
int x=c[pos++]-'0';//获得对应数字
if(pos<len&&x&&x<a[0])x=x*10+c[pos++]-'0';
//如果字符串够用,这一位不为0,数字小于a[0],就需要多拿一位
if(x%a[0]||x/a[0]>9)return 0;
//如果不能整除或者商为两位数
b[i]=x/a[0];//构造b[i]
}
for(int i=1; i<n; i++)
for(int j=0; j<m; j++) {
if(pos==len)return 0;
int x=c[pos++]-'0';//获得对应数字
if(pos<len&&x&&x<b[j])x=x*10+c[pos++]-'0';
//如果字符串够用,这一位不为0,数字小于a[0],就需要多拿一位
if(x&&(b[j]==0||(j&&a[i]==0)))return 0;
//如果有结果但是b的对应位为0或者a的对应位为0(j代表已经计算过,根据0~j-1推出a[i]==0)
if(x==0) {
if(j&&a[i]&&b[j])return 0;
//结果有0并且a[i]已经算过,b的对应为有值
if(!j)a[i]=0;//如果第一次算,结果为0,则a[i]为0
} else {
if (x%b[j]||j&&x/b[j]!=a[i]||x/b[j]>9) return 0;
//如果不能整除或者商为两位数
a[i]=x/b[j];
}
}
return pos==len;
}
bool Judge(int x) {
for(int i=1; i<=9; i++)
if(x%i==0) {
a[0]=i;
if(GetB())return 1;
}
return 0;
}
bool solve() {
int x=c[0]-'0';
if(Judge(x))return 1;
x=x*10+c[1]-'0';
if(Judge(x))return 1;
return 0;
}
int main() {
scanf("%d",&T);
while(T--) {
scanf("%d%d%s",&n,&m,&c);
if(solve()) {
for(int i=0; i<n; i++)printf("%d",a[i]);
putchar(' ');
for(int i=0; i<m; i++)printf("%d",b[i]);
putchar('\n');
} else printf("Impossible\n");
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3760kb
input:
4 2 2 8101215 3 4 100000001000 2 2 80101215 3 4 1000000010000
output:
23 45 101 1000 Impossible Impossible
result:
ok 4 lines
Test #2:
score: 0
Accepted
time: 18ms
memory: 4640kb
input:
1025 11 18 1461416814188088414188241035153540203545200202010354520510254921495628496328028281449632871435351535402035452002020103545205102500000000000000000000000000004000000063276372366381360363618638136918454921495628496328028281449632871435492149562849632802828144963287143514614168141880884141882...
output:
Impossible 3583 5 161650357972 65354104569 597523997017 7693 Impossible 406723924695110 973937089831524 59331138450754 554 4 189401911962950 980565699171 84748728972992 Impossible 62155650672 4241405 9458752764004792353 8717596993614 Impossible 941952596 49242258343771276739 Impossible 64053045751 4...
result:
ok 1025 lines