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Q10023.cpp
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Q10023.cpp
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#include <stdio.h>
#include <string.h>
struct node {
int s[1010],len;
node() {
memset(s,0,sizeof(s));
len = 0;
}
void trans(char *ss,int slen) {
len = slen;
for(int i=0;i<slen;i++)
s[i] = ss[slen-1-i]-'0';
}
node operator + (int t) {
int i;
node tmp;
tmp.s[0] = s[0]+t;
for(i=1;i<len;i++)
tmp.s[i] = s[i];
for(i=0;i<len;i++)
if(tmp.s[i] >= 10) {
tmp.s[i+1] += tmp.s[i]/10;
tmp.s[i] %= 10;
}
for(i=len+9;i>=0 && tmp.s[i] == 0;i--);
if(i < 0) tmp.len = 1;
else tmp.len = i+1;
return tmp;
}
node operator * (int t) {
int i;
node tmp;
for(i=0;i<len;i++)
tmp.s[i] = s[i]*t;
for(i=0;i<len+10;i++)
if(tmp.s[i] >= 10) {
tmp.s[i+1] += tmp.s[i]/10;
tmp.s[i] %= 10;
}
for(i=len+9;i>=0 && tmp.s[i] == 0;i--);
if(i < 0) tmp.len = 1;
else tmp.len = i+1;
return tmp;
}
node sqrt() {
node Q,tmp,tmp2,tmp3;
tmp = (*this);
int i,tt,j,k,q,x;
char flag;
if(len & 1) {
Q.len = len/2+1;
i = Q.len-1;
j = len-1;
tmp3.len = 1;
while(i >= 0 && j >= 0) {
for(k=0;k<=9;k++) {
flag = 0;
tmp3.s[0] = k;
tmp2 = tmp3*k;
if(tmp2.len > tmp.len-j) {
flag = 2;
break;
} else if(tmp2.len < tmp.len-j) {
continue;
} else {
for(x=tmp2.len-1;x>=0;x--) {
if(tmp.s[x+j] > tmp2.s[x]) {
flag = 1;
break;
} else if(tmp.s[x+j] < tmp2.s[x]) {
flag = 2;
break;
}
}
if(flag == 2) break;
}
}
if(tmp3.s[0] && flag == 2)
tmp3.s[0]--;
Q.s[i] = tmp3.s[0];
tmp2 = tmp3*Q.s[i];
tmp3 = tmp3+Q.s[i];
for(x=j;x<tmp.len;x++) {
tmp.s[x] -= tmp2.s[x-j];
if(tmp.s[x] < 0) {
tmp.s[x+1]--;
tmp.s[x] += 10;
}
}
for(x=tmp.len;x>0 && tmp.s[x-1] == 0;x--);
tmp.len = x;
tmp3 = tmp3*10;
i--, j-=2;
}
return Q;
} else {
Q.len = len/2;
i = Q.len-1;
j = len-2;
tmp3.len = 1;
while(i >= 0 && j >= 0) {
for(k=0;k<=9;k++) {
flag = 0;
tmp3.s[0] = k;
tmp2 = tmp3*k;
if(tmp2.len > tmp.len-j) {
flag = 2;
break;
} else if(tmp2.len < tmp.len-j) {
continue;
} else {
for(x=tmp2.len-1;x>=0;x--) {
if(tmp.s[x+j] > tmp2.s[x]) {
flag = 1;
break;
} else if(tmp.s[x+j] < tmp2.s[x]) {
flag = 2;
break;
}
}
if(flag == 2) break;
}
}
if(tmp3.s[0] && flag == 2)
tmp3.s[0]--;
Q.s[i] = tmp3.s[0];
tmp2 = tmp3*Q.s[i];
tmp3 = tmp3+Q.s[i];
for(x=j;x<tmp.len;x++) {
tmp.s[x] -= tmp2.s[x-j];
if(tmp.s[x] < 0) {
tmp.s[x+1]--;
tmp.s[x] += 10;
}
}
for(x=tmp.len;x>0 && tmp.s[x-1] == 0;x--);
tmp.len = x;
tmp3 = tmp3*10;
i--, j-=2;
}
return Q;
}
}
void print() {
for(int i=len-1;i>=0;i--)
printf("%d",s[i]);
puts("");
}
};
int main() {
int i,j,n,t,c=0;
char s[1010];
node compute,ans;
scanf("%d%*c",&t);
while(t--) {
if(c) puts("");
else c = 1;
scanf("%s",s);
n = strlen(s);
compute.trans(s,n);
ans = compute.sqrt();
ans.print();
}
return 0;
}