#define HAVE_STRUCT_TIMESPEC
#include<bits/stdc++.h>
using namespace std;
char s[200007];
int a[200007][20];
int main(){
int t;
cin>>t;
while(t--){
cin>>s+1;
int n=strlen(s+1);
for(int i=0;i<=n;++i)
for(int j=0;j<=18;++j)
a[i][j]=0;
for(int i=1;i<=n;++i){
if(s[i]=='1'){
a[i][1]=1;
for(int j=2;j<=18;++j){
if(i+j-1>n)
break;
a[i][j]=a[i][j-1]<<1;//i为起点,i+j为终点
if(s[i+j-1]=='1')//i+j-1即前最后一位,该位为1,+1即可
a[i][j]++;
}
}
}
int x=1;//离i最近的不为0的位置
int ans=0;
int tmp=0;
for(int i=1;i<=n;++i){
if(s[i]=='1'){
tmp=i-x;//前导零的个数
for(int j=1;j<=18;++j){
if(i+j-1>n)
break;
if(tmp+j>=a[i][j])//如果a[i][j]<=前导零的个数加上j(i~i+j,第i位为1),那么去掉一些前导零,即可a[i][j]==j+前导零的个数
++ans;
}
x=i+1;
}
}
cout<<ans<<"\n";
}
return 0;
}

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