Problem: After his wife's tragic death, Eurydice, Orpheus descended to the realm of death to see her. Reaching its gates was uneasy, but passing through them proved to be even more challenging. Mostly because of Cerberus, the three-headed hound of Hades. 

Orpheus, a famous poet, and musician plans to calm Cerberus with his poetry and safely walk past him. He created a very peculiar poem for Cerberus. It consists only of lowercase English letters. 

We call a poem's substring a palindrome if and only if it reads the same backwards and forwards. A string a is a substring of a string b if a can be obtained from b by deleting several (possibly zero or all) characters from the beginning and several (possibly zero or all) characters from the end.

Unfortunately, Cerberus dislikes palindromes of length greater than 1. For example in the poem abaa the hound of Hades wouldn't like substrings aba and aa.

Orpheus can only calm Cerberus if the hound likes his poetry. That's why he wants to change his poem so that it does not contain any palindrome substrings of length greater than 1.

Orpheus can modify the poem by replacing a letter at any position with any lowercase English letter. He can use this operation arbitrarily many times (possibly zero). Since there can be many palindromes in his poem, he may have to make some corrections. But how many, exactly? Given the poem, determine the minimal number of letters that have to be changed so that the poem does not contain any palindromes of length greater than 1.

Input

The first line of the input contains a single integer t (1 ≤ t ≤ 10^5) denoting the number of test cases, then t test cases follow.

The first and only line of each test case contains a non-empty string of lowercase English letters, Orpheus' poem.

The sum of the length of Orpheus' poems in all test cases will not exceed 10^5.

Output

You should output t lines, i-th line should contain a single integer, answer to the i-th test case.

Example

Input


7
babba
abaac
codeforces
zeroorez
abcdcba
bbbbbbb
a


Output


1
1
0
1
1
4
0

Note

In the first test case, we can replace the third character with c and obtain a palindrome-less poem bacba.

In the second test case, we can replace the third character with d and obtain a palindrome-less poem abdac.

In the third test case, the initial poem already doesn't contain any palindromes, so Orpheus doesn't need to change anything there.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
//4/
using namespace std::chrono; 
typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;
#define _USE_MATH_DEFINES
#define cin_exp cin.exceptions(cin.failbit);
#define dis_inbf cin.ignore(numeric_limits<streamsize>::max(),'\n'); //discards the imput buffer
#define IOS ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define repG(i, n)    for(ll i = 0; i < (n); ++i)
#define rep(i, a, n)  for(ll i = a; i < (n); ++i)
#define repd(i, a, n)  for(ll i = a; i >= (n); --i)
#define trav(a, x) for(auto& a : x)
#define all(x) x.begin(), x.end()
#define sz(x) (ll)(x).size()
#define fill(a)  memset(a, 0, sizeof (a))
#define fill_2(a,b)  memset(a, 0, sizeof (a));memset(b, 0, sizeof (b));
#define fill_n(a) memset(a,-1,sizeof(a))
#define fst first
#define snd second
#define mpr make_pair
#define pb push_back
#define eb emplace_back
#define mod 998244353//1000000007//000000000000007//1000000009
#define PI  3.14159265358979323846264
#define fftmod 998244353
#define arr_106 1000011
#define arr_105 100011
#define ll_inf 1223372036854775807
#define int_inf 1147483647
#define endl "\n"
#define sort_vec(v) sort(v.begin(),v.end())
#define sort_vecr(v) sort(v.rbegin(),v.rend())
#define all_of(v) v.begin(),v.end()
#define l_b lower_bound
#define u_b upper_bound
#define trace_1(a) for(auto i:a) cout<<i<<" ";cout<<endl;
#define trace_2(a,b) for(auto i:a)cout<<i<<" ";cout<<endl;for(auto i:b)cout<<i<<" ";cout<<endl;
#define setpres() cout << fixed << setprecision(16);
#define n_l cout<<endl;
#define in_1(n) cin>>n;
#define input(a) for(auto &it:a) cin>>it;
//#define int long long

//////////////////// DEBUG /////////////////////////////////////////
#ifdef LOCAL
#define D(x) cerr << #x << " is:\t" << x << '\n';
#define DD(x, y) cerr << '(' << #x << ',' << #y << ") are:\t" << x << ' ' << y << '\n';
#define DDD(x, y, z) cerr << '(' << #x << ',' << #y << ',' << #z << ") are:\t" << x << ' ' << y << ' ' << z << '\n';
#else
#define D(x) ;
#define DD(x, y) ;
#define DDD(x, y, z) ;
#endif

 
typedef long double ld;
typedef pair<ll, ll> pii;
typedef pair<ll, pii> pip;
typedef pair<pii, ll> ppi;
typedef vector<ll> vi;
typedef vector<string> vs;
typedef vector<pii> vpi;
typedef vector<vi> vvi;
typedef vector<vpi> vvpi;
typedef map<ll,ll> mii;
typedef map<pii,ll> mpi;

ll fac[1000006];
 
 
inline ll exp(ll x,ll n){ll r=1;x=x;while(n){if(n%2)r=(r*x)%mod;x=(x*x)%mod;n=n/2;}return r;}
inline ll mmi(ll a){return exp(a,mod-2)%mod;}
inline ll fact(ll n){ll res=1;rep(i,1,n+1){res=(res*i)%mod;}return res;}
inline void fact_a(){fac[0]=1;fac[1]=1;rep(i,1,1000005){fac[i]=(fac[i-1]*i)%mod;}}
inline ll inv_fact(ll n){/*fact_a();*/ll par=fac[n];ll res=mmi(par);return res;}
inline ll comb(ll n,ll r){/*fact_a();*/if(n==r && r==0)return 1;if(n<r)return 0;return ((fac[n]*inv_fact(r))%mod*inv_fact(n-r))%mod;}
 
struct triplet{ll a,b,c;};
bool operator < (const triplet &t1,const triplet &t2){
    if(t1.a<t2.a)return true;
    if(t1.a==t2.a && t1.b <t2.b)return true;
    if(t1.a==t2.a && t1.b ==t2.b && t1.c<t2.c)
        return true;return false;}
 
pair<ll,pii > ex_gcd(ll a,ll b)
{   if(b==0){return mpr(a,mpr(1,0));}
    pip p=ex_gcd(b,a%b);
    ll gcd=p.fst;ll x1=p.snd.fst;ll y1=p.snd.snd;
    ll x=y1;ll y=x1-(a/b)*y1;
    return mpr(gcd,mpr(x,y));
} 
ll prime[3000006];
ll spf_prime[3000006];
void sieve(){prime[1]=1;for(ll i=2;i*i<=3000000;i++)if(prime[i]==0)for(ll j=i*i;j<=3000000;j+=i)prime[j]=1;}
void spf(){
     for(ll i=2;i*i<=3000000;i++)if(!spf_prime[i])for(ll j=i*i;j<=3000000;j+=i)if(!spf_prime[j])spf_prime[j]=i;
        for(ll i=2;i<=3000000;i++)if(!spf_prime[i])spf_prime[i]=i;
}
 
ll getparent_BIT(ll idx)
{
    return idx-(idx& -idx);
}
ll getnext_BIT(ll idx)
{
    return idx+(idx& -idx);
}
ll getsum_BIT(ll idx,ll BIT[],ll n)
{   
    idx++;
    ll sum=0;
    while(idx>0)
    {
      sum=max(sum,BIT[idx]);
      idx=getparent_BIT(idx);
      
    }
    return sum;
}
void update_BIT(ll idx,ll BIT[],ll val,ll n)
{
    idx++;
    while(idx<=n)
    {
        BIT[idx]=max(BIT[idx],val);
        idx=getnext_BIT(idx);
    }
}

void build_BIT(ll BIT[],ll a[],ll n)
{
    rep(i,0,n)
    {
        update_BIT(i,BIT,a[i],n);
    }
}
 
void comp_lps(string s,ll lps[],ll n)
{  ll i=1,j=0;
    while(i<n){if(s[i]==s[j]){lps[i++]=++j;}
        else{ if(j!=0) j=lps[j-1]; else lps[i++]=0;}}
}
 
 
void dfs_l(ll u,vvi &adj,ll status[])
{
    if(status[u]==1) return;status[u]=1;
    rep(i,0,adj[u].size())
      dfs_l(adj[u][i],adj,status);
}
ll dij(ll u,ll n,vector<vector<pii> > &adj,ll status[])
{
    ll dist[n];
    rep(i,0,n) dist[i]=1000000000;
    dist[0]=0;
    priority_queue<pii,vpi,greater<pii> > q;
    q.push(mpr(0,0));
    while(!q.empty())
    {
        pii p;
        p=q.top();
        q.pop();
        ll x=p.snd;
        ll w=p.fst;
        if(status[x]==1) continue;
        status[x]=1;
        rep(i,0,adj[x].size())
        {
            ll ww=adj[x][i].fst;
            ll y=adj[x][i].snd;
            if(dist[x]+ww<dist[y])
            {
                dist[y]=dist[x]+ww;
                q.push(mpr(dist[y],y));
            }
        }
    }
    if(dist[n-1]>=1000000000) return -1;
    return dist[n-1];
}
ll phi(ll n)
{
    vi v;
    ll k=n;;
    for(ll i=2;i*i<=n;i++)
    {
        if(k%i==0)
        {
            v.pb(i);
            while(k%i==0) k/=i;
        }
    }
    if(k>1) v.pb(k);
    ll ans=n;
    rep(i,0,v.size())
      ans-=(ans/v[i]);
    return ans;
}
struct trie
{
   struct trie *left,*right;
   bool isend;
};
trie* get_trie()
{
    trie* ptr=new trie;
    ptr->left=NULL;
    ptr->right=NULL;
    ptr->isend=false;
    return ptr;
}
bool isempty(trie* root)
{
    if(root->left==NULL && root->right==NULL) return true;
    return false;
}
void insert_trie(trie *root,string key)
{   
    trie *ptr=root;
    rep(i,0,key.size())
    {
        if(key[i]=='0')
        {
            if(ptr->left==NULL)
            {
                ptr->left=get_trie();
            }
            ptr=ptr->left;
        }
        else
        {
            if(ptr->right==NULL)
                 ptr->right=get_trie();
            ptr=ptr->right;
        }
    }
    ptr->isend=true;
}
trie* remove_trie(trie *root,string key,ll idx=0)
{
    if(root==NULL) return NULL;
    if(idx==key.size())
    {
        if(isempty(root))
        {  
            delete(root);
            root=NULL;
        }
        return root;
    }
    if(key[idx]=='0')
        root->left=remove_trie(root->left,key,idx+1);
    else
        root->right=remove_trie(root->right,key,idx+1);
    if(isempty(root))
    { 
        delete(root);
        root=NULL;
    }
    return root;
}
ll search_trie(trie *root,string key)
{
    trie *ptr=root;
    string s="";
    rep(i,0,key.size())
    {
        if(key[i]=='0')
        {
            if(ptr->right!=NULL)
            {  
                ptr=ptr->right;s+='1';
            }
            else
            {
                ptr=ptr->left;s+='0';
            }
        }
        else
        {
            if(ptr->left!=NULL)
            {
                ptr=ptr->left;s+='1';
            }
            else
            {
                ptr=ptr->right;s+='0';
            }
        }
    }
    ll res=0;
    reverse(s.begin(),s.end());
    
    repd(i,s.length()-1,0)
      res=res*2+(s[i]-'0');
    return res;
}
// ifstream fin("input.txt");ofstream fout("output.txt");
/*
#ifndef ONLINE_JUDGE
    double _tBeg=clock();
#endif
*/
/*double cal(ll h,ll c,ll mid)
{
    double f=(double)(h*(mid+1)+ c*(mid))/(double)(2*mid+1);
    return f;
}*/

struct Comp {
  bool operator()(const std::pair<int, int> &a, const std::pair<int, int> &b) {
    if (a.first != b.first) {
      return a.first < b.first;
    }
    return a.second > b.second;
  }
   /*Comp comp_functor;
    std::sort(v.begin(), v.end(), comp_functor);*/

};


void dearr()
{
   ll dar[1005];
   dar[0]=1;dar[1]=0;dar[2]=1;
   rep(i,3,1002)
   {
      dar[i]=(i-1)*(dar[i-1]+dar[i-2]);
   }
}
struct dsu
{
ll siz[200002];
ll parent[200002];
void make_set(ll v)
{
    parent[v]=v;
    siz[v]=1;
}
ll find_set(ll v)
{
    if(v==parent[v]) return v;
    return parent[v]=find_set(parent[v]);
}
void union_set(ll a,ll b)
{
    a=find_set(a);
    b=find_set(b);
    if(a!=b)
    {
        if(siz[a]<siz[b]) swap(a,b);
        parent[b]=a;
        siz[a]+=siz[b];
    }
}

};

ll dist[200006];
void dij(ll s,vector<vpi> &adj,ll n)
{
    priority_queue<pii,vpi,greater<pii> > q;
    q.push(mpr(0,s));
    ll status[n+2];
    fill(status);
    while(!q.empty())
    {
        pii p=q.top();
        q.pop();
        if(status[p.snd]==1) continue;
        status[p.snd]=1;
        ll u=p.snd;
        ll w=p.fst;
        rep(i,0,adj[u].size())
        {   ll v=adj[u][i].snd;
            ll ww=adj[u][i].fst;
            if(dist[u]+ww < dist[v])
            {
                dist[v]=dist[u]+ww;
                q.push(mpr(dist[v],v));
            }
        }
    }
}
ll rec(ll u,vvi &adj,ll status[],ll d[],ll p[])
{
    if(status[u]==1) return 0;
    status[u]=1;
    ll a=0;
    rep(i,0,adj[u].size())
    {
      a+=rec(adj[u][i],adj,status,d,p);
    } 

    return d[u]=a+p[u];
}
ll rec1(ll u,vvi &adj,ll status[],ll d[],ll h[],ll &dd,ll p[])
{
    status[u]=1;
    ll b=0;
    ll cc=0;
    for(auto it:adj[u])
    {   if(status[it]==1) continue;
        b+=rec1(it,adj,status,d,h,dd,p);
        cc=1;
    }
    if(!cc)
    {
        if((h[u]+d[u]+2)%2==1 || h[u]<(-d[u]) || h[u]>(d[u]))
        {dd=1; return 0;}
        else return (d[u]-h[u])/2;
    }

    ll H=d[u]-2*(b+p[u]);
      if((h[u]+d[u]+2)%2==1 || h[u] < H || h[u]>d[u])
        {dd=1;return 0;}
    return (d[u]-h[u])/2;

}
int main()
{
    #ifndef ONLINE_JUDGE
    double _tBeg=clock();
    #endif
     
    IOS;
    ll t;
    cin>>t;
    while(t--)
    {
        string s;
        cin>>s;
        ll n=s.length();
        ll cnt=0;

        rep(i,1,n)
        {   

            if(i==1)
            {
                if(s[i]!=s[i-1]) continue;
                char c;
                if('a'!=s[i-1] && (i+1>=n || 'a'!=s[i+1]) && (i+2>=n || 'a'!=s[i+2]))
                {
                    c='a';
                }
                else if('b'!=s[i-1] && (i+1>=n || 'b'!=s[i+1]) && (i+2>=n || 'b'!=s[i+2]))
                {
                    c='b';
                }
                else if('c'!=s[i-1] && (i+1>=n || 'c'!=s[i+1]) && (i+2>=n || 'c'!=s[i+2]))
                {
                    c='c';
                }
                else if('d'!=s[i-1] && (i+1>=n || 'd'!=s[i+1]) && (i+2>=n || 'd'!=s[i+2]))
                {
                    c='d';
                }
                s[i]=c;
                cnt+=1;
            }
            else
            {
              if(s[i]!=s[i-1] && s[i]!=s[i-2]) continue;
                char c='e';
                if('a'!=s[i-2] && 'a'!=s[i-1] && (i+1>=n || 'a'!=s[i+1]) && (i+2>=n || 'a'!=s[i+2]))
                {
                    c='a';
                }
                else if('b'!=s[i-2] && 'b'!=s[i-1] && (i+1>=n || 'b'!=s[i+1]) && (i+2>=n || 'b'!=s[i+2]))
                {
                    c='b';
                }
                else if('c'!=s[i-2] &&  'c'!=s[i-1] && (i+1>=n || 'c'!=s[i+1]) && (i+2>=n || 'c'!=s[i+2]))
                {
                    c='c';
                }
                else if('d'!=s[i-2] &&  'd'!=s[i-1] && (i+1>=n || 'd'!=s[i+1]) && (i+2>=n || 'd'!=s[i+2]))
                {
                    c='d';
                }
                s[i]=c;   
                cnt+=1;
            }
        }
        cout<<cnt<<endl;
    }

    
    
   #ifndef ONLINE_JUDGE
    double _tEnd=clock();
    printf("total time %.6f\n",(_tEnd-_tBeg)/CLOCKS_PER_SEC);
    #endif
    
    
    
}