#include <algorithm>
#include <cstdio>
#include <cstring>
#include <iostream>
#include <vector>
using namespace std;

typedef long long ll;

const int N = 5e5 + 5;  // |S|
const int M = 27;       // max ASCII(s_i)
const int K = 20;       // log N
char s[N];
struct SuffixArray {
    int n, m = M;
    int sa[N], rk[N], ht[N], tax[N], tmp[N];
    int st[N][K], lg[N];
    void init(int N) {
        n = N;
        for (int i = 0; i <= n; i++) {
            sa[i] = rk[i] = ht[i] = 0;
            tax[i] = tmp[i] = 0;
        }
        for (int i = 0; i < K; i++)
            for (int j = 0; j <= n; j++)
                st[i][j] = n;
        m = M;
        SA();
        get_ht();
        build();
    }
    void Qsort() {
        for (int i = 0; i <= m; i++)
            tax[i] = 0;
        for (int i = 1; i <= n; i++)
            tax[rk[i]]++;
        for (int i = 1; i <= m; i++)
            tax[i] += tax[i - 1];
        for (int i = n; i >= 1; i--)
            sa[tax[rk[tmp[i]]]--] = tmp[i];
    }
    int cmp(int x, int y, int w) {
        return (tmp[x] == tmp[y] && tmp[x + w] == tmp[y + w]);
    }
    void SA() {
        for (int i = 1; i <= n; i++) {
            rk[i] = s[i] - 'a' + 1;
            tmp[i] = i;
        }
        Qsort();
        for (int w = 1; w <= n; w <<= 1) {
            int p = 0;
            for (int i = n - w + 1; i <= n; i++)
                tmp[++p] = i;
            for (int i = 1; i <= n; i++)
                if (sa[i] > w)
                    tmp[++p] = sa[i] - w;
            Qsort();
            swap(tmp, rk);
            rk[sa[1]] = p = 1;
            for (int i = 2; i <= n; i++)
                rk[sa[i]] = cmp(sa[i - 1], sa[i], w) ? p : ++p;
            if (p == n)
                break;
            m = p;
        }
    }
    void get_ht() {  // ht[i] = lcp(sa[i], sa[i - 1])
        for (int i = 1, k = 0; i <= n; i++) {
            if (k)
                --k;
            // 多测记得防越界
            // 或者 s[] 开两倍空间，清空后一半
            // while ((i + k <= n && sa[rk[i] - 1] + k <= n) && s[i + k] == s[sa[rk[i] - 1] + k])
            //	 k++;
            while (s[i + k] == s[sa[rk[i] - 1] + k])
                k++;
            ht[rk[i]] = k;
        }
    }
    void build() {
        for (int i = 2; i <= n; i++)  // index starts with 2
            lg[i] = lg[i >> 1] + 1;
        for (int i = 1; i <= n; i++)
            st[i][0] = ht[i];
        for (int i = 1; i < K; i++)
            for (int j = 1; j + (1 << i) - 1 <= n; j++)
                st[j][i] = min(st[j][i - 1], st[j + (1 << (i - 1))][i - 1]);
    }
    int query(int L, int R) {  // lcp(s[i,n],s[j,n])
        int l, r;
        l = min(L, R) + 1;
        r = max(L, R);
        int t = lg[r - l + 1];
        return min(st[l][t], st[r - (1 << t) + 1][t]);
    }
    int findpre(int x, int len) {
        int l = 1, r = x, mid, ans = x;
        while (l <= r) {
            mid = (l + r) >> 1;
            // cout << "@ " << l << " " << r << "\n";
            if (query(mid, x) >= len) {
                ans = mid;
                r = mid - 1;
            } else
                l = mid + 1;
        }
        // cout << "@ " << ans << "\n";
        return ans;
    }
    int findsuf(int x, int len) {
        int l = x, r = n, mid, ans = x;
        while (l <= r) {
            mid = (l + r) >> 1;
            // cout << "# " << l << " " << r << "\n";
            if (query(mid, x) >= len) {
                ans = mid;
                l = mid + 1;
            } else
                r = mid - 1;
        }
        // cout << "# " << ans << "\n";
        return ans;
    }
} sa;

struct PAM {
    int n;
    char s[N];
    int tot = 1, last = 1;
    struct Node {
        int len, fa, dep;
        int ch[26];
    } node[N];
    void init() {
        for (int i = 0; i <= n; i++)
            s[i] = ' ';
        for (int i = 0; i <= tot; i++) {
            node[i].len = node[i].fa = node[i].dep = 0;
            for (int j = 0; j < 26; j++)
                node[i].ch[j] = 0;
        }
        n = 0;
        tot = last = 1;
        s[0] = '$';
        node[0] = {0, 1};
        node[1] = {-1, 0};
    }
    int getfail(int x) {
        while (s[n - node[x].len - 1] != s[n])
            x = node[x].fa;
        return x;
    }
    void extend(int c) {
        s[++n] = (char)(c + 'a');
        int p = getfail(last);
        if (!node[p].ch[c]) {
            int np = ++tot;
            node[np].len = node[p].len + 2;
            node[np].fa = node[getfail(node[p].fa)].ch[c];
            node[np].dep = node[node[np].fa].dep + 1;
            node[p].ch[c] = np;
        }
        last = node[p].ch[c];
    }
} pam;

struct Node {
    int v, l, r;
} t[N << 5];
int rt[N], tot;
void pushup(int p) {
    t[p].v = max(t[t[p].l].v, t[t[p].r].v);
}
void build(int& p, int l, int r) {
    p = ++tot;
    t[p] = {0, 0, 0};
    if (l == r)
        return;
    int mid = (l + r) >> 1;
    build(t[p].l, l, mid);
    build(t[p].r, mid + 1, r);
    pushup(p);
}
void update(int& p, int q, int l, int r, int x, int d) {
    p = ++tot;
    t[p] = t[q];
    if (l == r) {
        t[p].v = d;
        return;
    }
    int mid = (l + r) >> 1;
    if (x <= mid)
        update(t[p].l, t[q].l, l, mid, x, d);
    else
        update(t[p].r, t[q].r, mid + 1, r, x, d);
    pushup(p);
}
int query(int p, int l, int r, int x, int y) {
    // cout << "$$$ " << l << " " << r << " " << x << " " << y << " " << t[p].v << "\n";
    if (x <= l && r <= y)
        return t[p].v;
    int mid = (l + r) >> 1;
    int ans = 0;
    if (x <= mid)
        ans = max(ans, query(t[p].l, l, mid, x, y));
    if (y > mid)
        ans = max(ans, query(t[p].r, mid + 1, r, x, y));
    return ans;
}

int pl[N];

void solve() {
    string t;
    cin >> t;
    int n = t.size(), m = 2 * n + 1;
    t = " " + t;
    for (int i = 1; i <= n; i++)
        s[i] = s[m - i + 1] = t[i];
    s[n + 1] = '{';
    sa.init(m);
    pam.init();
    for (int i = n; i >= 1; i--) {
        pam.extend(s[i] - 'a');
        int len = pam.node[pam.last].len;
        pl[i] = len;
    }
    tot = 0;
    // cout << "HI\n";
    build(rt[0], 1, m);
    for (int i = 1; i <= m; i++) {
        int x = sa.rk[i], d = i;
        if (i <= n + 1)
            d = 0;
        // cout << i << " " << x << " " << d << "\n";
        update(rt[i], rt[i - 1], 1, m, x, d);
    }

    // for (int i = 1; i <= m; i++)
    //     cout << sa.sa[i] << " ";
    // cout << "\n";
    // cout << query(rt[11], 1, m, 2, 5) << "\n";
    // return;

    int ans = 0;
    for (int i = 1; i <= n; i++) {
        int res = 0;
        int len = pl[i];
        while (true) {
            int l = sa.findpre(sa.rk[i], len);
            int r = sa.findsuf(sa.rk[i], len);
            // cout << "? " << sa.rk[i] << " " << len << " " << l << " " << r << "\n";
            int lim = m - (i + len) + 1;  //?
            int pos = query(rt[lim], 1, m, l, r);
            // cout << "?? " << lim << " " << i << " " << len << " " << pos << "\n";
            if (pos == 0)
                break;
            pos = m - pos + 1;
            len = pos - i + 1;
            res++;
        }
        // cout << "! " << i << " " << res << "\n";
        if (i != n && pl[i + 1] + 1 == pl[i])
            res += pl[i] - 1;
        else
            res += pl[i] / 2;
        // cout << "!! " << i << " " << res << "\n\n";
        ans = max(ans, res);
    }
    cout << ans << "\n";
}

int main() {
    // ios::sync_with_stdio(0);
    // cin.tie(0);
    // cout.tie(0);
    int T = 1;
    cin >> T;
    while (T--) {
        solve();
    }
    return 0;
}

/*

5
aaaa
abbaabba
xy
aabaa
aabcaa

*/