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92
2025fall/source/String/F_Z_M_SA_LCP.cpp
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92
2025fall/source/String/F_Z_M_SA_LCP.cpp
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const int N = 1e5+7;
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char s[N];
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int F[N], Z[N], M[N];
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int sa[N]; int ord[N], tmp[N], cnt[N];
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int lcp[N];
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int main() {
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scanf("%s", s+1);
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int n = strlen(s+1);
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// KMP - fail function {
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F[1] = 0; int j = 0;
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for(int i=2; i<=n;i++)
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{
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while(j > 0 and s[i] != s[j+1]) j = F[j];
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F[i] = j+=(s[i] == s[j+1]);
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}
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}
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//Z - Z array {
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Z[1] = n; int j = 1, r = 0;
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for(int i=2; i<=n; i++)
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{
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Z[i] = i<j+r?min(Z[i-j+1], j+r-i):0;
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while(s[1+Z[i]] == s[i+Z[i]]) Z[i]++;
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if(j+r < i+Z[i]) j = i, r = Z[i];
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}
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}
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//Manacher - M array {
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M[1] = 0; int j = 1, r = 0;
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for(int i=2; i<=n; i++)
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{
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M[i] = i<j+r?min(M[2*j-i], j+r-i):0;
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while(1 <= i-M[i]-1 && i+M[i]+1 <= n
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&& s[i-M[i]-1] == s[i+M[i]+1]) M[i]++;
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if(j+r < i+M[i]) j = i, r = M[i];
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}
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}
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//Suffix Array - SA {
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int t = 1; ord[n+1] = 0; tmp[0] = 0; sa[0] = 0;
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auto cmp = [&t, &n](int i,int j) {
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return ord[i] == ord[j]
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?ord[min(i+t, n+1)]<ord[min(j+t, n+1)]
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:ord[i]<ord[j];
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};
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forr(i, n) ord[i] = s[i], sa[i] = i;
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sort(sa+1, sa+1+n, [](int i,int j){return ord[i]<ord[j];});
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forr(i, n) tmp[sa[i]] = tmp[sa[i-1]] + (ord[sa[i-1]]<ord[sa[i]]);
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swap(tmp, ord);
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while(t < n) {
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fors(i, 0, n) cnt[i] = 0;
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forr(i, n) cnt[ord[min(i+t, n+1)]]++;
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forr(i, n) cnt[i] += cnt[i-1];
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fore(i, n, 1) tmp[cnt[ord[min(i+t, n+1)]]--] = i;
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fors(i, 0, n) cnt[i] = 0;
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forr(i, n) cnt[ord[i]]++;
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forr(i, n) cnt[i] += cnt[i-1];
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fore(i, n, 1) sa[cnt[ord[tmp[i]]]--] = tmp[i];
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forr(i, n) tmp[sa[i]] = tmp[sa[i-1]] + cmp(sa[i-1], sa[i]);
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swap(ord, tmp);
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t<<=1;
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if(ord[sa[n]] == n) break;
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}
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}
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//LCP array {
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int k = 0;
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forr(i, n) if(ord[i] != 1) {
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int j = sa[ord[i]-1];
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while(s[i+k] == s[j+k]) k++;
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lcp[ord[i]] = k;
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if(k > 0) k--;
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}
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}
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printf("\nF : "); forr(i, n) printf("%d ", F[i]);
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printf("\nZ : "); forr(i, n) printf("%d ", Z[i]);
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printf("\nM : "); forr(i, n) printf("%d ", M[i]);
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printf("\nSA : "); forr(i, n) printf("%d ", sa[i]);
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printf("\nLCP : x "); fors(i, 2, n) printf("%d ", lcp[i]);
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printf("\n"); forr(i, n) printf("%s\n", s+sa[i]);
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}
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