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Kmp.cpp
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#include<bits/stdc++.h> // "Hello there"
using namespace std;
// ->uncomment for ordered set
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
// using namespace __gnu_pbds;
// // typedef tree<pair<int, int>, null_type, less<pair<int, int>>, rb_tree_tag, tree_order_statistics_node_update> ordered_set; // for pair
// typedef tree<int , null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
// ->uncomment for unordered map of pairs.
// #include<functional>
// template <typename T>
// inline void hash_combine(std::size_t &seed, const T &val) {seed ^= std::hash<T>()(val) + 0x9e3779b9 + (seed << 6) + (seed >> 2);}
// template <typename T> inline void hash_val(std::size_t &seed, const T &val) {hash_combine(seed, val);}
// template <typename T, typename... Types>
// inline void hash_val(std::size_t &seed, const T &val, const Types &... args) {hash_combine(seed, val); hash_val(seed, args...);}
// template <typename... Types>
// inline std::size_t hash_val(const Types &... args) { std::size_t seed = 0; hash_val(seed, args...);return seed;}
// struct pair_hash
// {
// template <class T1, class T2>
// std::size_t operator()(const std::pair<T1, T2> &p) const
// {
// return hash_val(p.first, p.second);
// }
// };
#define pb push_back
#define ll long long int
#define SORTA(v) sort(v.begin(),v.end())
#define SORTD(v) sort(v.begin(),v.end(),greater<>())
#define endl '\n'
#define FOR(i,n) for(ll i = 0;i<n;i++)
#define FOR1(i,n) for(ll i=1;i<=n;i++)
#define FAST ios_base::sync_with_stdio(false); cin.tie(NULL);
#define REVERSE(s) reverse(s.begin(),s.end())
#define GCD(a,b) __gcd(a,b)
#define VFIND(v1,val) find(v1.begin() , v1.end() , val )
#define VFILL(v1 , val) std::fill(v1.begin(), v1.end(), val);
#define ERASE(x) x.erase(unique(x.begin(),x.end()),x.end())
const int MOD = 1e9 + 7;
long long int INF = 1e17;
void DPM(map<ll,ll>m1)
{
for(auto it = m1.begin();it!=m1.end();it++)
{
cout<<it->first<<" "<<it->second<<endl;
}
cout<<endl;
}
void DPV(vector<ll>v)
{
FOR(i,v.size())cout<<v[i]<<" ";cout<<endl;
}
void DPS(set<ll>s1)
{
for(auto it =s1.begin();it!=s1.end();it++)cout<<*it<<" ";cout<<endl;
}
ll dx[4] = { 0,0,1,-1 };
ll dy[4] = { 1,-1,0,0 };
string pos = "RLDU";
void compute_lps (string pat , int lps[] )
{
int n = pat.size() ,i=0,j=1;
while(j<n)
{
if( pat[i] == pat[j] )
{
lps[j] = i + 1;
i++; j++;
}
else
{
if(i > 0 )
{
i = lps[i-1];
}
else i = 0 , j++;
}
}
}
int Search(string pat , string text , int lps[] )
{
int n = text.size() , m = pat.size() , i=0, j=0 , ans = 0;
while(i<n)
{
if( text[i] == pat[j] )
{
i++; j++;
}
else
{
if(j > 0 )
{
j = lps[j-1];
}
else j = 0 , i++;
}
if(j == m )
{
ans++;
j = lps[j-1];
}
}
return ans;
}
const ll NN = 3* (1e5) + 100;
int main()
{
FAST;
ll i ,j , TC = 1;
// cin>>TC;
FOR1(T,TC)
{
string s;cin>>s;
int lps[ s.size() + 1 ];
memset(lps,0,sizeof lps);
compute_lps(s,lps);
cout<<lps[s.size() - 1];
}
}
/* A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
pat[i] != pat[j] ->
3 5
A C A C A B
i j -> pat[0..i] = pat[j-i...j-1]
pat[0..1...2] = pat[2..3..4]
pat[0..0] = pat[2..2] => pat[0..0] = pat[4..4]
now if pat[1] = pat[5] : i.e pat[ lps[i-1] ] = pat[j] => pat[0..1] = pat[4..5]
i = lps[i-1];
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j not eq => i = lps[i-1];
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 lps[j] = i+1; if equal
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A B A C A C A B A C A C A C
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
i j
A C A C A = A C A C A
0........4 = 12...........16
now check if 5 = 17 if yes 0....5 = 12...17
A C A = A C A
0....2 = 14...16
now check if 3 = 17
3 = 17 so 0...4 = 14..17
so lps = 4
LPS 0 0
1 0
2 1
3 2
4 3
5 0
6 1
7 2
8 3
9 4
10 5
11 6
12 7
13 8
14 9
15 10
16 11
17 2
*/
// vector<vector<int>> vec( n , vector<int> (m, 0)); 2d vector
// to_string(a)
// s1.substr(1,3) 3 char of s1 starting from 1 s1.sub(pos) starting from pos
// assic value of ('0'-'9') is(48 - 57) and (a-z) is (97-122) and (A-Z) is(65-90) and 32 for space
// reverse(v1.begin() + a , v1.begin() + b) reverse starting from a to b-1
// A lambda function is written like [](argument1,argument2,.....){//code}
// to create unordered map for pairs unordered_map<pair<ll, ll>, ll, pair_hash> slopeCount;
// unordered_set<pair<ll, ll>, pair_hash> seen;