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#include <bits/stdc++.h>
#include "palindromy.h"
#include "message.h"

using namespace std;
#define PB push_back
#define MP make_pair
#define LL long long
#define FOR(i,a,b) for(int i = (a); i <= (b); i++)
#define RE(i,n) FOR(i,1,n)
#define REP(i,n) FOR(i,0,(int)(n)-1)
#define R(i,n) REP(i,n)
#define VI vector<int>
#define PII pair<int,int>
#define LD long double
#define FI first
#define SE second
#define st FI
#define nd SE
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((int)(x).size())

template<class C> void mini(C& _a4, C _b4) { _a4 = min(_a4, _b4); }
template<class C> void maxi(C& _a4, C _b4) { _a4 = max(_a4, _b4); }

template<class TH> void _dbg(const char *sdbg, TH h){ cerr << sdbg << '=' << h << endl; }
template<class TH, class... TA> void _dbg(const char *sdbg, TH h, TA... a) {
  while(*sdbg!=',')cerr<<*sdbg++;cerr<<'='<<h<<','; _dbg(sdbg+1, a...);
}

template<class T> ostream& operator<<(ostream& os, vector<T> V) {
  os << "["; for (auto vv : V) os << vv << ","; os << "]"; return os;
}
template<class L, class R> ostream& operator<<(ostream& os, pair<L, R> P) {
  return os << "(" << P.st << ", " << P.nd << ")";
}

#ifdef LOCAL
#define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__)
#else
#define debug(...) (__VA_ARGS__)
#define cerr if(0)cout
#endif

const int SendAfter = 63990;

struct Sender {
    enum FieldType { FLD_CHAR, FLD_INT, FLD_LL };
    struct field {
        FieldType type;
        union { char ch; int n; LL l; };
    };
    struct Submitter {};

    vector<field> toSend;
    int dest;
    int cap;

    Sender() : dest(-10000), cap(SendAfter) {}
    Sender(int dst){
        dest = dst;
        cap = SendAfter;
        toSend.clear();
    }
    ~Sender(){
        if(toSend.size() > 0) submit();
    }

    int capacity() const { return cap; }
    void capacity(int newCapacity) { cap = newCapacity; }
    
    void submit(){
        LL msgsize = 4;
        if(toSend.size() == 0) return;
        PutInt(dest, (int)toSend.size());
        for(auto& f : toSend){
            switch(f.type){
                case FLD_CHAR: PutChar(dest, f.ch); msgsize++; break;
                case FLD_INT:  PutInt(dest, f.n); msgsize += 4; break;
                case FLD_LL:   PutLL(dest, f.l); msgsize += 8; break;
                default:       assert(false);
            }
        }
        Send(dest);
        toSend.clear();
    }

    void add_field(field f){
        assert(dest >= 0);
        toSend.push_back(f);
        if(toSend.size() >= cap) submit();
    }

    friend Sender& operator<<(Sender& snd, char ch){
        field f; f.type = FLD_CHAR; f.ch = ch; snd.add_field(f); return snd;
    }
    friend Sender& operator<<(Sender& snd, int n){
        field f; f.type = FLD_INT; f.n = n; snd.add_field(f); return snd;
    }
    friend Sender& operator<<(Sender& snd, LL l){
        field f; f.type = FLD_LL; f.l = l; snd.add_field(f); return snd;
    }
    friend Sender& operator<<(Sender& snd, Sender::Submitter){
        snd.submit(); return snd;
    }
};
Sender::Submitter submit;


struct Receiver {
    int numEnqueued;
    int node;

    Receiver() : node(-10000) {}
    Receiver(int nod) : node(nod), numEnqueued(0) {}

    void try_fetch(){
        assert(node >= -1);
        assert(numEnqueued >= 0);
        if(numEnqueued > 0){ numEnqueued--; return; }
        Receive(node);
        numEnqueued = GetInt(node);
        numEnqueued--;
    }

    char read_char(){ try_fetch(); return GetChar(node); }
    int read_int(){ try_fetch(); return GetInt(node); }
    LL read_ll(){ try_fetch(); return GetLL(node); }

    friend Receiver& operator>>(Receiver& recv, char& ch){
        ch = recv.read_char(); return recv;
    }
    friend Receiver& operator>>(Receiver& recv, int& n){
        n = recv.read_int(); return recv;
    }
    friend Receiver& operator>>(Receiver& recv, LL& l){
        l = recv.read_ll(); return recv;
    }
};

template<typename T>
Sender& operator<<(Sender& snd, const vector<T>& vec){
    snd << (int)vec.size();
    for(T v : vec) snd << v;
    return snd;
}

template<typename T>
Receiver& operator>>(Receiver& recv, vector<T>& vec){
    int sz;
    recv >> sz;
    vec = vector<T>(sz);
    for(int i = 0; i < sz; i++){
        recv >> vec[i];
    }
    return recv;
}


LL MyNode, TotalNodes;
vector<Sender> senders;
vector<Receiver> receivers;

void init(){
    MyNode     = MyNodeId();
    TotalNodes = NumberOfNodes();
    for(LL i = 0; i < TotalNodes; i++){
        senders.emplace_back(i);
        receivers.emplace_back(i);
    }
}


///////////////////////////////////////////////////////////////////////////

struct Manacher {
  // IGNORES FIRST LETTER - in[0] must be space
  // par[i] = k <=> [i - k + 1, i + k] is maximal palindrome
  // npar[i] = k <=> [i - k, i + k] is maximal palindrome
  VI par, npar;
  Manacher(string in) {
    assert(in[0] == ' ');
    int orig_n = SZ(in) - 1;
    string s = " #";
    for (int i = 1; i <= orig_n; i++) {
      s += in[i];
      s += '#';
    }
    s += '$';
    int new_n = SZ(s) - 2;
    npar.resize(new_n + 2);
    int furth_beg = 0;
    int furth_end = 0;
    for (int i = 1; i <= new_n; i++) {
      if (furth_end < i) { furth_beg = i; furth_end = i; }
      int corr_npar = furth_beg + furth_end - i;
      if (furth_end > i + npar[corr_npar]) {
        npar[i] = npar[corr_npar];
      } else {
        npar[i] = furth_end - i;
        furth_beg = i - npar[i];
        while (s[furth_beg - 1] == s[furth_end + 1]) {
          furth_beg--;
          furth_end++;
          npar[i]++;
        }
      }
    }
    par.resize(orig_n + 2);
    for (int i = 1; i <= orig_n; i++) {
      if (i < orig_n) {
        par[i] = npar[2 * i + 1] / 2;
      }
      npar[i] = npar[2 * i] / 2;
    }
    npar.resize(orig_n + 2);
  }
};


const int Mod = 1e9 + 7,
          Base = 129847121;

vector<int> pwrsBase, invPwrsBase;

int powMod(int a, int n) {
  int res = 1;
  while (n) {
    if (n & 1) { res = ((LL)res * a) % Mod; }
    n >>= 1;
    a = ((LL)a * a) % Mod;
  }
  return res;
}


struct Hasher {
  vector<int> hashes;
  int size;
  
  template <typename Iter>
  Hasher(Iter first, Iter last) {
    size = distance(first, last);
    hashes.resize(size + 1);
    
    for (int i = 0; i < size; i++) {
      LL coef = (LL)pwrsBase[i] * (*first);
      hashes[i + 1] = (hashes[i] + coef) % Mod;
      first++;
    }
  }
  
  int getHash(int left, int right) {
    assert(left <= right);
    int res = hashes[right] - hashes[left];
    if (res < 0) { res += Mod; }
    return ((LL)res * invPwrsBase[left]) % Mod;
  }
};


int N;
int maxRad;
int from, to, size;
string bucket;
vector<int> palisEven, palisOdd;
vector<int> nodesFrom;
Hasher *hashLR, *hashRL;
int seqBound;

int getBucket(int pos) {
  int res = 0;
  while (res < TotalNodes && nodesFrom[res + 1] <= pos) { res++; }
  return res;
}


void preprocPalis() {
  int leftRad  = min(from, maxRad + 1),
      rightRad = min(N - to, maxRad + 1);
  int left     = from - leftRad,
      right    = to + rightRad;
   
  string forPali = " ";
  for (int i = left; i < right; i++) {
    char ch = GetLetter(i);
    forPali += ch;
    if (i >= from && i < to) { bucket += ch; }
  }
  
  Manacher manacher(forPali);
  
  size = to - from;
  palisEven.resize(size);
  palisOdd.resize(size);
  
  //debug(from, to, left, right);
  
  int ptrOdd = leftRad + 1, ptrEven = leftRad + 1;
  for (int i = 0; i < size; i++) {
    palisOdd[i]  = manacher.npar[ptrOdd++];
    palisEven[i] = manacher.par[ptrEven++];
  }
  
  //debug(palisOdd, palisEven);
}


void preprocHashes() {
  pwrsBase.resize(size + 1);
  invPwrsBase.resize(size + 1);
  pwrsBase[0] = invPwrsBase[0] = 1;
  
  for (int i = 1; i <= size; i++) {
    pwrsBase[i] = ((LL)pwrsBase[i - 1] * Base) % Mod;
  }
  int invBase = powMod(Base, Mod - 2);
  for (int i = 1; i <= size; i++) {
    invPwrsBase[i] = ((LL)invPwrsBase[i - 1] * invBase) % Mod;
  }
  
  hashLR = new Hasher(ALL(bucket));
  hashRL = new Hasher(bucket.rbegin(), bucket.rend());
}


vector<vector<int>> makeSeq(const vector<int> &starts, int seqBound) {
  vector<VI> result;
  
  int last = -1e9;
  for (int pos : starts) {
    if (pos - last <= seqBound) {
      result.back()[1]++;
      result.back()[2] = pos - last;
    } else {
      result.push_back(VI{pos, 1, 0});
    }
    last = pos;
  }
  for (auto &data : result) { data[0] += from; }
  return result;
}


void submitPalisInfo() {
  LL result = 0;
  vector<int> largePalisOdd, largePalisEven;
  
  for (int i = 0; i < size; i++) {
    if (palisOdd[i] <= maxRad) {
      result += palisOdd[i] + 1;
    } else {
      largePalisOdd.push_back(i);
    }
  }
  
  for (int i = 0; i < size; i++) {
    if (palisEven[i] <= maxRad) {
      result += palisEven[i];
    } else {
      largePalisEven.push_back(i);
    }
  }
  
  seqBound = max(1, maxRad / 2 - 1);
  vector<vector<int>> seqPalisOdd  = makeSeq(largePalisOdd, seqBound),
                      seqPalisEven = makeSeq(largePalisEven, seqBound);
  
  debug(result, seqPalisOdd, seqPalisEven);
  senders[0] << result << seqPalisOdd << seqPalisEven << submit;
}


vector<VI> rootSeqOdd, rootSeqEven;
LL rootTotalResult;
vector<int> rootSinglesOdd, rootSinglesEven;


void rootAddSeq(vector<VI> &result, const VI &input) {
  if (SZ(result) == 0) {
    result.PB(input);
  } else {
    auto &left = result.back();
    bool leftSingle = left[1] == 1,
         rightSingle = input[1] == 1;
    int  dist = input[0] - left[0] - (left[1] - 1) * left[2];
    
    if (leftSingle && rightSingle && dist <= seqBound) {
      left[1] = 2;
      left[2] = dist;
    } else if ((leftSingle ^ rightSingle) && input[2] + left[2] == dist) {
      left[1] += input[1];
      left[2] = dist;
    } else if (!leftSingle && !rightSingle && input[2] == dist && left[2] == dist) {
      left[1] += input[1];
    } else {
      result.PB(input);
    }
  }
}


void receivePalisInfo(int node) {
  LL result;
  vector<VI> seqPalisOdd, seqPalisEven;
  receivers[node] >> result >> seqPalisOdd >> seqPalisEven;
  
  rootTotalResult += result;
  for (auto &odd : seqPalisOdd) { rootAddSeq(rootSeqOdd, odd); }
  for (auto &even : seqPalisEven) { rootAddSeq(rootSeqEven, even); }
  
  debug(rootTotalResult, rootSeqOdd, rootSeqEven);
}


void setupPaliCenter() {
  int pos, even;
  while (true) {
    receivers[0] >> pos;
    if (pos == -1) { senders[0] << submit; return; }
    receivers[0] >> even;
    
    pos -= from;
    senders[0] << (even ? palisEven : palisOdd)[pos];
  }
}

void resolveSequences() {
  bool getResults = false;
  auto askRadius = [&](int pos, int even) {
    debug(pos, even, getResults);
    int node = 0;
    while (nodesFrom[node + 1] <= pos) { node++; }
    
    if (!getResults) {
      senders[node] << pos << even;
      return -1;
    } else {
      int res;
      receivers[node] >> res;
      debug(res);
      return res;
    }
  };
  
  for (bool even : {false, true}) {
    auto &cont = even ? rootSeqEven : rootSeqOdd;
    for (auto seq : cont) {
      if (!seq[2]) { continue; }
      askRadius(seq[0] - seq[2], even);
      askRadius(seq[0] + seq[1] * seq[2], even);
    }
  }
  
  for (int i = 0; i < TotalNodes; i++) { senders[i] << -1 << submit; }
  setupPaliCenter();
  getResults = true;
  
  for (bool even : {false, true}) {
    auto &cont = even ? rootSeqEven : rootSeqOdd;
    for (auto seq : cont) {
      if (!seq[2]) {
        (even ? rootSinglesEven : rootSinglesOdd).PB(seq[0]);
        continue;
      }
      int leftR = askRadius(seq[0] - seq[2], even);
      int rightR = askRadius(seq[0] + seq[1] * seq[2], even);
      int R = maxRad;
      int cnt = seq[1];
      int step = seq[2];
      LL seqResult = 0;
      
      int cntSide = cnt / 2;
      seqResult += (LL)(leftR + rightR) * cntSide +
                   (LL)cntSide * (cntSide + 1) * step;
      if (cnt % 2 == 1) {
        (even ? rootSinglesEven : rootSinglesOdd).PB(seq[0] + cntSide * seq[2]);
      }
      
      if (!even) { seqResult += seq[1] - (cnt % 2 == 1); }
      debug(leftR, rightR, R, cnt, step, cntSide, seqResult);
      rootTotalResult += seqResult;
    }
  }
}


void setupHashCenter() {
  int start, end, reverse;
  while (true) {
    receivers[0] >> start;
    if (start == -1) { senders[0] << submit; return; }
    receivers[0] >> end >> reverse;
    
    start -= from;
    end -= from;
    int result;
    
    if (!reverse) {
      result = hashLR->getHash(start, end);
    } else {
      result = hashRL->getHash(size - end, size - start);
    }
    senders[0] << result;
  }
}


void setupExtendingCenter() {
  int left, right;
  LL curTotal = 0;
  
  while (true) {
    receivers[0] >> left;
    if (left == -42) { senders[0] << curTotal << submit; return; }
    receivers[0] >> right;
    
    while (left >= 0 && right < N) {
      char lch = GetLetter(left),
           rch = GetLetter(right);
      if (lch == rch) {
        left--; right++;
      } else {
        break;
      }
    }
    
    curTotal += (right - left) / 2;
  }
}


void resolveOrphans() {
  vector<PII> orphanPalis;
  for (int v : rootSinglesEven) {
    orphanPalis.emplace_back(v, v + 1);  // ??? FIXME
  }
  for (int v : rootSinglesOdd) {
    orphanPalis.emplace_back(v, v);
  }
  
  debug(orphanPalis);
  
  vector<vector<vector<int>>> toCheck;
  
  for (auto pali : orphanPalis) {
    int left = pali.first, right = pali.second;
    int leftBuck = getBucket(left), rightBuck = getBucket(right);
    
    vector<vector<int>> checksForPali;
    while (left >= 0 && right < N) {
      int cntLeft  = left - nodesFrom[leftBuck] + 1,
          cntRight = nodesFrom[rightBuck + 1] - right;
      int cntJump  = min(cntLeft, cntRight);
      
      senders[leftBuck] << left - cntJump + 1 << left + 1 << 0;
      senders[rightBuck] << right << right + cntJump << 1;
      left -= cntJump;
      right += cntJump;
      checksForPali.push_back({leftBuck, rightBuck, left, right});
      
      if (cntLeft == cntJump) { leftBuck--; }
      if (cntRight == cntJump) { rightBuck++; }
    }
    toCheck.push_back(checksForPali);
  }
  
  for (int i = 0; i < TotalNodes; i++) {
    senders[i] << -1 << submit;
  }
  
  setupHashCenter();
  
  int ptr = 0;
  for (auto &pali : orphanPalis) {
    bool failed = false;
    for (auto checks : toCheck[ptr]) {
      int lbuck = checks[0], rbuck = checks[1], left = checks[2], right = checks[3];
      int lhash, rhash;
      receivers[lbuck] >> lhash;
      receivers[rbuck] >> rhash;
      
      if (!failed && lhash == rhash) {
        pali.first = left;
        pali.second = right;
      } else {
        failed = true;
      }
    }
    ptr++;
  }

  
  int nodeOrder = 0;
  for (auto pali : orphanPalis) {
    nodeOrder = (nodeOrder + 1) % TotalNodes;
    senders[nodeOrder] << pali.first << pali.second;
  }
  
  for (int i = 0; i < TotalNodes; i++) {
    senders[i] << -42 << submit;
  }
  
  setupExtendingCenter();
  
  for (int i = 0; i < TotalNodes; i++) {
    LL incr;
    receivers[i] >> incr;
    rootTotalResult += incr;
  }
}



int32_t main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout << fixed << setprecision(11);
  cerr << fixed << setprecision(6);
  init();
  
  N = (int)GetLength();
  maxRad = (N + TotalNodes - 1) / TotalNodes;
  
  for (int i = 0; i <= TotalNodes; i++) {
    nodesFrom.PB(((LL)N * i) / TotalNodes);
  }
  from = nodesFrom[MyNode];
  to   = nodesFrom[MyNode + 1];
  
  preprocPalis();
  preprocHashes();
  
  submitPalisInfo();
  
  if (!MyNode) {
    // Rozwiaz ciagi arytmetyczne palindromow.
    for (int i = 0; i < TotalNodes; i++) {
      receivePalisInfo(i);
    }
    resolveSequences();
    
    // Rozwiaz samotne palindromy.
    resolveOrphans();
    
    cout << rootTotalResult << "\n";
    
  } else {
    setupPaliCenter();
    setupHashCenter();
    setupExtendingCenter();
  }
}