Problem: Fedya has a string S, initially empty, and an array W, also initially empty.

There are n queries to process, one at a time. Query i consists of a lowercase English letter c_i and a nonnegative integer w_i. First, c_i must be appended to S, and w_i must be appended to W. The answer to the query is the sum of suspiciousnesses for all subsegments of W [L, \ R], (1 ≤ L ≤ R ≤ i).

We define the suspiciousness of a subsegment as follows: if the substring of S corresponding to this subsegment (that is, a string of consecutive characters from L-th to R-th, inclusive) matches the prefix of S of the same length (that is, a substring corresponding to the subsegment [1, \ R - L + 1]), then its suspiciousness is equal to the minimum in the array W on the [L, \ R] subsegment. Otherwise, in case the substring does not match the corresponding prefix, the suspiciousness is 0.

Help Fedya answer all the queries before the orderlies come for him!

Input

The first line contains an integer n (1 ≤ n ≤ 600 000) — the number of queries.

The i-th of the following n lines contains the query i: a lowercase letter of the Latin alphabet c_i and an integer w_i (0 ≤ w_i ≤ 2^{30} - 1).

All queries are given in an encrypted form. Let ans be the answer to the previous query (for the first query we set this value equal to 0). Then, in order to get the real query, you need to do the following: perform a cyclic shift of c_i in the alphabet forward by ans, and set w_i equal to w_i ⊕ (ans \ \& \ MASK), where ⊕ is the bitwise exclusive "or", \& is the bitwise "and", and MASK = 2^{30} - 1.

Output

Print n lines, i-th line should contain a single integer — the answer to the i-th query.

Examples

Input


7
a 1
a 0
y 3
y 5
v 4
u 6
r 8


Output


1
2
4
5
7
9
12


Input


4
a 2
y 2
z 0
y 2


Output


2
2
2
2


Input


5
a 7
u 5
t 3
s 10
s 11


Output


7
9
11
12
13

Note

For convenience, we will call "suspicious" those subsegments for which the corresponding lines are prefixes of S, that is, those whose suspiciousness may not be zero.

As a result of decryption in the first example, after all requests, the string S is equal to "abacaba", and all w_i = 1, that is, the suspiciousness of all suspicious sub-segments is simply equal to 1. Let's see how the answer is obtained after each request:

1. S = "a", the array W has a single subsegment — [1, \ 1], and the corresponding substring is "a", that is, the entire string S, thus it is a prefix of S, and the suspiciousness of the subsegment is 1.

2. S = "ab", suspicious subsegments: [1, \ 1] and [1, \ 2], total 2.

3. S = "aba", suspicious subsegments: [1, \ 1], [1, \ 2], [1, \ 3] and [3, \ 3], total 4.

4. S = "abac", suspicious subsegments: [1, \ 1], [1, \ 2], [1, \ 3], [1, \ 4] and [3, \ 3], total 5.

5. S = "abaca", suspicious subsegments: [1, \ 1], [1, \ 2], [1, \ 3], [1, \ 4] , [1, \ 5], [3, \ 3] and [5, \ 5], total 7.

6. S = "abacab", suspicious subsegments: [1, \ 1], [1, \ 2], [1, \ 3], [1, \ 4] , [1, \ 5], [1, \ 6], [3, \ 3], [5, \ 5] and [5, \ 6], total 9.

7. S = "abacaba", suspicious subsegments: [1, \ 1], [1, \ 2], [1, \ 3], [1, \ 4] , [1, \ 5], [1, \ 6], [1, \ 7], [3, \ 3], [5, \ 5], [5, \ 6], [5, \ 7] and [7, \ 7], total 12.

In the second example, after all requests S = "aaba", W = [2, 0, 2, 0].

1. S = "a", suspicious subsegments: [1, \ 1] (suspiciousness 2), totaling 2.

2. S = "aa", suspicious subsegments: [1, \ 1] (2), [1, \ 2] (0), [2, \ 2] ( 0), totaling 2.

3. S = "aab", suspicious subsegments: [1, \ 1] (2), [1, \ 2] (0), [1, \ 3] ( 0), [2, \ 2] (0), totaling 2.

4. S = "aaba", suspicious subsegments: [1, \ 1] (2), [1, \ 2] (0), [1, \ 3] ( 0), [1, \ 4] (0), [2, \ 2] (0), [4, \ 4] (0), totaling 2.

In the third example, from the condition after all requests S = "abcde", W = [7, 2, 10, 1, 7].

1. S = "a", suspicious subsegments: [1, \ 1] (7), totaling 7.

2. S = "ab", suspicious subsegments: [1, \ 1] (7), [1, \ 2] (2), totaling 9.

3. S = "abc", suspicious subsegments: [1, \ 1] (7), [1, \ 2] (2), [1, \ 3] ( 2), totaling 11.

4. S = "abcd", suspicious subsegments: [1, \ 1] (7), [1, \ 2] (2), [1, \ 3] ( 2), [1, \ 4] (1), totaling 12.

5. S = "abcde", suspicious subsegments: [1, \ 1] (7), [1, \ 2] (2), [1, \ 3] ( 2), [1, \ 4] (1), [1, \ 5] (1), totaling 13.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
const int base = 1000000000;
const int base_digits = 9;
struct bigint {
  std::vector<int> z;
  int sign;
  bigint() : sign(1) {}
  bigint(long long v) { *this = v; }
  bigint(const std::string &s) { read(s); }
  void operator=(const bigint &v) {
    sign = v.sign;
    z = v.z;
  }
  void operator=(long long v) {
    sign = 1;
    if (v < 0) sign = -1, v = -v;
    z.clear();
    for (; v > 0; v = v / base) z.push_back(v % base);
  }
  bigint operator+(const bigint &v) const {
    if (sign == v.sign) {
      bigint res = v;
      for (int i = 0, carry = 0;
           i < (int)std::max(z.size(), v.z.size()) || carry; ++i) {
        if (i == (int)res.z.size()) res.z.push_back(0);
        res.z[i] += carry + (i < (int)z.size() ? z[i] : 0);
        carry = res.z[i] >= base;
        if (carry) res.z[i] -= base;
      }
      return res;
    }
    return *this - (-v);
  }
  bigint operator-(const bigint &v) const {
    if (sign == v.sign) {
      if (abs() >= v.abs()) {
        bigint res = *this;
        for (int i = 0, carry = 0; i < (int)v.z.size() || carry; ++i) {
          res.z[i] -= carry + (i < (int)v.z.size() ? v.z[i] : 0);
          carry = res.z[i] < 0;
          if (carry) res.z[i] += base;
        }
        res.trim();
        return res;
      }
      return -(v - *this);
    }
    return *this + (-v);
  }
  void operator*=(int v) {
    if (v < 0) sign = -sign, v = -v;
    for (int i = 0, carry = 0; i < (int)z.size() || carry; ++i) {
      if (i == (int)z.size()) z.push_back(0);
      long long cur = z[i] * (long long)v + carry;
      carry = (int)(cur / base);
      z[i] = (int)(cur % base);
    }
    trim();
  }
  bigint operator*(int v) const {
    bigint res = *this;
    res *= v;
    return res;
  }
  friend std::pair<bigint, bigint> divmod(const bigint &a1, const bigint &b1) {
    int norm = base / (b1.z.back() + 1);
    bigint a = a1.abs() * norm;
    bigint b = b1.abs() * norm;
    bigint q, r;
    q.z.resize(a.z.size());
    for (int i = a.z.size() - 1; i >= 0; i--) {
      r *= base;
      r += a.z[i];
      int s1 = b.z.size() < r.z.size() ? r.z[b.z.size()] : 0;
      int s2 = b.z.size() - 1 < r.z.size() ? r.z[b.z.size() - 1] : 0;
      int d = ((long long)s1 * base + s2) / b.z.back();
      r -= b * d;
      while (r < 0) r += b, --d;
      q.z[i] = d;
    }
    q.sign = a1.sign * b1.sign;
    r.sign = a1.sign;
    q.trim();
    r.trim();
    return std::make_pair(q, r / norm);
  }
  friend bigint sqrt(const bigint &a1) {
    bigint a = a1;
    while (a.z.empty() || a.z.size() % 2 == 1) a.z.push_back(0);
    int n = a.z.size();
    int firstDigit = (int)sqrt((double)a.z[n - 1] * base + a.z[n - 2]);
    int norm = base / (firstDigit + 1);
    a *= norm;
    a *= norm;
    while (a.z.empty() || a.z.size() % 2 == 1) a.z.push_back(0);
    bigint r = (long long)a.z[n - 1] * base + a.z[n - 2];
    firstDigit = (int)sqrt((double)a.z[n - 1] * base + a.z[n - 2]);
    int q = firstDigit;
    bigint res;
    for (int j = n / 2 - 1; j >= 0; j--) {
      for (;; --q) {
        bigint r1 =
            (r - (res * 2 * base + q) * q) * base * base +
            (j > 0 ? (long long)a.z[2 * j - 1] * base + a.z[2 * j - 2] : 0);
        if (r1 >= 0) {
          r = r1;
          break;
        }
      }
      res *= base;
      res += q;
      if (j > 0) {
        int d1 = res.z.size() + 2 < r.z.size() ? r.z[res.z.size() + 2] : 0;
        int d2 = res.z.size() + 1 < r.z.size() ? r.z[res.z.size() + 1] : 0;
        int d3 = res.z.size() < r.z.size() ? r.z[res.z.size()] : 0;
        q = ((long long)d1 * base * base + (long long)d2 * base + d3) /
            (firstDigit * 2);
      }
    }
    res.trim();
    return res / norm;
  }
  bigint operator/(const bigint &v) const { return divmod(*this, v).first; }
  bigint operator%(const bigint &v) const { return divmod(*this, v).second; }
  void operator/=(int v) {
    if (v < 0) sign = -sign, v = -v;
    for (int i = (int)z.size() - 1, rem = 0; i >= 0; --i) {
      long long cur = z[i] + rem * (long long)base;
      z[i] = (int)(cur / v);
      rem = (int)(cur % v);
    }
    trim();
  }
  bigint operator/(int v) const {
    bigint res = *this;
    res /= v;
    return res;
  }
  int operator%(int v) const {
    if (v < 0) v = -v;
    int m = 0;
    for (int i = z.size() - 1; i >= 0; --i)
      m = (z[i] + m * (long long)base) % v;
    return m * sign;
  }
  void operator+=(const bigint &v) { *this = *this + v; }
  void operator-=(const bigint &v) { *this = *this - v; }
  void operator*=(const bigint &v) { *this = *this * v; }
  void operator/=(const bigint &v) { *this = *this / v; }
  bool operator<(const bigint &v) const {
    if (sign != v.sign) return sign < v.sign;
    if (z.size() != v.z.size()) return z.size() * sign < v.z.size() * v.sign;
    for (int i = z.size() - 1; i >= 0; i--)
      if (z[i] != v.z[i]) return z[i] * sign < v.z[i] * sign;
    return false;
  }
  bool operator>(const bigint &v) const { return v < *this; }
  bool operator<=(const bigint &v) const { return !(v < *this); }
  bool operator>=(const bigint &v) const { return !(*this < v); }
  bool operator==(const bigint &v) const {
    return !(*this < v) && !(v < *this);
  }
  bool operator!=(const bigint &v) const { return *this < v || v < *this; }
  void trim() {
    while (!z.empty() && z.back() == 0) z.pop_back();
    if (z.empty()) sign = 1;
  }
  bool isZero() const { return z.empty() || (z.size() == 1 && !z[0]); }
  bigint operator-() const {
    bigint res = *this;
    res.sign = -sign;
    return res;
  }
  bigint abs() const {
    bigint res = *this;
    res.sign *= res.sign;
    return res;
  }
  long long longValue() const {
    long long res = 0;
    for (int i = z.size() - 1; i >= 0; i--) res = res * base + z[i];
    return res * sign;
  }
  friend bigint gcd(const bigint &a, const bigint &b) {
    return b.isZero() ? a : gcd(b, a % b);
  }
  friend bigint lcm(const bigint &a, const bigint &b) {
    return a / gcd(a, b) * b;
  }
  void read(const std::string &s) {
    sign = 1;
    z.clear();
    int pos = 0;
    while (pos < (int)s.size() && (s[pos] == '-' || s[pos] == '+')) {
      if (s[pos] == '-') sign = -sign;
      ++pos;
    }
    for (int i = s.size() - 1; i >= pos; i -= base_digits) {
      int x = 0;
      for (int j = std::max(pos, i - base_digits + 1); j <= i; j++)
        x = x * 10 + s[j] - '0';
      z.push_back(x);
    }
    trim();
  }
  friend std::istream &operator>>(std::istream &stream, bigint &v) {
    std::string s;
    stream >> s;
    v.read(s);
    return stream;
  }
  friend std::ostream &operator<<(std::ostream &stream, const bigint &v) {
    if (v.sign == -1) stream << '-';
    stream << (v.z.empty() ? 0 : v.z.back());
    for (int i = (int)v.z.size() - 2; i >= 0; --i)
      stream << std::setw(base_digits) << std::setfill('0') << v.z[i];
    return stream;
  }
  static std::vector<int> convert_base(const std::vector<int> &a,
                                       int old_digits, int new_digits) {
    std::vector<long long> p(std::max(old_digits, new_digits) + 1);
    p[0] = 1;
    for (int i = 1; i < (int)p.size(); i++) p[i] = p[i - 1] * 10;
    std::vector<int> res;
    long long cur = 0;
    int cur_digits = 0;
    for (int i = 0; i < (int)a.size(); i++) {
      cur += a[i] * p[cur_digits];
      cur_digits += old_digits;
      while (cur_digits >= new_digits) {
        res.push_back(int(cur % p[new_digits]));
        cur /= p[new_digits];
        cur_digits -= new_digits;
      }
    }
    res.push_back((int)cur);
    while (!res.empty() && res.back() == 0) res.pop_back();
    return res;
  }
  static std::vector<long long> karatsubaMultiply(
      const std::vector<long long> &a, const std::vector<long long> &b) {
    int n = a.size();
    std::vector<long long> res(n + n);
    if (n <= 32) {
      for (int i = 0; i < n; i++)
        for (int j = 0; j < n; j++) res[i + j] += a[i] * b[j];
      return res;
    }
    int k = n >> 1;
    std::vector<long long> a1(a.begin(), a.begin() + k);
    std::vector<long long> a2(a.begin() + k, a.end());
    std::vector<long long> b1(b.begin(), b.begin() + k);
    std::vector<long long> b2(b.begin() + k, b.end());
    std::vector<long long> a1b1 = karatsubaMultiply(a1, b1);
    std::vector<long long> a2b2 = karatsubaMultiply(a2, b2);
    for (int i = 0; i < k; i++) a2[i] += a1[i];
    for (int i = 0; i < k; i++) b2[i] += b1[i];
    std::vector<long long> r = karatsubaMultiply(a2, b2);
    for (int i = 0; i < (int)a1b1.size(); i++) r[i] -= a1b1[i];
    for (int i = 0; i < (int)a2b2.size(); i++) r[i] -= a2b2[i];
    for (int i = 0; i < (int)r.size(); i++) res[i + k] += r[i];
    for (int i = 0; i < (int)a1b1.size(); i++) res[i] += a1b1[i];
    for (int i = 0; i < (int)a2b2.size(); i++) res[i + n] += a2b2[i];
    return res;
  }
  bigint operator*(const bigint &v) const {
    std::vector<int> a6 = convert_base(this->z, base_digits, 6);
    std::vector<int> b6 = convert_base(v.z, base_digits, 6);
    std::vector<long long> a(a6.begin(), a6.end());
    std::vector<long long> b(b6.begin(), b6.end());
    while (a.size() < b.size()) a.push_back(0);
    while (b.size() < a.size()) b.push_back(0);
    while (a.size() & (a.size() - 1)) a.push_back(0), b.push_back(0);
    std::vector<long long> c = karatsubaMultiply(a, b);
    bigint res;
    res.sign = sign * v.sign;
    for (int i = 0, carry = 0; i < (int)c.size(); i++) {
      long long cur = c[i] + carry;
      res.z.push_back((int)(cur % 1000000));
      carry = (int)(cur / 1000000);
    }
    res.z = convert_base(res.z, 6, base_digits);
    res.trim();
    return res;
  }
};
bigint lastans;
const int maxn = 6e5 + 222;
const int mask = (1 << 30);
using ll = long long;
int q, s[maxn], nxt[maxn], pre[maxn], w[maxn];
std::map<int, int> cnt;
std::vector<int> stk;
char t[10];
ll sum = 0;
int query(int x) { return w[*std::lower_bound(stk.begin(), stk.end(), x)]; }
int main() {
  scanf("%d", &q);
  scanf("%s%d", t + 1, &w[1]);
  s[1] = t[1] - 'a';
  lastans = w[1];
  stk.push_back(1);
  std::cout << lastans << "\n";
  for (int n = 2, j = 0; n <= q; ++n) {
    scanf("%s%d", t + 1, &w[n]);
    int c = (lastans + t[1] - 'a') % 26;
    s[n] = c;
    w[n] = w[n] ^ (lastans % mask);
    while (j && s[j + 1] != s[n]) j = nxt[j];
    if (s[j + 1] == s[n]) j++;
    nxt[n] = j;
    if (s[nxt[n - 1] + 1] == s[n])
      pre[n - 1] = pre[nxt[n - 1]];
    else
      pre[n - 1] = nxt[n - 1];
    int x = nxt[n - 1];
    while (x) {
      if (s[x + 1] == s[n])
        x = pre[x];
      else {
        int w = query(n - x);
        cnt[w]--;
        sum -= w;
        x = nxt[x];
      }
    }
    while (stk.size() && w[stk.back()] >= w[n]) stk.pop_back();
    stk.push_back(n);
    int cw = 0;
    for (auto it = cnt.upper_bound(w[n]); it != cnt.end();) {
      sum -= (ll)it->second * (it->first - w[n]);
      cw += it->second;
      auto nw = std::next(it);
      cnt.erase(it);
      it = nw;
    }
    cnt[w[n]] += cw;
    if (s[1] == s[n]) {
      cnt[w[n]]++;
      sum += w[n];
    }
    lastans += sum + w[stk[0]];
    std::cout << lastans << "\n";
  }
  return 0;
}