Problem:
Score : 400 points

Problem Statement

You have a sequence A composed of N positive integers: A_{1}, A_{2}, \cdots, A_{N}.

You will now successively do the following Q operations:

In the i-th operation, you replace every element whose value is B_{i} with C_{i}.

For each i (1 \leq i \leq Q), find S_{i}: the sum of all elements in A just after the i-th operation.

Constraints

All values in input are integers.

1 \leq N, Q, A_{i}, B_{i}, C_{i} \leq 10^{5}

B_{i} \neq C_{i}

Input

Input is given from Standard Input in the following format:

N
A_{1} A_{2} \cdots A_{N}
Q
B_{1} C_{1}
B_{2} C_{2}
\vdots
B_{Q} C_{Q}

Output

Print Q integers S_{i} to Standard Output in the following format:

S_{1}
S_{2}
\vdots
S_{Q}

Note that S_{i} may not fit into a 32-bit integer.

Sample Input 1

4
1 2 3 4
3
1 2
3 4
2 4

Sample Output 1

11
12
16

Initially, the sequence A is 1,2,3,4.

After each operation, it becomes the following:

2, 2, 3, 4

2, 2, 4, 4

4, 4, 4, 4

Sample Input 2

4
1 1 1 1
3
1 2
2 1
3 5

Sample Output 2

8
4
4

Note that the sequence A may not contain an element whose value is B_{i}.

Sample Input 3

2
1 2
3
1 100
2 100
100 1000

Sample Output 3

102
200
2000

Solution in C++ (Clang 10.0.0) (judge verdict: Accepted)

#include <algorithm>
#include <array>
#include <cassert>
#include <cctype>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <functional>
#include <iomanip>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <optional>
#include <queue>
#include <set>
#include <string>
#include <string_view>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <vector>
using namespace std;

int64_t read_int() {
    int64_t ret = 0, sgn = 1;
    int ch = getchar_unlocked();
    while (isspace(ch)) { ch = getchar_unlocked(); }
    if (ch == '-') { sgn = -1; ch = getchar_unlocked(); }
    for (; isdigit(ch); ch = getchar_unlocked())
        ret = (ret * 10) + (ch - '0');
    ungetc(ch, stdin);
    return sgn * ret;
}

#define REP(i, n) for (int i = 0; i < (int)(n); ++i)
#define FOR(i, a, b) for (int i = (int)(a); i < (int)(b); ++i)
#define ALL(c) (c).begin(), (c).end()

template <typename T> inline void assign_min(T& x, const T& value) noexcept { x = min(x, value); }
template <typename T> inline void assign_max(T& x, const T& value) noexcept { x = max(x, value); }

constexpr char LF = '\n';

//-------------------------------------------------------------------------------------------------

int main() {
    auto N = read_int();
    map<int64_t, int64_t> A; // 値 → 個数
    REP(i, N) {
        auto a = read_int();
        ++A[a];
    }

    int64_t sum = 0;
    for (auto [value, cnt] : A) {
        sum += value * cnt;
    }

    auto Q = read_int();
    REP(q, Q) {
        auto B = read_int();
        auto C = read_int();
        auto cnt = A[B];
        sum -= B * cnt;
        sum += C * cnt;
        A[C] += cnt;
        A.erase(B);
        cout << sum << LF;
    }
}