#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cmath>
#include <numeric>
#include <cstring>
#include <queue>
#include <set>
#include <map>
#include <bitset>
#include <random>
#include <ctime>
#include <chrono>
#include <iomanip>
#include <cassert>

typedef long long ll;
typedef double lf;

// #define DEBUG 1
struct IO
{
    #define MAXSIZE (1 << 20)
    #define isdigit(x) (x >= '0' && x <= '9')
    char buf[MAXSIZE], *p1, *p2;
    char pbuf[MAXSIZE], *pp;
    #if DEBUG
    #else
    IO() : p1(buf), p2(buf), pp(pbuf) {}
    ~IO() {fwrite(pbuf, 1, pp - pbuf, stdout);}
    #endif
    #define gc() (p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, MAXSIZE, stdin), p1 == p2) ? ' ' : *p1++)
    #define blank(x) (x == ' ' || x == '\n' || x == '\r' || x == '\t')

    template <typename T>
    void Read(T &x)
    {
        #if DEBUG
        std::cin >> x;
        #else
        bool sign = 0; char ch = gc(); x = 0;
        for (; !isdigit(ch); ch = gc())
            if (ch == '-') sign = 1;
        for (; isdigit(ch); ch = gc()) x = x * 10 + (ch ^ 48);
        if (sign) x = -x;
        #endif
    }
    void Read(char *s)
    {
        #if DEBUG
        std::cin >> s;
        #else
        char ch = gc();
        for (; blank(ch); ch = gc());
        for (; !blank(ch); ch = gc()) *s++ = ch;
        *s = 0;
        #endif
    }
    void Read(char &c) {for (c = gc(); blank(c); c = gc());}

    void Push(const char &c)
    {
        #if DEBUG
        putchar(c);
        #else
        if (pp - pbuf == MAXSIZE) fwrite(pbuf, 1, MAXSIZE, stdout), pp = pbuf;
        *pp++ = c;
        #endif
    }
    template <typename T>
    void Write(T x)
    {
        if (x < 0) x = -x, Push('-');
        static T sta[35];
        int top = 0;
        do sta[top++] = x % 10, x /= 10; while (x);
        while (top) Push(sta[--top] ^ 48);
    }
    template <typename T>
    void Write(T x, char lst) {Write(x), Push(lst);}
} IO;
#define Read(x) IO.Read(x)
#define Write(x, y) IO.Write(x, y)
#define Put(x) IO.Push(x)

using namespace std;

const int MAXN = 8010, mod = 998244353;

ll s[MAXN][MAXN], pw[MAXN][MAXN], ipw[MAXN][MAXN], fac[MAXN];

int main()
{
    #if DEBUG
    #else
    ios::sync_with_stdio(0), cin.tie(0);
    #endif

    fac[0] = 1; for (int i = 1; i < MAXN; i++) fac[i] = fac[i - 1] * i % mod;
    for (int i = 1; i < MAXN; i++) s[i][1] = 1;
    for (int i = 2; i < MAXN; i++)
        for (int j = 2; j <= i; j++)
            s[i][j] = (s[i - 1][j - 1] + j * s[i - 1][j]) % mod;
    for (int i = 1; i < MAXN; i++) pw[i][0] = 1, pw[i][1] = i, ipw[i][0] = 1;
    ipw[1][1] = 1; for (int i = 2; i < MAXN; i++) ipw[i][1] = (mod - mod / i) * ipw[mod % i][1] % mod;
    for (int i = 1; i < MAXN; i++)
        for (int j = 2; j < MAXN; j++)
            pw[i][j] = pw[i][j - 1] * pw[i][1] % mod, ipw[i][j] = ipw[i][j - 1] * ipw[i][1] % mod;
    int T;
    Read(T);
    while (T--)
    {
        int n, m;
        Read(n), Read(m);
        cout << ((pw[m + 1][n] - s[n][m + 1] * fac[m + 1] % mod + mod) * ipw[m][n] - 1 + mod) % mod << '\n';
    }
    return 0;
}