#include <bits/stdc++.h>
using namespace std;
/*
------------------------Input Checker----------------------------------
*/
long long readInt(long long l,long long r,char endd){
long long x=0;
int cnt=0;
int fi=-1;
bool is_neg=false;
while(true){
char g=getchar();
if(g=='-'){
assert(fi==-1);
is_neg=true;
continue;
}
if('0'<=g && g<='9'){
x*=10;
x+=g-'0';
if(cnt==0){
fi=g-'0';
}
cnt++;
assert(fi!=0 || cnt==1);
assert(fi!=0 || is_neg==false);
assert(!(cnt>19 || ( cnt==19 && fi>1) ));
} else if(g==endd){
if(is_neg){
x= -x;
}
if(!(l <= x && x <= r))
{
cerr << l << ' ' << r << ' ' << x << '\n';
assert(1 == 0);
}
return x;
} else {
assert(false);
}
}
}
string readString(int l,int r,char endd){
string ret="";
int cnt=0;
while(true){
char g=getchar();
assert(g!=-1);
if(g==endd){
break;
}
cnt++;
ret+=g;
}
assert(l<=cnt && cnt<=r);
return ret;
}
long long readIntSp(long long l,long long r){
return readInt(l,r,' ');
}
long long readIntLn(long long l,long long r){
return readInt(l,r,'\n');
}
string readStringLn(int l,int r){
return readString(l,r,'\n');
}
string readStringSp(int l,int r){
return readString(l,r,' ');
}
/*
------------------------Main code starts here----------------------------------
*/
const int MAX_T = 1e5;
const int MAX_N = 1e5;
const int MAX_SUM_LEN = 1e5;
#define fast ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define ff first
#define ss second
#define mp make_pair
#define ll long long
#define rep(i,n) for(int i=0;i<n;i++)
#define rev(i,n) for(int i=n;i>=0;i--)
#define rep_a(i,a,n) for(int i=a;i<n;i++)
#define pb push_back
ll sum_n = 0, sum_m = 0;
int max_n = 0, max_m = 0;
int yess = 0;
int nos = 0;
int total_ops = 0;
ll mod = 998244353;
using ii = pair<ll,ll>;
const ll MX=200000;
ll fac[MX], ifac[MX];
ll po(ll x, ll n ){
ll ans=1;
while(n>0){
if(n&1) ans=(ans*x)%mod;
x=(x*x)%mod;
n/=2;
}
return ans;
}
void pre(){
fac[0]=1;
rep_a(i,1,MX) fac[i]= (i*fac[i-1])%mod;
rep(i,MX) ifac[i]= po(fac[i], mod-2);
}
ll ncr(ll n, ll r){
if(r>n || r<0 || n<0) return 0;
return (fac[n]*((ifac[r]*ifac[n-r])%mod))%mod;
}
void solve(){
ll m = readIntLn(2,1e3);
int q = readIntLn(1,1e5);
int sz = 500;
int nax = 100005;
vector<vector<ll> > dp(nax/sz+5, vector<ll>(nax,0));
ll p = po(m-1,mod-2);
ll pw[nax], pm[nax];
pw[0]=pm[0]=1;
rep_a(i,1,nax){
pw[i] = (pw[i-1]*p)%mod;
pm[i] = (pm[i-1]*(m-1))%mod;
}
rep(i,1e5+3){
if(i%sz==0){
int ii = i/sz;
dp[ii][0]=1;
rep_a(j,1,i+1){
dp[ii][j] = (dp[ii][j-1]+ncr(i,j)*pw[j])%mod;
}
}
}
int n,k;
rep(i,q){
n = readIntSp(2,1e5);
k = readIntLn(0,n-1);
ll ans = (m*pm[n-1])%mod;
ll curr, currn;
n--;
int t1 = n%sz;
if(t1<=k){
curr = dp[n/sz][k-t1];
currn = n-t1+1;
k = (k-t1+1);
}
else{
curr = 1;
currn = n-k+1;
k = 1;
}
while(currn<=n){
curr = (1+p)*curr+ncr(currn-1,k)*pw[k];
currn++, k++;
curr%=mod;
}
ans*=curr;
ans%=mod;
if(ans<0) ans+=mod;
cout<<ans<<'\n';
}
}
signed main()
{
#ifndef ONLINE_JUDGE
freopen("input.txt", "r" , stdin);
freopen("output.txt", "w" , stdout);
#endif
fast;
int t = 1;
pre();
//t = readIntLn(1,10);
for(int i=1;i<=t;i++)
{
solve();
}
assert(getchar() == -1);
//assert(sum_n<=3e5);
cerr<<"SUCCESS\n";
cerr<<"Tests : " << t << '\n';
cerr<<"Sum of lengths : " << sum_n<<'\n';
//cerr<<"Maximum answer : " << max_n <<'\n';
// // cerr<<"Total operations : " << total_ops << '\n';
// cerr<<"Answered yes : " << yess << '\n';
// cerr<<"Answered no : " << nos << '\n';
cerr << "Time : " << 1000 * ((double)clock()) / (double)CLOCKS_PER_SEC << "ms\n";
}