// © Urvish Patel
#include<bits/stdc++.h>
using namespace std;
#define fast ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
#define ll long long int
#define endll "\n"
#define f(var,srt,ed) for(int var=srt;var<ed;var++)
#define rf(var,srt,ed) for(int var=srt;var>ed;var--)
#define fe(var,cont) for(auto &var:cont)
#define pb push_back
#define begin begin()
#define end end()
#define gcd(a,b) __gcd(a,b)
#define lcm(a,b) ((a*b)/(__gcd(a,b)))
#define YES(x) cout<<"YES"<<x
#define NO(x) cout<<"NO"<<x
ll dp[(int)1e5+2][4];
//0 none, 1 left, 2 right, 3 both
void solve()
{
int n,q,k;
cin>>n>>q>>k;
int arr[n];
f(i,0,n)
cin>>arr[i];
f(i,0,n)
{
int left,right;
if(i==0)
{
left=0;
right=arr[i+1];
dp[i][0]=k-1;
dp[i][1]=k-left-1;
dp[i][2]=right-2;
dp[i][3]=right-left-2;
}
else if(i==n-1)
{
right=0;
left=arr[i-1];
dp[i][0]=k-1;
dp[i][1]=k-left-1;
dp[i][2]=right-2;
dp[i][3]=right-left-2+dp[i-1][3];
}
else
{
left=arr[i-1];
right=arr[i+1];
dp[i][0]=k-1;
dp[i][1]=k-left-1;
dp[i][2]=right-2;
dp[i][3]=right-left-2+dp[i-1][3];
}
}
// f(i,0,n)
// {
// f(j,0,4)
// cout<<dp[i][j]<<" ";
// cout<<endl;
// }
while(q--)
{
int l,r;
cin>>l>>r;
int answer=0;
if(l==r)
{
answer+=dp[l-1][0];
}
else if(r==l+1)
{
answer+=dp[l-1][2];
answer+=dp[r-1][1];
}
else
{
answer+=dp[l-1][2];
answer+=dp[r-1][1];
answer+=dp[r-2][3]-dp[l-1][3];
}
cout<<answer<<endl;
}
}
int main()
{
fast
int t=1;
//cin>>t;
f(_,0,t)
{
//cout<<"Case #"<<_<<": ";
solve();
}
return 0;
}
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