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- #include <bits/stdc++.h>
- using namespace std;
- #define MAX 100001
- long long dp[MAX],sums[MAX];
- int t,k;
- int main()
- {
- cin >> t >> k;
- for(int i = 1 ; i < k ; i++)
- {
- dp[i] = 1;
- sums[i] = sums[i-1] + dp[i];
- }
- dp[k] = 2;
- sums[k] = sums[k-1] + dp[k];
- for(int i = k+1 ; i < MAX ; i++)
- {
- dp[i] = (dp[i-1] + dp[i-k])%1000000007;
- sums[i] = (sums[i-1] + dp[i])%1000000007;
- }
- while(t--)
- {
- int a,b;
- long long result = 0;
- cin >> a >> b;
- result = (sums[b] - sums[a-1])%1000000007;
- cout << result << endl;
- }
- }
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