Codeforces 474D Flowers

 1 #include<cstdio>
 2 #include<cmath>
 3 #include<algorithm>
 4 #include<cstring>
 5 #include<iostream>
 6 const int Mod=1000000007;
 7 int K,sum[200005],f[200005];
 8 int read(){
 9     int t=0,f=1;char ch=getchar();
10     while (ch<‘0‘||ch>‘9‘){if (ch==‘-‘) f=-1;ch=getchar();}
11     while (‘0‘<=ch&&ch<=‘9‘){t=t*10+ch-‘0‘;ch=getchar();}
12     return t*f;
13 }
14 void init(){
15     f[0]=1;
16     for (int i=1;i<=100000;i++){
17      f[i]=(f[i-1])%Mod;
18      if (i>=K)
19       f[i]=(f[i]+f[i-K])%Mod;
20     }
21     for (int i=1;i<=100000;i++)
22      sum[i]=(sum[i-1]+f[i])%Mod; 
23 }
24 int main(){
25     int T=read();K=read();
26     init();
27     while (T--){
28         int l=read(),r=read();
29         printf("%d\n",((sum[r]-sum[l-1])%Mod+Mod)%Mod);
30     }
31     return 0;
32 }