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- #include <bits/stdc++.h>
- using namespace std;
- const unsigned int mod=1000000007;
- unsigned int dp[10010][2];
- long long sum[10010];
- long long dist(unsigned int lo,unsigned int hi)
- {
- return sum[hi-1]-sum[lo-1];
- }
- int main()
- {
- ios_base::sync_with_stdio(false);
- cin.tie(0);
- cout.tie(0);
- unsigned int in,d,lo,hi,n,i,j;
- cin>>n>>d;
- for(i=1;i<=n;i++)
- {
- cin>>in;
- sum[i]=sum[i-1];
- sum[i]+=in;
- }
- dp[1][0]=1;
- long long maxdist=dist(1,2);
- for(hi=3;hi<=n+1;hi++)
- {
- for(lo=1;lo<hi;lo++)
- {
- dp[lo][hi%2]=0;
- if(dist(lo,hi)<=d)
- {
- maxdist=max(maxdist,dist(lo,hi));
- if(lo-1>0&&dist(lo-1,hi)<=d)
- {
- dp[lo][hi%2]+=dp[lo-1][hi%2];
- }
- if(hi-1>lo&&dist(lo,hi-1)<=d)
- {
- dp[lo][hi%2]+=dp[lo][(hi-1)%2];
- }
- if(lo-1>0&&dist(lo-1,hi-1)<=d)
- {
- dp[lo][hi%2]+=dp[lo-1][(hi-1)%2];
- }
- dp[lo][hi%2]%=mod;
- }
- }
- }
- cout<<maxdist<<" "<<dp[n][(n+1)%2]%mod;
- }
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