D Running Miles
USACO Silver
Key Idea
Solution implementation
Solution
#include <bits/stdc++.h>
using namespace std;
//author: von_Braun
#define ll long long
#define lli long long int
#define pb push_back
#define rep(var, start, num) for(ulli var = start; var <start + num; var++)
#define all(x) x.begin(), x.end()
#define ulli unsigned long long int
#define ull unsigned long long
bool sortbysec(const pair<ll,ll> &a,const pair<ll,ll> &b) { return (a.second < b.second); }
// lli computeval(int curval, int curidx, int maxlsum, int maxrsum, int maxlsumidx, int maxrsumidx) {
// lli s = curval + maxlsum + maxrsum;
// return s-1;
// }
void solve() {
ll int n;
cin>>n;
lli a[n];
rep(i,0,n) {cin>>a[i];}
lli lsum[n], rsum[n];
//rsum is a[i] - i
//lsum is a[i] + i
//from center goto right - rsum, goto left - lsum
rep(i,0,n) {
lsum[i] = a[i] + i;
rsum[i] = a[i] - i;
}
lli maxrsum[n], maxlsum[n];
maxrsum[n-1] = rsum[n-1];
maxlsum[0] = lsum[0];
lli maxrsumindex[n], maxlsumindex[n];
maxrsumindex[n-1] = n-1;
for(int i =n-2;i>=0;i--) {
if (rsum[i] >= maxrsum[i+1]) {
maxrsum[i] = rsum[i];
maxrsumindex[i] = i;
} else {
maxrsum[i] = maxrsum[i+1];
maxrsumindex[i] = maxrsumindex[i+1];
}
// maxrsum[i] = max(rsum[i], maxrsum[i+1]);
}
for(int i = 1;i<n;i++) {
if (lsum[i] >= maxlsum[i-1]) {
maxlsum[i] = lsum[i];
maxlsumindex[i] = i;
} else {
maxlsum[i] = maxlsum[i-1];
maxlsumindex[i] = maxlsumindex[i-1];
}
// maxlsum[i] = max(maxlsum[i-1], lsum[i]);
}
lli ans =0 ;
for(int i = 1;i<n-1;i++) {
cout<<a[i]<<" "<<maxlsum[i-1]<<" "<<maxrsum[i+1]<<endl;
ans = max(ans, a[i] + maxlsum[i-1] + maxrsum[i+1]);
}
cout<<ans<<endl;
}
int main() {
//add quotes incase input output file
//freopen(input.txt,r,stdin);
//freopen(output.txt,w,stdout);
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int tc = 1;
cin >> tc;
for (int t = 1; t <= tc; t++) {
solve();
}
}