This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#include <utility>
#include <algorithm>
#include <unordered_map>
const int BULAN = 50;
int x;
int arr[500005];
int64_t pfx[500005];
std::unordered_map<int64_t,std::unordered_map<int,int>> memo;
inline int64_t sum_query(int l, int r) {
return pfx[r] - pfx[l-1];
}
int solve(int64_t cap, int pos = x) {
if (memo.count(cap)&&memo[cap].count(pos)) {
return memo[cap][pos];
}
if (pos==0) {
return 0;
}
if (arr[pos]>cap) {
return -0x3f3f3f3f;
}
int i = pos+1;
int64_t sum = 0;
int ret = -0x3f3f3f3f;
int cnt = 0;
while (i-1>=1&&sum+arr[i-1]<=cap) {
--i;
sum += arr[i];
++cnt;
if (cnt<=BULAN) {
ret = std::max(ret,1+solve(sum,i-1));
}
}
ret = std::max(ret,1+solve(sum,i-1));
return memo[cap][pos] = ret;
}
int main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(NULL);
std::cout.tie(NULL);
std::cin >> x;
for (int i = 1; i <= x; i++) {
std::cin >> arr[i];
pfx[i] = pfx[i-1] + arr[i];
}
/*for (int cap = 1; cap <= 50; cap++) {
std::cout << cap << " " << solve(cap) << "\n";
}*/
const auto bs = [&]() {
int ret = 1;
int64_t l = 1, r = 1000000000000000000;
while (l<=r) {
int64_t m = (l+r)/2;
int tmp = solve(m);
if (tmp!=-0x3f3f3f3f) {
ret = std::max(ret,tmp);
r = m-1;
}
else {
l = m+1;
}
}
return ret;
};
std::cout << bs() << "\n";
}
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