Submission #863069

#TimeUsernameProblemLanguageResultExecution timeMemory
863069LePhiPhatBigger segments (IZhO19_segments)C++17
27 / 100
1 ms348 KiB
// https://codeforces.com/blog/entry/64479?#comment-484350
#include <iostream>
#include <cstdint>
#include <string>
#include <vector>

using namespace std;

#ifdef DEBUG 
#include "debuge.cpp"
#else
#define debug(...) 42
#endif

typedef            long long ll;
typedef       pair<int, int>  pii;
typedef         pair<ll, ll>  pll;
typedef pair<double, double> pdd;
typedef          vector<int>  vi;
typedef           vector<ll>  vll;
typedef          vector<pii>  vii;

#define                   fi  first
#define                   se  second
#define               all(v)  (v).begin(), (v).end()
#define                SZ(x)  ((int) (x).size())
#define                   pb  push_back
#define                   pf  push_front
#define                   lb  lower_bound
#define                   ub  upper_bound
 
#define         FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define         ROF(i, a, b) for (int i = (a); i > (b); --i)


void LPP(int &test)  {
	int n;
	cin >> n;
	vll a(n + 1), p(n + 1);
	vector<pll> dp(n + 1);      // number of segment - sum
	for (int i = 1; i <= n; i++) cin >> a[i];
	for (int i = 1; i <= n; i++) p[i] = p[i - 1] + a[i];
	// subtask 4 
	dp[0].fi = dp[0].se = 0;
	for (int i = 1; i <= n; i++) {
		dp[i].fi = 0;
		dp[i].se = 1e18;
	}
	auto mx = [&] (pll &l, pll &r) {
		if (l.fi > r.fi) return l;
		if (l.fi < r.fi) return r;
		if (l.se > r.se) return r;
		return l;
	};
	dp[0].fi = dp[0].se = 0;
	for (int i = 0; i < n; i++) {
		if (p[n] - p[i] >= dp[i].se) {
			int lo = i, hi = n + 1;
			while (lo + 1 < hi) {
				int mi = (lo + hi) / 2;
				if (p[mi] - p[i] >= dp[i].se) {
					hi = mi;
				} else {
					lo = mi;
				}
			}
			debug(hi);
			if (hi != n + 1) {
				pll tmp; tmp.fi = dp[i].fi + 1; tmp.se = p[hi] - p[i];
				dp[hi] = mx(dp[hi], tmp);
			}
		}
		if (dp[i].fi > dp[i + 1].fi) {
			dp[i + 1].fi = dp[i].fi;
			dp[i + 1].se = dp[i].se + a[i + 1];
		} else if (dp[i].fi < dp[i + 1].fi) {

		} else {
			dp[i + 1].se = min(dp[i + 1].se, dp[i].se + a[i]);
		}
		debug(i, dp[i]);
	}
	cout << dp[n].fi;
}

int32_t main() {
	cin.tie(0) -> ios::sync_with_stdio(false);
	int tc = 1;
	// cin >> tc;
	for (int i = 1; i <= tc; i++) LPP(i);
}






































/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
#define ordered_set tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update>
*/

Compilation message (stderr)

segments.cpp: In function 'void LPP(int&)':
segments.cpp:12:20: warning: statement has no effect [-Wunused-value]
   12 | #define debug(...) 42
      |                    ^~
segments.cpp:67:4: note: in expansion of macro 'debug'
   67 |    debug(hi);
      |    ^~~~~
segments.cpp:12:20: warning: statement has no effect [-Wunused-value]
   12 | #define debug(...) 42
      |                    ^~
segments.cpp:81:3: note: in expansion of macro 'debug'
   81 |   debug(i, dp[i]);
      |   ^~~~~
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