Submission #1160418

#TimeUsernameProblemLanguageResultExecution timeMemory
1160418akniet0Bigger segments (IZhO19_segments)C++20
0 / 100
0 ms328 KiB
#pragma GCC optimize(2)
#pragma GCC optimize("Ofast")
#pragma GCC optimize("inline","fast-math","unroll-loops","no-stack-protector")
#pragma GCC diagnostic error "-fwhole-program"
#pragma GCC diagnostic error "-fcse-skip-blocks"
#pragma GCC diagnostic error "-funsafe-loop-optimizations"

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>

#define ordered_set tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>
#define len(x) (int)x.size()
#define ull unsigned long long
#define F first
#define S second
#define pb push_back
#define pf push_front
#define popb pop_back
#define popf pop_front
// #define int long long
#define ld long double
#define pii pair<int,int>
#define mii map<int,int>

using namespace std;
using namespace __gnu_pbds;
using ll = long long;

const int N = 5e5 + 5;
const int MOD = 1e9 + 7;
const ll INF = 1e18;
const ll inf = 1e9;

struct str{
	int x;
	ll sum;
} dp[N];

int n,a[N];
ll p[N],t[4*N];

void upd(int p,int val,int v = 1,int tl = 1,int tr = n){
	if (tl == tr){
		t[v] = val;
		return;
	}
	int tm = (tl + tr) >> 1;
	if (p <= tm){
		upd(p, val, v + v, tl, tm);
	}
	else{
		upd(p, val, v + v + 1,tm + 1, tr);
	}
	t[v] = min(t[v + v], t[v + v + 1]);
}

ll get(int l,int r,int v = 1,int tl = 1,int tr = n){
	if (tl > r || tr < l){
		return INF;
	}
	if (tl>=l && tr<=r){
		return t[v];
	}
	int tm = (tl + tr) >> 1;
	return min(get(l,r,v + v,tl,tm),get(l,r,v + v + 1,tm + 1,tr));
}

signed main(){
	// freopen("txt.in", "r", stdin);
	// freopen("txt.out", "w", stdout);
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin >> n;
	for (int i=1;i<=n;i++){
		cin >> a[i];
		p[i] = p[i-1] + a[i];
	}
	dp[1].x = 1;
	dp[1].sum = a[1];
	upd(1, dp[1].sum);
	for (int i=2;i<=n;i++){
		int l = 1;
		int r = i - 1;
		while(l<=r){
			int md = (l + r) >> 1;
			if (get(1, md) <= p[i] - p[md]){
				l = md + 1;
			}
			else{
				r = md - 1;
			}
		}
		if (r == 0){
			dp[i].x = dp[i-1].x;
			dp[i].sum = dp[i-1].sum + a[i];
		}
		else{
			dp[i].x = dp[r].x + 1;
			dp[i].sum = p[i] - p[r];
		}
		upd(i, dp[i].sum);
	}
	// for (int i=1;i<=n;i++){
		// cout << dp[i].sum << ' ';
	// } cout << '\n';
	cout << dp[n].x;
}

//order_of_key(k): Number of items strictly smaller than k .
//find_by_order(k): K-th element in a set (counting from zero).

//sum of squares n*(n+1)*(2n+1)/6
//sum of cubes [n*(n+1)/2]^2
//sum of squares for odds n*(4*n*n-1)/3
//sum of cubes for odds n*n*(2*n*n-1)

//a/b%mod = a*(b^(m-2)%mod)
//(a>>x)&1 == 0
//a^b = (a+b)-2(a&b)

//srand(time(0))-always changing

Compilation message (stderr)

segments.cpp:4:30: warning: '-fwhole-program' is not an option that controls warnings [-Wpragmas]
    4 | #pragma GCC diagnostic error "-fwhole-program"
      |                              ^~~~~~~~~~~~~~~~~
segments.cpp:5:30: warning: '-fcse-skip-blocks' is not an option that controls warnings [-Wpragmas]
    5 | #pragma GCC diagnostic error "-fcse-skip-blocks"
      |                              ^~~~~~~~~~~~~~~~~~~
segments.cpp:6:30: warning: '-funsafe-loop-optimizations' is not an option that controls warnings [-Wpragmas]
    6 | #pragma GCC diagnostic error "-funsafe-loop-optimizations"
      |                              ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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