제출 #1194000

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1194000		trvhung	Split the sequence (APIO14_sequence)	C++20	100 / 100	826 ms	85896 KiB

sequence

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

// using namespace __gnu_pbds;
// using namespace __gnu_cxx;
using namespace std;

// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,popcnt,lzcnt")

// #define   ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
#define            ll long long
#define           ull unsigned long long
#define            ld long double
#define            pb push_back
#define  bit(mask, i) ((mask >> i) & 1)
#define            el '\n'
#define             F first
#define             S second

template <class X, class Y> bool maximize(X &x, const Y &y) { return (x < y ? x = y, 1 : 0); }
template <class X, class Y> bool minimize(X &x, const Y &y) { return (x > y ? x = y, 1 : 0); }

const int INF = 1e9;
const ll LINF = 1e18;
const int MOD = 1e9 + 7;
const int MULTI = 0;
const ld eps = 1e-9;
const int dx[4] = {0, 1, 0, -1}, dy[4] = {1, 0, -1, 0}; // R D L U
const int ddx[4] = {-1, 1, 1, -1}, ddy[4] = {1, 1, -1, -1}; // UR DR DL UL
const char cx[4] = {'R', 'D', 'L', 'U'};
const ll base = 31;
const int nMOD = 2;
const ll mods[] = {(ll)1e9 + 10777, (ll)1e9 + 19777, (ll)1e9 + 3, (ll)1e9 + 3777};

const int N = 1e5 + 5;
const int K = 2e2 + 5;
int n, k, a[N], ptr, tr[N][K];
ll dp[N][2], suf[N];
vector<ll> A, B;
vector<int> id;

#define dp(i, j) dp[i][j & 1]

bool bad(int l1, int l2, int l3) {
	return (B[l3] - B[l1]) * (A[l1] - A[l2]) < (B[l2] - B[l1]) * (A[l1] - A[l3]);
}

void add(ll a, ll b, int i) {
	A.push_back(a);
	B.push_back(b);
	id.push_back(i);

	if ((int) A.size() == 1) return;
	if (A[(int) A.size() - 2] == a) {
		if (a <= A[(int) A.size() - 2]) {
			A.pop_back();
			B.pop_back();
			id.pop_back();
			return;
		}
		A.erase(A.end() - 2);
		B.erase(B.end() - 2);
		id.erase(id.end() - 2);
	}

	while ((int) A.size() >= 3 && bad((int) A.size() - 3, (int) A.size() - 2, (int) A.size() - 1)) {
		A.erase(A.end() - 2);
		B.erase(B.end() - 2);
		id.erase(id.end() - 2);
	}
}

pair<ll, int> query(ll x) {
	if (ptr >= (int) A.size())
		ptr = (int) A.size() - 1;

	while (ptr < (int) A.size() - 1 && A[ptr + 1] * x + B[ptr + 1] > A[ptr] * x + B[ptr])
		++ptr;

	return make_pair(A[ptr] * x + B[ptr], id[ptr]);
}

void solve() {
	cin >> n >> k;
	for (int i = 1; i <= n; ++i)
		cin >> a[i];

	for (int i = n; i >= 1; --i)
		suf[i] = suf[i + 1] + a[i];

	for (int i = 1; i <= n; ++i)
		dp(i, 0) = 0;

	for (int j = 1; j <= k; ++j) {
		A.clear(); B.clear(); id.clear(); 
		ptr = 0;

		for (int i = 1; i <= n; ++i)
			dp(i, j) = -1;
		
		for (int i = n; i > n - j; --i)
			if (dp(i, j - 1) != -1) 
				add(suf[i], dp(i, j - 1) - suf[i] * suf[i], i);

		for (int i = n - j; i >= 1; --i) {
			pair<ll, int> get = query(suf[i]);
			dp(i, j) = get.F; tr[i][j] = get.S;
			if (dp(i, j - 1) != -1)
				add(suf[i], dp(i, j - 1) - suf[i] * suf[i], i);
		}
	}

	vector<int> trace; int u = 1, v = k;
	while (v) trace.push_back(tr[u][v] - 1), u = tr[u][v], v--;

	cout << dp(1, k) << el;
	for (int x: trace) cout << x << ' ';
}

signed main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);

    if (!MULTI) solve();
    else {
        int test; cin >> test;
        while (test--) solve();
    }
    
    return 0;
}

• Subtask 1: 11 / 11
• Subtask 2: 11 / 11
• Subtask 3: 11 / 11
• Subtask 4: 17 / 17
• Subtask 5: 21 / 21
• Subtask 6: 29 / 29