Submission #1102172

#TimeUsernameProblemLanguageResultExecution timeMemory
1102172SP_CaramenSequence (BOI14_sequence)C++14
0 / 100
1 ms4692 KiB
#include <bits/stdc++.h> #define FOR(i, x, y) for (int i = x; i < y; i++) typedef long long ll; using namespace std; int n, k; int where[201][100001]; ll pref[100001]{0}, dp[2][100001], q[100001], l = 1, r = 1; bool case1(int x, int y, int i) { return (dp[0][y] - dp[0][x] >= (pref[y] - pref[x]) * (pref[n] - pref[i])); } bool case2(int x, int y, int i) { return ((dp[0][y] - dp[0][x]) * (pref[i] - pref[y]) <= (dp[0][i] - dp[0][y]) * (pref[y] - pref[x])); } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> n >> k; FOR(i, 1, n + 1) { int x; cin >> x; pref[i] = pref[i - 1] + x; } fill(dp[0], dp[0] + n + 1, 0); FOR(i, 1, k + 1) { q[r++] = 0; FOR(j, 1, n + 1) { while (r - l > 1 && case1(q[l], q[l + 1], j)) l++; ll x = q[l]; dp[1][j] = dp[0][x] + (pref[j] - pref[x]) * (pref[n] - pref[j]); where[i][j] = x; while (r - l > 1 && case2(q[r - 2], q[r - 1], j)) r--; q[r++] = j; } l = r = 1; FOR(j, 1, n + 1) dp[0][j] = dp[1][j]; } ll mx = -1; int indx = -1; FOR(i, 1, n + 1) { if (dp[0][i] > mx) mx = dp[0][i], indx = i; } cout << mx << '\n'; FOR(i, 0, k) { cout << indx << ' '; indx = where[k - i][indx]; } cout << '\n'; return 0; }
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