Submission #231974

# Submission time Handle Problem Language Result Execution time Memory
231974 2020-05-15T14:30:25 Z AM1648 Split the sequence (APIO14_sequence) C++17
100 / 100
1081 ms 81252 KB
/* be name khoda */

// #define long_enable
#include <iostream>
#include <algorithm>
#include <cstring>
#include <numeric>
#include <vector>
#include <fstream>
#include <set>
#include <map>
using namespace std;

#ifdef long_enable
typedef long long int ll;
#else
typedef int ll;
#endif

typedef pair<ll, ll> pii;
typedef pair<pii, ll> ppi;
typedef pair<ll, pii> pip;
typedef vector<ll> vi;
typedef vector<pii> vpii;

#define forifrom(i, s, n) for (ll i = s; i < n; ++i)
#define forirto(i, n, e) for (ll i = (n) - 1; i >= e; --i)
#define fori(i, n) forifrom (i, 0, n)
#define forir(i, n) forirto (i, n, 0)

#define F first
#define S second
#define pb push_back
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define smin(a, b) a = min(a, (b))
#define smax(a, b) a = max(a, (b))

#define debug(x) cout << #x << " -> " << (x) << endl
#define debug2(x, y) cout << #x << ' ' << #y << " -> " << (x) << ' ' << (y) << endl
#define debug3(x, y, z) cout << #x << ' ' << #y << ' ' << #z << " -> " << (x) << ' ' << (y) << ' ' << (z) << endl
#define debug4(x, y, z, t) cout << #x << ' ' << #y << ' ' << #z << ' ' << #t << " -> " << (x) << ' ' << (y) << ' ' << (z) << ' ' << (t) << endl
#define debugp(x) cout << #x << " -> " << "(" << (x).F << ", " << (x).S << ")" << endl
#define debuga(x, n) cout << #x << " -> "; fori (i1_da, n) { cout << (x)[i1_da] << ' '; } cout << endl
#define debugap(x, n) cout << #x << " ->\n"; fori (i1_dap, n) { cout << "(" << (x)[i1_dap].F << ", " << (x)[i1_dap].S << ")\n"; } cout << endl
#define debugaa(x, n, m) cout << #x << " ->\n"; fori (i1_daa, n) { fori (i2_daa, m) { cout << (x)[i1_daa][i2_daa] << ' '; } cout << '\n'; } cout << endl
#define debugav(x, n) cout << #x << " ->\n"; fori (i1_dav, n) { fori (i2_dav, (x)[i1_dav].size()) { cout << (x)[i1_dav][i2_dav] << ' '; } cout << '\n'; } cout << endl
#define debugia(x, n) cout << #x << " ->\n"; fori (i1_dia, n) { cout << i1_dia << " : " << (x)[i1_dia] << '\n'; } cout << endl

const ll MOD = 1000000007;
const ll INF = 2000000000;
const long long BIG = 1446803456761533460LL;

#define Add(a, b) a = ((a) + (b)) % MOD
#define Mul(a, b) a = (1LL * (a) * (b)) % MOD

// -----------------------------------------------------------------------

const ll maxn = 100010;
const ll maxk = 210;

ll n, k, A[maxn], ps[maxn];
long long dp[2][maxn];
ll dpi[maxk][maxn];

void solve(ll l, ll r, ll ul, ll ur, ll j) {
    if (l >= r) return;
    ll mid = (l + r) / 2;
    dp[j & 1][mid] = BIG;
    forifrom (i, ul, ur) {
        long long v = ps[mid] - ps[i];
        if (dp[j & 1 ^ 1][i] + v * v <= dp[j & 1][mid]) {
            dpi[j][mid] = i;
            dp[j & 1][mid] = dp[j & 1 ^ 1][i] + v * v;
        }
    }
    solve(l, mid, ul, dpi[j][mid] + 1, j);
    solve(mid + 1, r, dpi[j][mid], ur, j);
}

int main() {
    ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0);
    // ifstream cin("sequence.in");

    cin >> n >> k;
    fori (i, n) cin >> A[i];
    fori (i, n) ps[i + 1] = ps[i] + A[i];

    fori (i, n) dp[0][i + 1] = 1LL * ps[i + 1] * ps[i + 1];
    fori (j, k) solve(0, n + 1, 0, n + 1, j + 1);
    long long ans = (1LL * ps[n] * ps[n] - dp[k & 1][n]) / 2;
    cout << ans << '\n';
    ll x = n;
    forir (i, k) {
        x = x <= dpi[i + 1][x] ? x - 1 : dpi[i + 1][x];
        cout << x << ' ';
    }
    cout << '\n';

}

Compilation message

sequence.cpp: In function 'void solve(ll, ll, ll, ll, ll)':
sequence.cpp:72:18: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
         if (dp[j & 1 ^ 1][i] + v * v <= dp[j & 1][mid]) {
                ~~^~~
sequence.cpp:74:35: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
             dp[j & 1][mid] = dp[j & 1 ^ 1][i] + v * v;
                                 ~~^~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 4 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 5 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 5 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 5 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 5 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 5 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 4 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 4 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 5 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 5 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 5 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 5 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 5 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 4 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 5 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 640 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 5 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 5 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 5 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 5 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 4 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 4 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 5 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 5 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 7 ms 1280 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 5 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 6 ms 1152 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 1280 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 8 ms 1408 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 640 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 640 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 384 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 12 ms 2176 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 5 ms 384 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 14 ms 2176 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 12 ms 1920 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 14 ms 2304 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 11 ms 2176 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 7 ms 768 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 8 ms 1024 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 7 ms 768 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 768 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 83 ms 9336 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 768 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 66 ms 5752 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 65 ms 6648 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 77 ms 7160 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 56 ms 5880 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 66 ms 6776 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 81 ms 8440 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 27 ms 3840 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 25 ms 3840 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 841 ms 81220 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 25 ms 3840 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1081 ms 81252 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 669 ms 57652 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 816 ms 61688 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 594 ms 50492 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 626 ms 57552 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 820 ms 73200 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845