Maalarit

#include <iostream>
#include <algorithm>
#include <set>
using namespace std;

#define F first
#define S second
const int N = 1<<17;

pair<int,int> mint[N<<1];
int p3t[N<<1];

void build_mint() {
  for (int i = N-1; i > 0; --i) {
    if (mint[i*2].F < mint[i*2+1].F || mint[i*2+1].F == 0) {
      mint[i] = mint[i*2];
    } else {
      mint[i] = mint[i*2-1];
    }
  }
}

int mint_find(int a, int b) {
  a += N; b += N;
  int minv = mint[a].F, mini = mint[a].S;
  while (a <= b) {
    if (a&1 && mint[a++].F < minv) {
      minv = mint[a-1].F;
      mini = mint[a-1].S;
    }
    if (!(b&1) && mint[b--].F < minv) {
      minv = mint[b+1].F;
      mini = mint[b+1].S;
    }
    a >>= 1; b >>= 1;
  }
  return mini;
}

void p3t_add(int i) {
  i += N;
  while (i) {
    p3t[i]++;
    i >>= 1;
  }
}

void p3t_decr(int i) {
  i += N;
  while (i) {
    p3t[i]--;
    i >>= 1;
  }
}

int p3t_sum(int i) {
  i += N;
  int a = N;
  int sum = 0;
  while (a <= i) {
    if (a&1) sum += p3t[a++];
    if (!(i&1)) sum += p3t[i--];
    a >>= 1; i >>= 1;
  }
  return sum;
}



int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  int n;
  cin >> n;
  int t[n];
  pair<int, int> s[n];
  for (int i = 0; i < n; ++i) {
    cin >> t[i];
    s[i] = {t[i], i};
    mint[N+i] = {t[i], i};
  }
  build_mint();
  sort(s, s+n, greater<pair<int,int>>());
  int resultA = 0, resultB = 0, result;
  for (int i = 0; i < n; ++i) {
    if (i%2) resultA = max(resultA, t[i]);
    else resultB = max(resultB, t[i]);
  }
  result = resultA + resultB;
  bool m2improves = 0;
  int p1_v = s[0].F, p2_v = 0, p3_v = 0;
  set<int> sp_locs;
  int sp_n_p3[n];
  int msp_loc = s[0].S;
  sp_locs.insert(msp_loc);
  for (int si = 1; si < n/2; ++si) {
    int i = s[si].S, next_v = s[si+1].F;
    if ((i+p3t_sum(i))%2 != (msp_loc+p3t_sum(msp_loc)%2)) {
      set<int>::iterator it = sp_locs.upper_bound(i);
      if (it == sp_locs.end()) {
        it--;
        int psp_loc = *it;
        int p3_loc = mint_find(psp_loc+1, i-1);
        p3_v = max(p3_v, t[p3_loc]);
        sp_locs.insert(i);
        p3t_add(p3_loc);
        p2_v = next_v;
        sp_n_p3[psp_loc] = p3_loc;
      } else if (it == sp_locs.begin()) {
        int nsp_loc = *it;
        int p3_loc = mint_find(i+1, nsp_loc-1);
        p3_v = max(p3_v, t[p3_loc]);
        sp_locs.insert(i);
        p3t_add(p3_loc);
        p2_v = next_v;
        sp_n_p3[i] = p3_loc;
      } else {
        set<int>::iterator bit = it;
        bit--;
        int psp_loc = *bit, nsp_loc = *it;
        int pp3_loc = mint_find(psp_loc+1, i-1),
            np3_loc = mint_find(i+1, nsp_loc-1);
        p3_v = max(t[pp3_loc], t[np3_loc]);
        sp_locs.insert(i);
        if (sp_n_p3[psp_loc] != -1) p3t_decr(sp_n_p3[psp_loc]);
        sp_n_p3[psp_loc] = pp3_loc;
        sp_n_p3[i] = np3_loc;
        p3t_add(pp3_loc); p3t_add(np3_loc);
        p2_v = next_v;
      }
    } else {
      sp_locs.insert(i);
      sp_n_p3[i] = -1;
      p2_v = next_v;
    }
    if (p1_v + p2_v + p3_v < result) {
      m2improves = 1;
      result = p1_v + p2_v + p3_v;
    }
  }
  clog << "Painters: " << p1_v << ' ' << p2_v << ' ' << p3_v << endl;
  if (m2improves) {
    cout << result << " 3" << endl;
    int invs = 0;
    for (int i = 0; i < n; ++i) {
      if (p3t[i+N]) {
        invs++;
        cout << "3 ";
      } else if ((i+invs)%2) cout << "2 "; else cout << "1 ";
    }
  } else {
    cout << resultA+resultB << " 2" << endl;
    for (int i = 0; i < n; ++i) {
      if (i%2) cout << "2 "; else cout << "1 ";
    }
  }
  
}

Test 1

Group: 1

Verdict: ACCEPTED

Painters: 91 54 90

Test 2

Group: 1

Verdict: ACCEPTED

Painters: 96 49 83

Test 3

Group: 1

Verdict: WRONG ANSWER

Painters: 93 30 12

Test 4

Group: 1

Verdict: ACCEPTED

Painters: 95 82 92

Test 5

Group: 1

Verdict: WRONG ANSWER

Painters: 96 40 59

Test 6

Group: 1

Verdict: ACCEPTED

Painters: 1 1 1

Test 7

Group: 2

Verdict: WRONG ANSWER

Painters: 98 49 53

Test 8

Group: 2

Verdict: WRONG ANSWER

Painters: 100 45 67

Test 9

Group: 2

Verdict: WRONG ANSWER

Painters: 100 58 36

Test 10

Group: 2

Verdict: WRONG ANSWER

Painters: 100 49 50

Test 11

Group: 2

Verdict: WRONG ANSWER

Painters: 100 51 53

Test 12

Group: 2

Verdict: ACCEPTED

Painters: 1 1 1

Test 13

Group: 3

Verdict: WRONG ANSWER

Painters: 976733645 448363127 455781607

Test 14

Group: 3

Verdict: WRONG ANSWER

Painters: 987643930 442580608 457617091

Test 15

Group: 3

Verdict: WRONG ANSWER

Painters: 993180779 447834251 456313629

Test 16

Group: 3

Verdict: WRONG ANSWER

Painters: 999253493 523751245 534954029

Test 17

Group: 3

Verdict: WRONG ANSWER

Painters: 994767963 382466527 392679356

Test 18

Group: 3

Verdict: ACCEPTED

Painters: 1 1 1

Test 19

Group: 4

Verdict: WRONG ANSWER

Painters: 999994958 500856402 974742280

Test 20

Group: 4

Verdict: WRONG ANSWER

Painters: 999995191 502345451 502369158

Test 21

Group: 4

Verdict: WRONG ANSWER

Painters: 999994400 501109222 726392161

Test 22

Group: 4

Verdict: WRONG ANSWER

Painters: 999992207 502009181 322905608

Test 23

Group: 4

Verdict: WRONG ANSWER

Painters: 999984896 500179570 482709472

Test 24

Group: 4

Verdict: ACCEPTED

Painters: 1 1 1