답안 #1009712

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1009712 2024-06-28T00:18:11 Z asdfgrace Bali Sculptures (APIO15_sculpture) C++17
50 / 100
72 ms 604 KB
#include <bits/stdc++.h>
using namespace std;

#define dbg(x) x
#define prt(x) dbg(cerr << x)
#define pv(x) dbg(cerr << #x << " = " << x << '\n')
#define pv2(x) dbg(cerr << #x << " = " << x.first << ',' << x.second << '\n')
#define parr(x) dbg(prt(#x << " = { "); for (auto y : x) prt(y << ' '); prt("}\n");)
#define parr2(x) dbg(prt(#x << " = { "); for (auto [y, z] : x) prt(y << ',' << z << "  "); prt("}\n");)
#define parr2d(x) dbg(prt(#x << ":\n"); for (auto arr : x) {parr(arr);} prt('\n'));
#define parr2d2(x) dbg(prt(#x << ":\n"); for (auto arr : x) {parr2(arr);} prt('\n'));

/*
a <= x <= b subsegments
MINIMIZE bitwise or of sums
either n^2 and a=1 or n^3 and a is maybe not 1

st with a>=1:
can we iterate thru bits
the idea:
given previous restrictions on bits that have to be 0
(others can be 1 & are impossible to make 0)
can we make it good for this
for (i)
for (last i)
if the sum is good
for all dp[last_i][j] that are true, dp[i][j + 1] is true
complexity = n^2 * b * log(s)


st with a==1:
iterate thru sums bc only go up to like 2000
for each num find if you can have or <= num
by doing dp
bc a=1
can just track possible/not and min # of segments needed
at every ind
complexity = n^2 * log(s) ---> was gonna be max_s but turns out log(s) works
can this pass st5
if we binary search the maximum or
or do bit by bit
yeah
*/

int main() {
  ios::sync_with_stdio(0); cin.tie(0);
  int n, a, b;
  cin >> n >> a >> b;
  vector<long long> s(n);
  long long sum = 0;
  for (int i = 0; i < n; i++) {
    cin >> s[i];
    sum += s[i];
  }
  long long p2 = 1ll, mxbit = 0;
  while (p2 < sum) {
    p2 <<= 1; mxbit++;
  }
  long long req = (1ll << (mxbit + 1)) - 1;
  if (a == 1) {
    for (int bit = mxbit; bit >= 0; bit--) {
      req -= (1ll << bit);
      vector<long long> best(n + 1, 1e9);
      best[0] = 0;
      for (int i = 1; i <= n; i++) {
        long long lst = 0;
        for (int j = i - 1; j >= 0; j--) {
          lst += s[j];
          if ((req | lst) == req) {
            best[i] = min(best[i], best[j] + 1);
          }
        }
      }
      if (best[n] > b) {
        req += (1ll << bit);
      }
    }
  } else {
    for (int bit = mxbit; bit >= 0; bit--) {
      req -= (1ll << bit);
      vector<vector<bool>> ok(n + 1, vector<bool>(b, false));
      ok[0][0] = true;
      for (int i = 1; i <= n; i++) {
        long long lst = 0;
        for (int j = i - 1; j >= 0; j--) {
          lst += s[j];
          if ((req | lst) == req) {
            for (int k = 0; k < b; k++) {
              if (ok[j][k]) {
                ok[i][k + 1] = true;
              }
            }
          }
        }
        bool good = false;
        for (int i = a; i <= b; i++) {
          if (ok[n][i]) {
            good =  true;
            break;
          }
        }
        if (!good) {
          req += (1ll << bit);
        }
      }
    }
  }
  cout << req << '\n';
}

/*
any observations help

check every line
IF YOUR LINES AREN'T WRONG
CHECK IF YOUR LINES ARE IN THE RIGHT ORDER

NEVER GIVE UP
*/
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 600 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 456 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Incorrect 0 ms 348 KB Output isn't correct
15 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 452 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Incorrect 0 ms 348 KB Output isn't correct
15 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 452 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 452 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 456 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 344 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 456 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 0 ms 456 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Incorrect 0 ms 348 KB Output isn't correct
15 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 456 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 344 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 344 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 344 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 1 ms 344 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 6 ms 348 KB Output is correct
53 Correct 13 ms 348 KB Output is correct
54 Correct 16 ms 348 KB Output is correct
55 Correct 17 ms 344 KB Output is correct
56 Correct 58 ms 480 KB Output is correct
57 Correct 56 ms 344 KB Output is correct
58 Correct 58 ms 484 KB Output is correct
59 Correct 57 ms 348 KB Output is correct
60 Correct 72 ms 492 KB Output is correct
61 Correct 1 ms 344 KB Output is correct
62 Correct 8 ms 348 KB Output is correct
63 Correct 17 ms 484 KB Output is correct
64 Correct 15 ms 344 KB Output is correct
65 Correct 28 ms 492 KB Output is correct
66 Correct 44 ms 348 KB Output is correct
67 Correct 57 ms 348 KB Output is correct
68 Correct 61 ms 344 KB Output is correct
69 Correct 58 ms 492 KB Output is correct