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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#520851#7605. Yet Another Mex ProblemliuziaoWA 8ms46880kbC++144.1kb2024-08-15 16:33:262024-08-15 16:33:26

Judging History

你现在查看的是最新测评结果

  • [2024-08-15 16:33:26]
  • 评测
  • 测评结果:WA
  • 用时:8ms
  • 内存:46880kb
  • [2024-08-15 16:33:26]
  • 提交

answer

#include <bits/stdc++.h>

#define int int64_t

using pii = std::pair<int, int>;

const int kMaxN = 2e5 + 5;

int n, k;
int a[kMaxN], sum[kMaxN], f[kMaxN];

pii sub(pii a, pii b) { return {a.first - b.first, a.second - b.second}; }
int mul(pii a, pii b) { return a.first * b.second - a.second * b.first; }
int func(pii a, int k) { return a.first * k + a.second; }

struct SGT1 {
  int mi[kMaxN * 4];

  void pushup(int x) { mi[x] = std::min(mi[x << 1], mi[x << 1 | 1]); }

  void update(int x, int l, int r, int ql, int v) {
    if (l == r) return void(mi[x] = v);
    int mid = (l + r) >> 1;
    if (ql <= mid)
      update(x << 1, l, mid, ql, v);
    else
      update(x << 1 | 1, mid + 1, r, ql, v);
    pushup(x);
  }

  int getmex(int x, int l, int r, int ql) {
    assert(mi[x] < ql);
    if (l == r) return l;
    int mid = (l + r) >> 1;
    if (mi[x << 1] < ql)
      return getmex(x << 1, l, mid, ql);
    else
      return getmex(x << 1 | 1, mid + 1, r, ql);
  }

  int query(int x, int l, int r, int ql, int qr) {
    if (l > qr || r < ql)
      return 1e9;
    else if (l >= ql && r <= qr)
      return mi[x];
    int mid = (l + r) >> 1;
    return std::min(query(x << 1, l, mid, ql, qr),
                    query(x << 1 | 1, mid + 1, r, ql, qr));
  }
} sgt1;

struct SGT2 {  // f[l] - mex * sum[l]
  // (sum[l], f[l]) 上凸壳

  std::vector<pii> v[kMaxN * 4];

  void ins(int x, pii p) {
    // if (!v[x].empty() && p <= v[x].back()) return;
    // for (;
    //      v[x].size() >= 2 &&
    //      mul(sub(p, v[x].back()), sub(v[x].back(), v[x][v[x].size() - 2])) <= 0;
    //      v[x].pop_back()) {
    // }
    v[x].emplace_back(p);
  }

  int getmax(int x, int k) {
    if (!v[x].size()) return -1e18;
    // int L = 0, R = v[x].size(), res = 0;
    // while (L + 1 < R) {
    //   int mid = (L + R) >> 1;
    //   if (func(v[x][mid], k) >= func(v[x][mid - 1], k))
    //     L = res = mid;
    //   else
    //     R = mid;
    // }
    // return func(v[x][res], k);
    int ret = -1e18;
    for (auto p : v[x]) ret = std::max(ret, func(p, k));
    return ret;
  }

  void update(int x, int l, int r, int ql, pii p) {
    ins(x, p);
    if (l == r) return;
    int mid = (l + r) >> 1;
    if (ql <= mid)
      update(x << 1, l, mid, ql, p);
    else
      update(x << 1 | 1, mid + 1, r, ql, p);
  }

  int query(int x, int l, int r, int ql, int qr, int k) {
    if (l > qr || r < ql)
      return -1e18;
    else if (l >= ql && r <= qr)
      return getmax(x, k);
    int mid = (l + r) >> 1;
    return std::max(query(x << 1, l, mid, ql, qr, k),
                    query(x << 1 | 1, mid + 1, r, ql, qr, k));
  }
} sgt2, sgt3;

void dickdreamer() {
  std::cin >> n >> k;
  for (int i = 1; i <= n; ++i) {
    std::cin >> a[i];
    sum[i] = sum[i - 1] + a[i];
  }
  sgt2.update(1, 0, n, 0, {0, 0}), sgt3.update(1, 0, n, 0, {0, 0});
  for (int i = 1; i <= n; ++i) {
    int l = sgt1.query(1, 0, n, 0, a[i]) + 1,
        r = (a[i] ? sgt1.query(1, 0, n, 0, a[i] - 1) : i);
    sgt1.update(1, 0, n, a[i], i);
    // std::cerr << i << " : ---------\n";
    for (; l <= r;) {
      int mex = sgt1.getmex(1, 0, n, r), t = sgt1.query(1, 0, n, 0, mex);
      int val = sgt2.query(1, 0, n, t, r - 1, -mex);
      sgt3.update(1, 0, n, t, {mex, val});
      r = t;
    }
    l = std::max<int>(i - k + 1, 1);
    int mex = sgt1.getmex(1, 0, n, l);
    r = (mex ? sgt1.query(1, 0, n, 0, mex - 1) : i);
    assert(l <= r);
    f[i] = std::max(sgt3.query(1, 0, n, l - 1, i - 1, sum[i]),
                    sgt2.query(1, 0, n, l - 1, r - 1, -mex) + sum[i] * mex);
    sgt2.update(1, 0, n, i, {sum[i], f[i]});
    if (a[i]) sgt3.update(1, 0, n, i, {0, f[i]});
    // std::cerr << i << ' ' << f[i] << '\n';
  }
  std::cout << f[n] << '\n';
}

int32_t main() {
#ifdef ORZXKR
  freopen("in.txt", "r", stdin);
  freopen("out.txt", "w", stdout);
#endif
  std::ios::sync_with_stdio(0), std::cin.tie(0), std::cout.tie(0);
  int T = 1;
  // std::cin >> T;
  while (T--) dickdreamer();
  // std::cerr << 1.0 * clock() / CLOCKS_PER_SEC << "s\n";
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 46576kb

input:

5 3
3 4 0 0 3

output:

10

result:

ok 1 number(s): "10"

Test #2:

score: 0
Accepted
time: 7ms
memory: 44204kb

input:

8 4
0 1 2 0 3 1 4 1

output:

26

result:

ok 1 number(s): "26"

Test #3:

score: 0
Accepted
time: 7ms
memory: 44436kb

input:

10 5
0 2 0 1 2 1 0 2 2 1

output:

33

result:

ok 1 number(s): "33"

Test #4:

score: 0
Accepted
time: 8ms
memory: 46848kb

input:

20 10
3 1 3 2 3 3 0 1 3 0 2 3 3 3 3 1 3 0 0 3

output:

160

result:

ok 1 number(s): "160"

Test #5:

score: 0
Accepted
time: 0ms
memory: 45500kb

input:

30 10
14 15 10 1 14 1 8 0 12 8 6 15 1 8 9 12 15 10 11 12 7 10 10 3 3 10 8 14 13 13

output:

172

result:

ok 1 number(s): "172"

Test #6:

score: 0
Accepted
time: 0ms
memory: 46576kb

input:

40 3
0 4 2 4 3 1 5 5 2 3 4 2 1 1 1 5 5 4 1 3 3 0 1 0 2 0 1 4 2 1 5 3 0 4 0 0 0 5 3 3

output:

51

result:

ok 1 number(s): "51"

Test #7:

score: 0
Accepted
time: 4ms
memory: 46880kb

input:

50 20
29 6 30 26 8 11 22 26 24 8 30 25 19 12 28 19 28 4 13 9 2 23 30 15 21 5 30 5 19 17 25 29 2 28 20 16 0 4 26 23 22 30 3 25 29 5 29 24 11 27

output:

378

result:

ok 1 number(s): "378"

Test #8:

score: 0
Accepted
time: 4ms
memory: 44028kb

input:

80 15
2 13 20 11 12 10 19 17 3 7 10 2 14 11 9 17 19 11 17 15 10 18 11 11 14 5 20 8 8 12 13 17 14 19 11 20 13 2 12 2 19 12 6 7 3 4 11 16 1 12 4 16 17 4 1 2 5 11 17 12 13 7 8 12 2 4 15 20 18 1 1 13 1 14 6 5 20 12 12 11

output:

0

result:

ok 1 number(s): "0"

Test #9:

score: -100
Wrong Answer
time: 4ms
memory: 45548kb

input:

100 30
41 50 33 22 1 34 7 14 31 44 46 49 49 23 33 12 9 41 25 23 22 1 49 45 45 8 10 49 37 23 48 17 32 44 38 21 29 27 23 27 47 44 6 12 7 2 18 12 9 43 20 26 26 8 14 25 18 48 2 41 49 7 48 38 10 45 34 27 17 12 1 19 9 29 50 13 25 21 9 13 26 15 6 9 5 13 47 30 26 17 40 0 21 6 25 24 22 31 43 16

output:

1254

result:

wrong answer 1st numbers differ - expected: '1308', found: '1254'