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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#470495#8050. Random Permutation0x3b800001TL 1134ms70036kbC++143.3kb2024-07-10 14:23:412024-07-10 14:23:41

Judging History

你现在查看的是最新测评结果

  • [2024-07-10 14:23:41]
  • 评测
  • 测评结果:TL
  • 用时:1134ms
  • 内存:70036kb
  • [2024-07-10 14:23:41]
  • 提交

answer

#include <iostream>
#include <vector>

struct S {
  int min, max;
  S(int in = +0x3b9aca00, int ax = -0x3b9aca00) { min = in, max = ax; }
};
using F = int;
S e() { return S(); }
S op(S lhs, S rhs) { return S(std::min(lhs.min, rhs.min), std::max(lhs.max, rhs.max)); }
S mapping(F f, S x) { return S(x.min + f, x.max + f); }
F composition(F lhs, F rhs) { return lhs + rhs; }
F id() { return 0; }

S t[8000007];
F lazy[8000007];
void set(int p, F f) {
  t[p] = mapping(f, t[p]);
  lazy[p] = composition(lazy[p], f);
}
void pushdown(int p) {
  set(p << 1, lazy[p]), set(p << 1 | 1, lazy[p]);
  lazy[p] = id();
}
void pushup(int p) { t[p] = op(t[p << 1], t[p << 1 | 1]); }
void build(int p, int l, int r) {
  int mid = (l + r) >> 1;
  if (l == r) {
    t[p] = S(mid, mid);
    return;
  }
  build(p << 1, l, mid), build(p << 1 | 1, mid + 1, r);
  pushup(p);
}
void modify(int p, int l, int r, int ql, int qr, F f) {
  if (ql <= l && r <= qr) {
    set(p, f);
    return;
  }
  pushdown(p);
  int mid = (l + r) >> 1;
  if (ql <= mid) {
    modify(p << 1, l, mid, ql, qr, f);
  }
  if (qr > mid) {
    modify(p << 1 | 1, mid + 1, r, ql, qr, f);
  }
  pushup(p);
}
S query(int p, int l, int r, int ql, int qr) {
  if (ql <= l && r <= qr) {
    return t[p];
  }
  pushdown(p);
  S ans = e();
  int mid = (l + r) >> 1;
  if (ql <= mid) {
    ans = op(query(p << 1, l, mid, ql, qr), ans);
  }
  if (qr > mid) {
    ans = op(ans, query(p << 1 | 1, mid + 1, r, ql, qr));
  }
  return ans;
}
void dfs(int p, int l, int r, int ql, int qr, std::vector<int>& c, S f) {
  int mid = (l + r) >> 1;
  if (ql <= l && r <= qr) {
    if (t[p].max < f.min || t[p].min > f.max) {
      return;
    }
    if (l == r) {
      ++c[t[p].min - f.min];
      return;
    }
    pushdown(p);
    dfs(p << 1, l, mid, ql, qr, c, f);
    dfs(p << 1 | 1, mid + 1, r, ql, qr, c, f);
    return;
  }
  pushdown(p);
  if (ql <= mid) {
    dfs(p << 1, l, mid, ql, qr, c, f);
  }
  if (qr > mid) {
    dfs(p << 1 | 1, mid + 1, r, ql, qr, c, f);
  }
}


int n, p[2000007], q[2000007];

int main() {
  std::cin.tie(nullptr)->sync_with_stdio(false);
  std::cin >> n;
  for (int i = 1; i <= n; ++i) {
    std::cin >> p[i];
    q[p[i]] = i;
  }
  build(1, 0, n);
  long long ans = 0;
  for (int i = 1; i <= n; ++i) {
    if (i != 1) {
      modify(1, 0, n, q[i - 1], n, -1);
    }
    modify(1, 0, n, q[i], n, -1);
    auto L = query(1, 0, n, 0, q[i] - 1);
    auto R = query(1, 0, n, q[i], n);
    S And(std::max(L.min, R.min), std::min(L.max, R.max));
    if (And.min <= And.max) {
      std::vector<int> cl(And.max - And.min + 1), cr(And.max - And.min + 1);
      dfs(1, 0, n, 0, q[i] - 1, cl, And);
      dfs(1, 0, n, q[i], n, cr, And);
      for (int j = 0; j <= And.max - And.min; ++j) {
        ans += 1LL * cl[j] * cr[j] * i;
      }
    }
    And = S(std::max(L.min, R.min - 1), std::min(L.max, R.max - 1));
    if (And.min <= And.max) {
      std::vector<int> cl(And.max - And.min + 1), cr(And.max - And.min + 1);
      dfs(1, 0, n, 0, q[i] - 1, cl, And);
      dfs(1, 0, n, q[i], n, cr, S(And.min + 1, And.max + 1));
      for (int j = 0; j <= And.max - And.min; ++j) {
        ans += 1LL * cl[j] * cr[j] * i;
      }
    }
  }
  std::cout << ans << '\n';
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 68664kb

input:

4
1 4 2 3

output:

22

result:

ok 1 number(s): "22"

Test #2:

score: 0
Accepted
time: 1134ms
memory: 70036kb

input:

100000
56449 21738 74917 44834 36187 96576 37204 28451 3444 13029 66039 8955 51445 30706 27229 37159 66052 16691 70389 29935 44984 3648 75082 73600 76621 28345 5298 37940 49412 85260 92029 18185 84398 10233 79227 98312 96649 30680 65206 38879 75397 26951 11294 58085 37297 97167 59252 44104 4058 3796...

output:

250202478701074

result:

ok 1 number(s): "250202478701074"

Test #3:

score: -100
Time Limit Exceeded

input:

200000
70900 189146 39056 135530 191967 133789 108558 81993 132081 113826 54456 127761 27836 64897 87159 105191 109446 81230 75525 90396 75756 50200 43091 151358 100791 193998 157161 119352 176873 120724 134471 155040 138534 182263 161855 4577 124893 199710 60764 146460 75314 43696 129155 64816 1390...

output:


result: