QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#444812#8527. Power Divisionsucup-team1198#WA 1130ms74224kbC++204.9kb2024-06-15 21:28:562024-06-15 21:28:57

Judging History

你现在查看的是最新测评结果

  • [2024-06-15 21:28:57]
  • 评测
  • 测评结果:WA
  • 用时:1130ms
  • 内存:74224kb
  • [2024-06-15 21:28:56]
  • 提交

answer

#include <map>
#include <set>
#include <array>
#include <cmath>
#include <deque>
#include <bitset>
#include <random>
#include <string>
#include <vector>
#include <cassert>
#include <complex>
#include <iomanip>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#include <unordered_set>

using namespace std;

const int MOD = 1e9 + 7;

int add(int a, int b) {
  if (a + b < MOD)
    return a + b;
  return a + b - MOD;
}

int sub(int a, int b) {
  if (a >= b)
    return a - b;
  return a + MOD - b;
}

int mul(int a, int b) {
  return a * 1ll * b % MOD;
}

const int BASE = 2;
const int MAXN = (1 << 20) + 228;

int BASEPOW[MAXN];
int POWSUM[MAXN];

vector<int> from[MAXN];

int vals[MAXN];

int cur_hash = 0;
int cur_mn = -1;
int cur_mx = -1;
int inv_hash = 0;

vector<int> upds;

void add_bit(int i) {
  //cerr << "add_bit " << i << ' ';
  if (cur_mn == -1) {
    upds.emplace_back(i);
    vals[i] = 1;
    cur_mn = i;
    cur_mx = i;
    cur_hash = BASEPOW[i];
    inv_hash = BASEPOW[i];
  } else {
    inv_hash = sub(inv_hash, BASEPOW[cur_mn]);
    int l = i;
    while (vals[l] != 0) {
      upds.emplace_back(l);
      vals[l] ^= 1;
      cur_hash = sub(cur_hash, BASEPOW[l]);
      if (i != cur_mn)
        inv_hash = add(inv_hash, BASEPOW[l]);
      ++l;
    }
    vals[l] ^= 1;
    upds.emplace_back(l);
    cur_hash = add(cur_hash, BASEPOW[l]);
    if (l > cur_mx) {
      if (l == i) {
        inv_hash = add(inv_hash, sub(POWSUM[i], POWSUM[cur_mx + 1]));
      }
      cur_mx = l;
    } else {
      inv_hash = sub(inv_hash, BASEPOW[l]);
    }
    if (i == cur_mn) {
      cur_mn = l;
    } else if (i < cur_mn) {
      inv_hash = add(inv_hash, sub(POWSUM[cur_mn], POWSUM[i]));
      cur_mn = i;
    }
    inv_hash = add(inv_hash, BASEPOW[cur_mn]);
  }
  /*cerr << "\nhave: ";
  for (int j = 0; j < 15; ++j)
    cerr << ((cur_hash >> j) & 1);
  cerr << "\nneed: ";
  for (int j = 0; j < 15; ++j)
    cerr << ((inv_hash >> j) & 1);
  cerr << '\n';*/
}

void clear() {
  for (int i : upds)
    vals[i] = 0;
  upds.clear();
  cur_mn = -1;
  cur_mx = -1;
  cur_hash = 0;
  inv_hash = 0;

  //cerr << "cleared\n";
}

int A[MAXN];

void go_down(int left, int right) {
  if (left + 1 == right)
    return;
  int mid = (left + right) / 2;
  go_down(left, mid);
  go_down(mid, right);
  vector<pair<int, int>> hashes(right - left);
  clear();
  for (int i = mid - 1; i >= left; --i) {
    add_bit(A[i]);
    hashes[i - left] = make_pair(cur_hash, inv_hash);
  }
  clear();
  map<int, int> id;
  for (int i = mid; i < right; ++i) {
    add_bit(A[i]);
    hashes[i - left] = make_pair(cur_hash, inv_hash);
    id[cur_hash] = i;
  }
  for (int i = mid - 1; i >= left; --i) {
    int need = hashes[i - left].second;
    if (id.count(need)) {
      //cout << left << ' ' << mid << ' ' << right << ' ' << i << " - " << id[need] << ' ' << hashes[i - left].second << ',' << hashes[i - left].first << '\n';
      from[id[need] + 1].emplace_back(i);
    }
  }
  id.clear();
  for (int i = mid - 1; i >= left; --i) {
    id[hashes[i - left].first] = i;
  }
  for (int i = mid; i < right; ++i) {
    int need = hashes[i - left].second;
    if (id.count(need)) {
      //cout << left << ' ' << mid << ' ' << right << ' ' << id[need] << " - " << i << ' ' << hashes[i - left].second << ',' << hashes[i - left].first << '\n';
      from[i + 1].emplace_back(id[need]);
    }
  }
}

bool is_2pow(long long x) {
  while (x != 1) {
    if (x & 1)
      return false;
    x >>= 1;
  }
  return x == 1;
}


int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);

  BASEPOW[0] = 1;
  for (int i = 1; i < MAXN; ++i)
    BASEPOW[i] = mul(BASEPOW[i - 1], BASE);
  POWSUM[0] = 0;
  for (int i = 1; i < MAXN; ++i)
    POWSUM[i] = add(POWSUM[i - 1], BASEPOW[i - 1]);

  int n;
  cin >> n;
  for (int i = 0; i < n; ++i)
    cin >> A[i];

  go_down(0, n);
  for (int i = 0; i < n; ++i) {
    from[i + 1].emplace_back(i);
  }

  vector<int> dp(n + 1);
  dp[0] = 1;
  for (int i = 1; i <= n; ++i) {
    sort(from[i].begin(), from[i].end());
    from[i].resize(unique(from[i].begin(), from[i].end()) - from[i].begin());
    for (int j : from[i]) {
      //cout << j << ',' << i << '\n';
      dp[i] = add(dp[i], dp[j]);
    }
    /*vector<int> should;
    long long sum = 0;
    for (int j = i - 1; j >= 0; --j) {
      sum += 1ll << A[j];
      if (is_2pow(sum))
        should.emplace_back(j);
    }
    reverse(should.begin(), should.end());
    if (from[i] != should) {
      cerr << i << '\n';
      for (int x : from[i])
        cerr << x << ' ';
      cerr << '\n';
    for (int x : should)
        cerr << x << ' ';
      cerr << '\n';
      for (int j = should[0]; j < i; ++j)
        cerr << A[j] << ' ';
      cerr << '\n';
    }

    assert(should == from[i]);*/
  }
  cout << dp[n] << '\n';

  return 0;
}

详细

Test #1:

score: 100
Accepted
time: 5ms
memory: 12416kb

input:

5
2 0 0 1 1

output:

6

result:

ok 1 number(s): "6"

Test #2:

score: 0
Accepted
time: 8ms
memory: 13116kb

input:

1
0

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 8ms
memory: 12552kb

input:

2
1 1

output:

2

result:

ok 1 number(s): "2"

Test #4:

score: 0
Accepted
time: 0ms
memory: 12708kb

input:

3
2 1 1

output:

3

result:

ok 1 number(s): "3"

Test #5:

score: 0
Accepted
time: 2ms
memory: 12092kb

input:

4
3 2 2 3

output:

4

result:

ok 1 number(s): "4"

Test #6:

score: 0
Accepted
time: 5ms
memory: 12928kb

input:

5
3 4 4 2 4

output:

2

result:

ok 1 number(s): "2"

Test #7:

score: 0
Accepted
time: 5ms
memory: 12412kb

input:

7
3 4 3 5 6 3 4

output:

6

result:

ok 1 number(s): "6"

Test #8:

score: 0
Accepted
time: 8ms
memory: 13300kb

input:

10
8 6 5 6 7 8 6 8 9 9

output:

4

result:

ok 1 number(s): "4"

Test #9:

score: 0
Accepted
time: 8ms
memory: 12188kb

input:

96
5 1 0 2 5 5 2 4 2 4 4 2 3 4 0 2 1 4 3 1 2 0 2 2 3 2 4 5 3 5 2 0 2 2 5 3 0 4 5 3 5 4 4 3 1 2 0 5 4 5 0 2 3 2 4 0 0 4 2 0 2 5 3 3 1 5 5 1 1 1 0 5 0 3 0 2 1 1 0 5 0 3 3 4 4 5 3 0 2 2 0 5 4 5 0 5

output:

11332014

result:

ok 1 number(s): "11332014"

Test #10:

score: 0
Accepted
time: 9ms
memory: 13232kb

input:

480
2 0 4 4 1 0 0 3 1 1 4 2 5 5 4 2 1 2 4 4 1 3 4 3 0 5 2 0 2 5 1 0 5 0 0 5 5 0 2 5 2 2 3 1 4 3 5 4 5 2 4 4 4 4 1 4 0 3 4 3 4 1 0 4 3 4 5 4 3 5 0 2 2 0 1 5 4 4 2 0 3 3 3 4 3 0 5 5 3 1 5 1 0 1 0 4 3 0 5 1 4 1 4 3 0 1 3 5 0 3 3 1 0 4 1 1 2 0 1 2 0 3 5 2 0 5 5 5 5 3 5 1 0 2 5 2 2 0 2 0 2 3 5 1 2 1 5 4 ...

output:

506782981

result:

ok 1 number(s): "506782981"

Test #11:

score: 0
Accepted
time: 10ms
memory: 12604kb

input:

2400
0 2 2 0 5 4 3 2 3 2 5 4 5 4 4 5 2 2 4 2 2 0 1 0 5 0 4 4 0 0 5 0 4 0 1 3 4 5 0 3 1 0 4 0 2 5 0 3 3 3 3 1 0 5 5 3 1 3 5 2 4 0 5 0 4 5 4 2 2 1 5 2 2 4 1 0 5 1 5 0 1 2 0 0 3 5 4 0 0 1 1 1 4 2 0 5 1 3 3 5 0 4 4 1 5 5 3 4 4 4 0 2 4 0 5 1 3 1 5 0 5 5 1 3 0 3 1 2 0 1 1 3 5 2 3 4 0 3 0 5 4 0 4 3 5 0 5 2...

output:

586570528

result:

ok 1 number(s): "586570528"

Test #12:

score: 0
Accepted
time: 20ms
memory: 13660kb

input:

12000
2 2 1 2 0 2 5 3 2 0 1 3 2 5 4 0 0 5 3 2 0 2 3 4 3 2 1 4 3 0 3 5 4 1 0 2 4 1 3 2 3 5 0 3 0 0 4 0 4 5 1 0 4 1 1 1 5 4 3 0 3 5 4 5 2 5 0 1 2 3 5 5 2 5 4 2 0 4 4 3 0 0 2 5 0 3 4 2 5 4 2 1 4 5 1 1 2 3 0 3 3 3 3 4 0 5 3 4 0 3 0 2 0 0 2 0 3 4 2 2 0 1 0 5 3 0 2 0 2 2 1 0 5 3 5 4 5 5 0 4 0 4 1 4 4 3 2 ...

output:

201653965

result:

ok 1 number(s): "201653965"

Test #13:

score: 0
Accepted
time: 106ms
memory: 20532kb

input:

60000
2 5 0 3 2 3 5 3 5 5 4 1 1 5 3 0 1 1 2 5 5 5 0 3 2 0 3 2 3 3 0 0 1 4 3 1 4 2 3 3 0 5 1 0 1 1 5 5 4 0 5 4 1 3 1 3 5 3 2 4 4 4 5 4 3 2 3 2 4 5 2 0 4 5 1 2 0 4 0 5 1 3 4 1 2 4 1 1 3 3 0 1 1 3 0 0 2 3 3 2 1 4 1 2 4 3 3 5 2 5 3 4 3 0 2 1 1 1 5 1 2 4 2 3 1 2 1 0 2 0 1 1 5 5 3 4 2 5 2 4 5 3 0 5 1 4 2 ...

output:

592751350

result:

ok 1 number(s): "592751350"

Test #14:

score: 0
Accepted
time: 629ms
memory: 39628kb

input:

300000
0 5 1 5 5 4 5 3 0 5 0 5 1 4 1 2 2 2 3 0 1 5 4 0 3 1 4 5 2 1 0 3 2 1 2 5 0 2 4 5 0 1 2 1 1 0 0 5 3 0 0 3 4 5 0 2 1 1 1 2 5 1 4 3 1 0 2 0 0 4 3 3 2 5 3 3 1 5 2 0 2 4 3 1 0 3 4 1 3 3 1 0 0 1 1 1 3 1 2 3 5 3 3 2 0 3 0 0 5 5 0 0 0 0 1 4 3 3 4 3 4 5 3 3 5 1 1 4 2 2 1 3 2 1 1 0 0 5 5 0 0 3 2 4 5 5 2...

output:

842503795

result:

ok 1 number(s): "842503795"

Test #15:

score: 0
Accepted
time: 801ms
memory: 74008kb

input:

300000
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0...

output:

432100269

result:

ok 1 number(s): "432100269"

Test #16:

score: 0
Accepted
time: 1130ms
memory: 74224kb

input:

300000
1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 1000000 10000...

output:

432100269

result:

ok 1 number(s): "432100269"

Test #17:

score: 0
Accepted
time: 853ms
memory: 54744kb

input:

299995
1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 0 0...

output:

261818019

result:

ok 1 number(s): "261818019"

Test #18:

score: 0
Accepted
time: 545ms
memory: 34812kb

input:

299997
2 2 0 9 4 4 2 3 8 9 3 9 1 6 4 0 1 5 1 0 7 9 3 3 8 9 3 8 3 6 9 3 9 5 9 1 4 4 7 5 9 0 7 3 7 2 0 3 3 8 2 1 7 6 8 1 6 1 8 4 7 6 3 6 1 6 8 9 3 8 1 5 0 8 1 10 0 3 4 5 8 5 6 9 2 4 5 0 9 0 9 5 1 0 3 7 5 8 8 10 10 3 3 10 5 8 9 9 7 4 4 1 1 6 5 7 2 5 8 3 3 9 6 4 1 0 2 6 2 8 7 7 10 5 7 8 3 8 5 1 6 6 6 1 ...

output:

999738318

result:

ok 1 number(s): "999738318"

Test #19:

score: -100
Wrong Answer
time: 1033ms
memory: 34352kb

input:

299999
97 34 33 30 15 73 31 69 60 63 79 87 78 13 49 58 23 38 91 28 70 70 14 98 56 59 81 66 29 21 10 51 94 32 41 98 16 48 67 62 55 5 17 81 30 91 39 93 73 74 46 74 41 99 19 10 0 16 72 95 84 40 97 17 76 10 42 50 66 97 4 30 71 74 46 5 75 87 55 82 38 94 14 82 49 10 23 21 19 99 52 100 71 29 64 73 54 88 2 ...

output:

91752677

result:

wrong answer 1st numbers differ - expected: '799664563', found: '91752677'