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Submission #257358

# Submission time Handle Problem Language Result Execution time Memory
257358 2020-08-04T07:04:16 Z BThero Intergalactic ship (IZhO19_xorsum) C++17
83 / 100
 2000 ms 16512 KB 
// chrono::system_clock::now().time_since_epoch().count()
#include<bits/stdc++.h>

#define pb push_back
#define eb emplace_back
#define mp make_pair
#define fi first
#define se second
#define all(x) (x).begin(), (x).end()
#define debug(x) cerr << #x << " = " << x << endl;

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;

const int MAXN = (int)1e3 + 5;
const int MAXQ = (int)1e5 + 5;
const int MOD = (int)1e9 + 7;

int seg[4][MAXN][MAXN];
array<int, 3> que[MAXQ];
int pw[MAXQ];
int arr[MAXN];
int n, q, ans;

int addMod(int a, int b, int m = MOD) {
  a += b;
  
  if (m <= a) {
    a -= m;
  }
  
  return a;
}

int mulMod(int a, int b, int m = MOD) {
  return a * 1ll * b % m;
}

int binPow(int a, int b, int m = MOD) {
  int ret = 1;
  
  while (b > 0) {
    if (b & 1) {
      ret = mulMod(ret, a, m);
    }
    
    a = mulMod(a, a, m);
    b >>= 1;
  }
  
  return ret;
}

int bit(int x, int p) {
  return (x >> p) & 1;
}

void pre() {
  pw[0] = 1;
  
  for (int i = 1; i < MAXQ; ++i) {
    pw[i] = mulMod(pw[i - 1], 2);
  } 
}

int calc(int p1, int p2) {
  int ret = 0;
  
  for (int i = 0; i < 4; ++i) {
    for (int l = 1; l <= n; ++l) {
      for (int r = 1; r <= n; ++r) {
        seg[i][l][r] = 0;
      }
    }
  }
  
  for (int i = 1; i <= q; ++i) {
    auto &[l, r, x] = que[i];
    int msk = bit(x, p1) + (bit(x, p2) << 1);
    seg[msk][l][r]++;
  }
  
  for (int i = 0; i < 4; ++i) {
    for (int l = 1; l <= n; ++l) {
      int cur = 0;
    
      for (int r = n; r; --r) {
        cur += seg[i][l][r];
        seg[i][l][r] = seg[i][l - 1][r] + cur;
      }
    }
  }

  for (int a = 1; a <= n; ++a) {
    for (int b = 1; b <= n; ++b) {
      array<int, 4> cnt = {0, 0, 0, 0};
      int bitA = bit(arr[a], p1);
      int bitB = bit(arr[b], p2);
      
      for (int msk = 0; msk < 4; ++msk) {
        if (msk == 0) {
          cnt[0] += seg[msk][n][1];
          continue;
        }
      
        array<int, 4> cur;
        cur[0] = seg[msk][n][1];
        cur[1] = seg[msk][a][a];
        cur[2] = seg[msk][b][b];
        cur[3] = seg[msk][min(a, b)][max(a, b)];
        cur[1] -= cur[3];
        cur[2] -= cur[3];
        cur[0] -= cur[1];
        cur[0] -= cur[2];
        cur[0] -= cur[3];

        for (int msk2 = 0; msk2 < 4; ++msk2) {
          cnt[(msk & msk2)] += cur[msk2];
        }
      }
      
      int cur = 0;
      
      for (int x = 0; x < 2; ++x) {
        if (x > cnt[1]) {
          continue;
        }
      
        for (int y = 0; y < 2; ++y) {
          if (y > cnt[2]) {
            continue;
          }
        
          for (int z = 0; z < 2; ++z) {
            if (z > cnt[3]) {
              continue;
            }
          
            if ((bitA ^ x ^ z) == 1 && (bitB ^ y ^ z) == 1) {
              ++cur;
            }
          }
        }
      }
      
      for (int i = 1; i < 4; ++i) {
        cur = mulMod(cur, pw[max(0, cnt[i] - 1)]);
      }
      
      cur = mulMod(cur, pw[cnt[0]]);
      cur = mulMod(cur, mulMod(min(a, b), n - max(a, b) + 1));
      ret = addMod(ret, cur);
    }
  }
  
  return ret;
}

void solve() {
  scanf("%d", &n);
  
  for (int i = 1; i <= n; ++i) {
    scanf("%d", &arr[i]);
  }
  
  scanf("%d", &q);
  
  for (int i = 1; i <= q; ++i) {
    int l, r, x;
    scanf("%d %d %d", &l, &r, &x);
    que[i] = {l, r, x};
  }
  
  for (int a = 0; a < 7; ++a) {
    for (int b = a; b < 7; ++b) {
      int cur = mulMod(calc(a, b), (1 << (a + b)));
      
      if (b != a) {
        cur = addMod(cur, cur);
      }
    
      ans = addMod(ans, cur);
    }
  }
  
  printf("%d\n", ans);
}

int main() {
  int tt = 1;
  pre();
  
  while (tt--) {
    solve();
  }

  return 0;
}

Compilation message

xorsum.cpp: In function 'void solve()':
xorsum.cpp:162:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d", &n);
   ~~~~~^~~~~~~~~~
xorsum.cpp:165:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &arr[i]);
     ~~~~~^~~~~~~~~~~~~~~
xorsum.cpp:168:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d", &q);
   ~~~~~^~~~~~~~~~
xorsum.cpp:172:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d %d %d", &l, &r, &x);
     ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 768 KB Output is correct
2 Correct 2 ms 768 KB Output is correct
3 Correct 2 ms 896 KB Output is correct
4 Correct 2 ms 896 KB Output is correct
5 Correct 2 ms 896 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 768 KB Output is correct
2 Correct 2 ms 768 KB Output is correct
3 Correct 2 ms 896 KB Output is correct
4 Correct 2 ms 896 KB Output is correct
5 Correct 2 ms 896 KB Output is correct
6 Correct 22 ms 2360 KB Output is correct
7 Correct 20 ms 2304 KB Output is correct
8 Correct 21 ms 2304 KB Output is correct

Subtask #3
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 70 ms 3552 KB Output is correct
2 Correct 25 ms 2432 KB Output is correct
3 Correct 21 ms 2304 KB Output is correct
4 Correct 22 ms 2304 KB Output is correct

Subtask #4
0 / 9.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2080 ms 16512 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1280 KB Output is correct
2 Correct 3 ms 1152 KB Output is correct
3 Correct 3 ms 1152 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1280 KB Output is correct
2 Correct 3 ms 1152 KB Output is correct
3 Correct 3 ms 1152 KB Output is correct
4 Correct 6 ms 1280 KB Output is correct
5 Correct 5 ms 1280 KB Output is correct
6 Correct 6 ms 1280 KB Output is correct
7 Correct 6 ms 1280 KB Output is correct

Subtask #7
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 768 KB Output is correct
2 Correct 2 ms 768 KB Output is correct
3 Correct 2 ms 896 KB Output is correct
4 Correct 2 ms 896 KB Output is correct
5 Correct 2 ms 896 KB Output is correct
6 Correct 22 ms 2360 KB Output is correct
7 Correct 20 ms 2304 KB Output is correct
8 Correct 21 ms 2304 KB Output is correct
9 Correct 3 ms 1280 KB Output is correct
10 Correct 3 ms 1152 KB Output is correct
11 Correct 3 ms 1152 KB Output is correct
12 Correct 21 ms 2304 KB Output is correct
13 Correct 21 ms 2304 KB Output is correct
14 Correct 25 ms 2304 KB Output is correct
15 Correct 22 ms 2304 KB Output is correct

Subtask #8
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 768 KB Output is correct
2 Correct 2 ms 768 KB Output is correct
3 Correct 2 ms 896 KB Output is correct
4 Correct 2 ms 896 KB Output is correct
5 Correct 2 ms 896 KB Output is correct
6 Correct 22 ms 2360 KB Output is correct
7 Correct 20 ms 2304 KB Output is correct
8 Correct 21 ms 2304 KB Output is correct
9 Correct 3 ms 1280 KB Output is correct
10 Correct 3 ms 1152 KB Output is correct
11 Correct 3 ms 1152 KB Output is correct
12 Correct 6 ms 1280 KB Output is correct
13 Correct 5 ms 1280 KB Output is correct
14 Correct 6 ms 1280 KB Output is correct
15 Correct 6 ms 1280 KB Output is correct
16 Correct 21 ms 2304 KB Output is correct
17 Correct 21 ms 2304 KB Output is correct
18 Correct 25 ms 2304 KB Output is correct
19 Correct 22 ms 2304 KB Output is correct
20 Correct 888 ms 9824 KB Output is correct
21 Correct 763 ms 9848 KB Output is correct
22 Correct 728 ms 9856 KB Output is correct

Subtask #9
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 768 KB Output is correct
2 Correct 2 ms 768 KB Output is correct
3 Correct 2 ms 896 KB Output is correct
4 Correct 2 ms 896 KB Output is correct
5 Correct 2 ms 896 KB Output is correct
6 Correct 22 ms 2360 KB Output is correct
7 Correct 20 ms 2304 KB Output is correct
8 Correct 21 ms 2304 KB Output is correct
9 Correct 70 ms 3552 KB Output is correct
10 Correct 25 ms 2432 KB Output is correct
11 Correct 21 ms 2304 KB Output is correct
12 Correct 22 ms 2304 KB Output is correct
13 Execution timed out 2080 ms 16512 KB Time limit exceeded
14 Halted 0 ms 0 KB -