Submission #907342


Source Code Expand

#include <bits/stdc++.h>

using namespace std;

int const MOD = 924844033;
int mul(int x, int y) {
  return (int) ((long long) x * y % MOD);
}

int modpow(int a, int b) {
  int ret = 1;
  while (b > 0) {
    if (b & 1) {
      ret = mul(ret, a);
    }
    a = mul(a, a);
    b >>= 1;
  }
  return ret;
}
void add(int &a, int b) {
  a += b;
  if (a >= MOD) a -= MOD;
}

int const N = 1234567;
int FACT[N], INVFACT[N], INV[N];

int c(int n, int k) {
  if (k > n || k < 0) return 0;
  return mul(FACT[n], mul(INVFACT[k], INVFACT[n - k]));
}

int ans[N];
int n;

int sz[N];

vector<int> edges[N];

int f[N];


void dfs(int v, int pv) {
  sz[v] = 1;
  for (int to : edges[v]) {
    if (to != pv) {
      dfs(to, v);
      sz[v] += sz[to];
    }
  }
  add(f[n], 1);
  add(f[n - sz[v]], MOD - 1);
  for (int to : edges[v]) {
    if (to != pv) {
      add(f[sz[to]], MOD - 1);
    }
  }
}

int const G = 5;
int ROOT;
int const F = 21;
int rpws[(1 << F) + 1];

int inverse(int x, int bits) {
  int y = 0;
  for (int i = 0; i < bits; i++) {
    y = (y << 1) | (x & 1);
    x >>= 1;
  }
  return y;
}
int px[1 << F], py[1 << F];

void fft(int *a, int bits, bool inv) {
  int n = 1 << bits;
  for (int i = 0; i < n; i++) {
    int j = inverse(i, bits);
    if (i < j) {
      std::swap(a[i], a[j]);
    }
  }
  for (int len = 2; len <= n; len <<= 1) {
    int half = len >> 1;
    int step = (1 << F) / len;
    for (int i = 0; i < n; i += len) {
      int k = inv ? (1 << F) : 0;
      for (int j = 0; j < half; j++) {
        int u = a[i + j];
        int v = mul(a[i + j + half], rpws[k]);
        int x = u;
        add(x, v);
        int y = u;
        add(y, MOD - v);
        a[i + j] = x;
        a[i + j + half] = y;
        if (inv) {
          k -= step;
        } else {
          k += step;
        }
      }
    }
  }
  if (inv) {
    int invn = modpow(n, MOD - 2);
    for (int i = 0; i < n; i++) {
      a[i] = mul(a[i], invn);
    }
  }
}

void mul(int *px, int *py, int bits) {  
  fft(px, bits, false);
  fft(py, bits, false);
  int n = 1 << bits;
  for (int i = 0; i < n; i++) {
    px[i] = mul(px[i], py[i]);
  }
  fft(px, bits, true);
}

void go(int l, int r) {
  if (l + 1 >= r) return;
  int mid = (l + r) >> 1;
  go(l, mid);
  go(mid, r);
  int len = (r - l + 1) / 2 + 2;
  int p2 = 1;
  int bits = 0;
  while (p2 < len) {
    p2 <<= 1;
    ++bits;
  }
  fill(px, px + 2 * p2, 0);
  fill(py, py + 2 * p2, 0);
  for (int i = mid; i < r; i++) {
    px[i - mid] = f[i];
  }
  // for (int i = 0; i < p2; i++) printf("%d ", px[i]);
  // printf("* ");
  for (int i = l; i < mid; i++) {
    py[p2 - (i - l) - 1] = INVFACT[i];
  }
  // for (int i = 0; i < p2; i++) {
  //   printf("%d ", py[i]);
  // }
  int lsize = mid - l;
  mul(px, py, bits + 1);
  // printf(" =");
  // for (int i = 0; i < 2 * p2; i++) printf("%d ", px[i]);
  // puts("");
  for (int i = p2 - lsize; i < 2 * p2; i++) {
    add(ans[i - (p2 - lsize) + 1], px[i]);
  }
}

int main() {
  int po = (MOD - 1) / (1 << 21);
  ROOT = 1;
  for (int i = 0; i < po; i++) {
    ROOT = mul(ROOT, G);
  }
  rpws[0] = 1;
  for (int i = 1; i <= 1 << F; i++) {
    rpws[i] = mul(ROOT, rpws[i - 1]);
  }
  INV[1] = 1;
  for (int i = 2; i < N; i++) {
    INV[i] = mul(MOD - MOD / i, INV[MOD % i]);
  }
  FACT[0] = INVFACT[0] = 1;
  for (int i = 1; i < N; i++) {
    FACT[i] = mul(i, FACT[i - 1]);
    INVFACT[i] = mul(INV[i], INVFACT[i - 1]);
  }
  scanf("%d", &n);
  for (int i = 0; i + 1 < n; i++) {
    int v, u;
    scanf("%d%d", &v, &u);
    --v;
    --u;
    edges[v].push_back(u);
    edges[u].push_back(v);
  }
  dfs(0, -1);
  for (int i = 0; i <= n; i++) f[i] = mul(f[i], FACT[i]);
  go(0, n + 1);
  for (int i = 1; i <= n; i++) {
    printf("%d\n", mul(ans[i], INVFACT[i]));
  }
}

Submission Info

Submission Time
Task F - Many Easy Problems
User niyaznigmatul
Language C++14 (GCC 5.4.1)
Score 1900
Code Size 3939 Byte
Status AC
Exec Time 999 ms
Memory 77824 KB

Compile Error

./Main.cpp: In function ‘int main()’:
./Main.cpp:178:18: warning: ignoring return value of ‘int scanf(const char*, ...)’, declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d", &n);
                  ^
./Main.cpp:181:26: warning: ignoring return value of ‘int scanf(const char*, ...)’, declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d%d", &v, &u);
                          ^

Judge Result

Set Name Sample All
Score / Max Score 0 / 0 1900 / 1900
Status
AC × 3
AC × 48
Set Name Test Cases
Sample example0, example1, example2
All doublestar0, doublestar1, doublestar2, doublestar3, doublestar4, example0, example1, example2, line0, line1, line2, line3, line4, maxrand0, maxrand1, maxrand10, maxrand11, maxrand12, maxrand13, maxrand14, maxrand15, maxrand16, maxrand17, maxrand18, maxrand19, maxrand2, maxrand3, maxrand4, maxrand5, maxrand6, maxrand7, maxrand8, maxrand9, rand0, rand1, rand2, rand3, rand4, rand5, rand6, rand7, rand8, rand9, star0, star1, star2, star3, star4
Case Name Status Exec Time Memory
doublestar0 AC 952 ms 64888 KB
doublestar1 AC 951 ms 64888 KB
doublestar2 AC 952 ms 64888 KB
doublestar3 AC 954 ms 64888 KB
doublestar4 AC 952 ms 64888 KB
example0 AC 76 ms 51840 KB
example1 AC 78 ms 51840 KB
example2 AC 76 ms 51840 KB
line0 AC 992 ms 77696 KB
line1 AC 986 ms 77696 KB
line2 AC 993 ms 77824 KB
line3 AC 989 ms 77696 KB
line4 AC 991 ms 77696 KB
maxrand0 AC 999 ms 64768 KB
maxrand1 AC 995 ms 64768 KB
maxrand10 AC 991 ms 64768 KB
maxrand11 AC 984 ms 64768 KB
maxrand12 AC 982 ms 64768 KB
maxrand13 AC 988 ms 64768 KB
maxrand14 AC 985 ms 64768 KB
maxrand15 AC 986 ms 64768 KB
maxrand16 AC 984 ms 64768 KB
maxrand17 AC 985 ms 64768 KB
maxrand18 AC 985 ms 64768 KB
maxrand19 AC 989 ms 64768 KB
maxrand2 AC 987 ms 64768 KB
maxrand3 AC 984 ms 64768 KB
maxrand4 AC 984 ms 64768 KB
maxrand5 AC 986 ms 64768 KB
maxrand6 AC 986 ms 64768 KB
maxrand7 AC 983 ms 64768 KB
maxrand8 AC 987 ms 64768 KB
maxrand9 AC 985 ms 64768 KB
rand0 AC 84 ms 52096 KB
rand1 AC 76 ms 51840 KB
rand2 AC 81 ms 51968 KB
rand3 AC 84 ms 51968 KB
rand4 AC 78 ms 51840 KB
rand5 AC 84 ms 52096 KB
rand6 AC 80 ms 51968 KB
rand7 AC 84 ms 51968 KB
rand8 AC 76 ms 51840 KB
rand9 AC 79 ms 51968 KB
star0 AC 948 ms 65268 KB
star1 AC 946 ms 65268 KB
star2 AC 949 ms 65268 KB
star3 AC 948 ms 65268 KB
star4 AC 948 ms 65268 KB