/*************************************
* author: marvinthang *
* created: 05.12.2023 08:26:16 *
*************************************/
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define left ___left
#define right ___right
#define TIME (1.0 * clock() / CLOCKS_PER_SEC)
#define MASK(i) (1LL << (i))
#define BIT(x, i) ((x) >> (i) & 1)
#define __builtin_popcount __builtin_popcountll
#define ALL(v) (v).begin(), (v).end()
#define REP(i, n) for (int i = 0, _n = (n); i < _n; ++i)
#define REPD(i, n) for (int i = (n); i-- > 0; )
#define FOR(i, a, b) for (int i = (a), _b = (b); i < _b; ++i)
#define FORD(i, b, a) for (int i = (b), _a = (a); --i >= _a; )
#define FORE(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define FORDE(i, b, a) for (int i = (b), _a = (a); i >= _a; --i)
#define scan_op(...) istream & operator >> (istream &in, __VA_ARGS__ &u)
#define print_op(...) ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
#include "debug.h"
#else
#define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
#define DB(...) 23
#define db(...) 23
#define debug(...) 23
#endif
template <class U, class V> scan_op(pair <U, V>) { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>) { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>) { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")"; else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }
const int MOD = 1e9 + 7;
namespace MODULAR {
inline void fasterLLDivMod(unsigned long long x, unsigned y, unsigned &out_d, unsigned &out_m) {
unsigned xh = (unsigned)(x >> 32), xl = (unsigned)x, d, m;
#ifdef __GNUC__
asm(
"divl %4 \n\t"
: "=a" (d), "=d" (m)
: "d" (xh), "a" (xl), "r" (y)
);
#else
__asm {
mov edx, dword ptr[xh];
mov eax, dword ptr[xl];
div dword ptr[y];
mov dword ptr[d], eax;
mov dword ptr[m], edx;
};
#endif
out_d = d; out_m = m;
}
template <class T> T invGeneral(T a, T b) {
a %= b;
if (!a) return b == 1 ? 0 : -1;
T x = invGeneral(b, a);
return x == -1 ? -1 : ((1 - 1LL * b * x) / a + b) % b;
}
template <int MOD> struct ModInt {
unsigned int val;
ModInt(void): val(0) {}
ModInt(const long long &x) { *this = x; }
ModInt & normalize(const unsigned int &v) {
val = v >= MOD ? v - MOD : v;
return *this;
}
bool operator ! (void) { return !val; }
ModInt & operator = (const ModInt &x) { val = x.val; return *this; }
ModInt & operator = (const long long &x) { return normalize(x % MOD + MOD); }
ModInt operator - (void) { return ModInt(MOD - val); }
ModInt & operator += (const ModInt &other) { return normalize(val + other.val); }
ModInt & operator -= (const ModInt &other) { return normalize(val + MOD - other.val); }
ModInt & operator /= (const ModInt &other) { return *this *= other.inv(); }
ModInt & operator *= (const ModInt &other) {
unsigned dummy;
fasterLLDivMod((unsigned long long) val * other.val, MOD, dummy, val);
return *this;
}
ModInt operator + (const ModInt &other) const { return ModInt(*this) += other; }
ModInt operator - (const ModInt &other) const { return ModInt(*this) -= other; }
ModInt operator * (const ModInt &other) const { return ModInt(*this) *= other; }
ModInt operator / (const ModInt &other) const { return ModInt(*this) /= other; }
ModInt pow(long long n) const {
assert(n >= 0);
ModInt res = 1, a = *this;
for (; n; n >>= 1, a *= a) if (n & 1) res *= a;
return res;
}
ModInt inv(void) const {
int i = invGeneral((int) val, MOD);
assert(~i);
return i;
}
ModInt & operator ++ (void) { return *this += 1; }
ModInt & operator -- (void) { return *this -= 1; }
ModInt operator ++ (int) { ModInt old = *this; operator ++(); return old; }
ModInt operator -- (int) { ModInt old = *this; operator --(); return old; }
friend ModInt operator + (const long long &x, const ModInt &y) { return ModInt(x) + y; }
friend ModInt operator - (const long long &x, const ModInt &y) { return ModInt(x) - y; }
friend ModInt operator * (const long long &x, const ModInt &y) { return ModInt(x) * y; }
friend ModInt operator / (const long long &x, const ModInt &y) { return ModInt(x) / y; }
friend ostream & operator << (ostream &out, const ModInt &x) { return out << x.val; }
friend istream & operator >> (istream &in, ModInt &x) { long long a; in >> a; x = a; return in; }
explicit operator bool(void) const { return val; }
explicit operator int(void) const { return val; }
};
using Modular = ModInt <MOD>;
}
using namespace MODULAR;
// index from 0
template <class T> struct Fenwick {
int n; vector <T> bit;
Fenwick(int _n = 0): n(_n), bit(n + 1, 0) {}
void reset(void) { fill(bit.begin(), bit.end(), 0); }
void resize(int _n) { bit.assign(_n + 1, 0); }
void update(int i, T val) { for (++i; i <= n; i += i & -i) bit[i] += val; }
T get(int i) {
if (i < 0) return 0;
T res(0);
for (i = min(i + 1, n); i > 0; i &= i - 1) res += bit[i];
return res;
}
int upper_bound(T val) {
int res = 0;
for (int i = __lg(n); i >= 0; --i)
if ((res | MASK(i)) <= n && val >= bit[res | MASK(i)]) res |= MASK(i), val -= bit[res];
return res;
}
int lower_bound(T val) {
int res = 0;
for (int i = __lg(n); i >= 0; --i)
if ((res | MASK(i)) <= n && val > bit[res | MASK(i)]) res |= MASK(i), val -= bit[res];
return res;
}
};
// end of template
void process(void) {
int n, r; cin >> n >> r;
vector <vector <int>> adj(n);
REP(i, n - 1) {
int u, v; cin >> u >> v; --u; --v;
adj[u].push_back(v);
adj[v].push_back(u);
}
vector <int> tags(n, -1);
tags[0] = r;
int m = n + r;
vector <Modular> fact(m + 1), ifact(m + 1);
fact[0] = 1;
FORE(i, 1, m) fact[i] = fact[i - 1] * i;
ifact[m] = fact[m].inv();
REPD(i, m) ifact[i] = ifact[i + 1] * (i + 1);
auto C = [&] (int n, int k) -> Modular {
if (k < 0 || n < k) return 0;
return fact[n] * ifact[k] * ifact[n - k];
};
auto candy = [&] (int n, int k) {
return C(n + k - 1, k - 1);
};
vector <int> tsz(n), tin(n), tout(n), ver(n);
int t = 0;
function<void(int)> dfs = [&] (int u) {
ver[t] = u;
tin[u] = t++;
tsz[u] = 1;
for (int v: adj[u]) {
adj[v].erase(find(ALL(adj[v]), u));
dfs(v);
tsz[u] += tsz[v];
}
tout[u] = t;
};
dfs(0);
vector <int> st(n * 4 + 23, -1);
function<void(int, int, int, int, int)> update = [&] (int i, int l, int r, int p, int v) {
if (r - l == 1) {
st[i] = v;
return;
}
int m = l + r >> 1;
if (p < m) update(i << 1, l, m, p, v);
else update(i << 1 | 1, m, r, p, v);
st[i] = max(st[i << 1], st[i << 1 | 1]);
};
function<int(int, int, int, int, int)> walk = [&] (int i, int l, int r, int p, int v) {
if (l >= p || st[i] < v) return -1;
if (r - l == 1) return ver[l];
int m = l + r >> 1;
int res = walk(i << 1 | 1, m, r, p, v);
if (res == -1) res = walk(i << 1, l, m, p, v);
return res;
};
update(1, 0, n, 0, n);
Fenwick <long long> sum_st(n), sum_sz(n);
sum_st.update(0, r);
sum_sz.update(0, n);
Modular res = candy(r, n);
cout << res << '\n';
int cnt = 0;
auto add = [&] (int u) {
long long st = tags[u] - sum_st.get(tout[u] - 1) + sum_st.get(tin[u]);
long long sz = tsz[u] - sum_sz.get(tout[u] - 1) + sum_sz.get(tin[u]);
sum_st.update(tin[u], st);
sum_sz.update(tin[u], sz);
update(1, 0, n, tin[u], tout[u]);
if (st < 0) ++cnt;
else res *= candy(st, sz);
};
auto del = [&] (int u) {
long long st = sum_st.get(tout[u] - 1) - sum_st.get(tin[u] - 1);
long long sz = sum_sz.get(tout[u] - 1) - sum_sz.get(tin[u] - 1);
sum_st.update(tin[u], -st);
sum_sz.update(tin[u], -sz);
update(1, 0, n, tin[u], -1);
if (st < 0) --cnt;
else res /= candy(st, sz);
};
int q; cin >> q;
while (q--) {
int t, u; cin >> t >> u; --u;
int p = walk(1, 0, n, tin[u], tout[u]);
if (t == 1) {
cin >> tags[u];
del(p); add(u); add(p);
} else {
del(p); del(u); add(p);
}
cout << (cnt ? 0 : res) << '\n';
}
}
int main(void) {
ios_base::sync_with_stdio(false); cin.tie(nullptr); // cout.tie(nullptr);
file("INOI20_sumtree");
// int t; cin >> t; while (t--)
process();
// cerr << "Time elapsed: " << TIME << " s.\n";
return (0^0);
}
Compilation message
Main.cpp: In lambda function:
Main.cpp:193:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
193 | int m = l + r >> 1;
| ~~^~~
Main.cpp: In lambda function:
Main.cpp:201:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
201 | int m = l + r >> 1;
| ~~^~~
Main.cpp: In function 'int main()':
Main.cpp:30:61: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
30 | #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:248:2: note: in expansion of macro 'file'
248 | file("INOI20_sumtree");
| ^~~~
Main.cpp:30:94: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
30 | #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:248:2: note: in expansion of macro 'file'
248 | file("INOI20_sumtree");
| ^~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
84 ms |
36176 KB |
Output is correct |
| 2 |
Correct |
79 ms |
34992 KB |
Output is correct |
| 3 |
Correct |
79 ms |
34572 KB |
Output is correct |
| 4 |
Correct |
81 ms |
35924 KB |
Output is correct |
| 5 |
Correct |
78 ms |
30292 KB |
Output is correct |
| 6 |
Correct |
6 ms |
3416 KB |
Output is correct |
| 7 |
Correct |
6 ms |
2908 KB |
Output is correct |
| 8 |
Correct |
4 ms |
1884 KB |
Output is correct |
| 9 |
Correct |
73 ms |
25620 KB |
Output is correct |
| 10 |
Correct |
75 ms |
25424 KB |
Output is correct |
| 11 |
Correct |
77 ms |
25644 KB |
Output is correct |
| 12 |
Correct |
70 ms |
22864 KB |
Output is correct |
| 13 |
Correct |
83 ms |
33960 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
103 ms |
70824 KB |
Execution killed with signal 6 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
104 ms |
51540 KB |
Execution killed with signal 6 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
84 ms |
36176 KB |
Output is correct |
| 2 |
Correct |
79 ms |
34992 KB |
Output is correct |
| 3 |
Correct |
79 ms |
34572 KB |
Output is correct |
| 4 |
Correct |
81 ms |
35924 KB |
Output is correct |
| 5 |
Correct |
78 ms |
30292 KB |
Output is correct |
| 6 |
Correct |
6 ms |
3416 KB |
Output is correct |
| 7 |
Correct |
6 ms |
2908 KB |
Output is correct |
| 8 |
Correct |
4 ms |
1884 KB |
Output is correct |
| 9 |
Correct |
73 ms |
25620 KB |
Output is correct |
| 10 |
Correct |
75 ms |
25424 KB |
Output is correct |
| 11 |
Correct |
77 ms |
25644 KB |
Output is correct |
| 12 |
Correct |
70 ms |
22864 KB |
Output is correct |
| 13 |
Correct |
83 ms |
33960 KB |
Output is correct |
| 14 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
| 15 |
Halted |
0 ms |
0 KB |
- |
