oj.uz

Submission #627285

# Submission time Handle Problem Language Result Execution time Memory
627285 2022-08-12T11:50:17 Z AA_Surely Sumtree (INOI20_sumtree) C++14
10 / 100
 3000 ms 62640 KB 
#include <bits/stdc++.h>

#define FOR(i, x, n) for(int i = x; i < n; i++)
#define F0R(i, n) FOR(i, 0, n)
#define ROF(i, x, n) for(int i = n - 1; i >= x; i--)
#define R0F(i, n) ROF(i, 0, n)

#define WTF cout << "WTF" << endl

#define IOS ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define F first
#define S second
#define PB push_back

#define ALL(x) x.begin(), x.end()
#define RALL(x) x.rbegin(), x.rend()

using namespace std;

typedef long long LL;

typedef pair<int, int> PII;
typedef pair<LL, LL> PLL;

typedef vector<int> VI;
typedef vector<LL> VLL;
typedef vector<PII> VPII;
typedef vector<PLL> VPLL;

const int N = 5e5 + 7;
const int LOG = 22;
const int INF = 1e9 + 7;
const int MOD = 1e9 + 7;

#define lc now << 1
#define rc now << 1 | 1
#define endl '\n'

LL chs[N], vir[N], fact[N], ifact[N];
LL ans;
VI adj[N], order;
LL n, q, bad, cnt;
LL head[N], par[N], s[N], height[N];
LL t[N][2];

struct SumTree {
    LL tree[N << 2];

    void add(int lq, int rq, LL val, int now = 1, int ls = 0, int rs = n - 1) {
        if (rq < lq || rq < ls || rs < lq) return;
        if (lq <= ls && rs <= rq) {
            tree[now] += val;
            return;
        }

        int mid = (ls + rs) >> 1;
        add(lq, rq, val, lc, ls, mid);
        add(lq, rq, val, rc, mid + 1, rs);

        return;
    }

    LL get(int id, int now = 1, int ls = 0, int rs = n - 1) {
        if (ls == rs) return tree[now];
        int mid = (ls + rs) >> 1;
        if (id <= mid) return get(id, lc, ls, mid) + tree[now];
        return get(id, rc, mid + 1, rs) + tree[now];
    }
} val, sz;

struct DescendTree {
    bool tree[N << 2];
    bool arr[N];

    void ch(int id, bool val, int now = 1, int ls = 0, int rs = n - 1) {
        if (ls == rs) {
            tree[now] = val;
            return;
        }

        int mid = (ls + rs) >> 1;
        if (ls <= mid) ch(id, val, lc, ls, mid);
        else ch(id, val, rc, mid + 1, rs);

        tree[now] = tree[lc] | tree[rc];
        return;
    }

    void change(int id, int val) {
        ch(id, val);
        arr[id] = val;
    }

    int g(int x) {
        return arr[x];
    }

    int rightest(int q, int now = 1, int ls = 0, int rs = n - 1) {
        if (ls > q || !tree[now]) return n;
        if (ls == rs) return ls;
        int mid = (ls + rs) >> 1;
        int case1 = rightest(q, rc, mid + 1, rs);
        return (case1 == n ? rightest(q, lc, ls, mid) : case1);
    }
} active;

inline int pw(LL a, int b) {
    LL ret = 1;
    for(; b; b >>= 1, a = a * a % MOD)
        if (b & 1) ret = ret * a % MOD;
    return ret;
}

inline int nCr(int nn, int rr) {
    if (nn < rr || rr < 0) return 0;
    return (fact[nn] * ifact[rr] % MOD) * ifact[nn - rr] % MOD;
}

void init() {
    LL v0;
    cin >> n >> v0;
    val.add(0, 0, v0);

    F0R(i, n - 1) {
        int u, v;
        cin >> u >> v;
        adj[--u].PB(--v);
        adj[v].PB(u);
    }

    cin >> q;

    ans = 1;
    return;
}

void preD(int now, int p, int h = 0) {
    par[now] = p;
    s[now] = 1;
    height[now] = h;
    for(int on : adj[now]) if (on != p) {
        preD(on, now, h + 1);
        s[now] += s[on];
    }
    return;
}

void precalc() {
    fact[0] = 1;
    FOR(i, 1, N) fact[i] = fact[i - 1] * i % MOD;
    ifact[N - 1] = pw(fact[N - 1], MOD - 2);
    R0F(i, N - 1) ifact[i] = ifact[i + 1] * (i + 1) % MOD;
    iota(head, head + n, 0);

    F0R(i, n) {
        sort(ALL(adj[i]), [](const int &a, const int &b) {return s[a] < s[b];});
        if (i) adj[i].pop_back();
        reverse(ALL(adj[i]));
    }

    return;
}

void dfs(int now) {
    order.PB(now);
    t[now][0] = cnt++;
    //if (!adj[now].empty()) head[ adj[now][0] ] = head[now];

    for(int on : adj[now]) dfs(on);

    t[now][1] = cnt;
    return;
}

void updChoose(int now) {
    if (!chs[now]) bad--;
    else ans = (ans * pw(chs[now], MOD - 2)) % MOD;
    
    LL val_now = val.get(t[now][0]);
    LL sz_now = sz.get(t[now][0]);
    chs[now] = nCr(val_now + sz_now - 1, sz_now - 1);

    if (!chs[now]) bad++;
    else ans = (ans * chs[now]) % MOD;

    return;
}

void remChoose(int now) {
    if (!chs[now]) bad--;
    else ans = (ans * pw(chs[now], MOD - 2)) % MOD;

    chs[now] = 1;

    return;
}

int getUpperActive(int v) {
    while(!active.g(v)) {
        int pl = order[ active.rightest(t[v][0]) ];
        if (t[pl] >= t[ head[v] ]) v = pl;
        else v = par[ head[v] ];
    }

    return v;
}

void addUpTo(int v, int z, int x1, LL x2) {
    while(height[v] >= height[z]) {
        int w = (height[ head[v] ] >= height[z] ? head[v] : z);
        sz.add(t[w][0], t[v][0], x1);
        val.add(t[w][0], t[v][0], x2);

        v = par[w];
    }

    return;
}

void addTag() {
    int v, x;
    cin >> v >> x;
    v--;
    
    val.add(t[v][0], t[v][0], x);
    LL sz_v = sz.get(t[v][0]);
    LL val_v = val.get(t[v][0]);

    int up = getUpperActive(v);
    addUpTo(par[v], up, -sz_v, -val_v);
    
    vir[v] = x;

    updChoose(up);
    updChoose(v);

    active.change(v, 1);
    return;
}

void remTag() {
    int v;
    cin >> v; 
    v--;

    LL sz_v = sz.get(t[v][0]);
    LL val_v = val.get(t[v][0]);

    int up = getUpperActive(par[v]);
    addUpTo(par[v], up, sz_v, val_v);

    val.add(v, v, -vir[v]);

    updChoose(up);
    remChoose(v);

    active.change(v, 0);
    return;
}

int main() {
    IOS;

    init();

    height[n] = -1;
    par[0] = n;

    preD(0, n);
    precalc();
    dfs(0);

    F0R(i, n) sz.add(t[i][0], t[i][0], s[i]);

    active.change(0, 1);
    fill(chs, chs + n, 1);
    updChoose(0);

    cout << ans << endl;

    while(q--) {
        int tp; cin >> tp;
        if (tp == 1) addTag();
        else remTag();

        cout << (bad ? 0 : ans) << endl;
    }
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 195 ms 50564 KB Output is correct
2 Correct 172 ms 50548 KB Output is correct
3 Correct 247 ms 50520 KB Output is correct
4 Correct 186 ms 50548 KB Output is correct
5 Correct 171 ms 46608 KB Output is correct
6 Correct 17 ms 20564 KB Output is correct
7 Correct 19 ms 20340 KB Output is correct
8 Correct 19 ms 20280 KB Output is correct
9 Correct 195 ms 42964 KB Output is correct
10 Correct 185 ms 43096 KB Output is correct
11 Correct 248 ms 43020 KB Output is correct
12 Correct 172 ms 42008 KB Output is correct
13 Correct 159 ms 48956 KB Output is correct

Subtask #2
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 19872 KB Output is correct
2 Incorrect 18 ms 19960 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #3
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 677 ms 55672 KB Output is correct
2 Correct 679 ms 56320 KB Output is correct
3 Correct 589 ms 56488 KB Output is correct
4 Correct 786 ms 57188 KB Output is correct
5 Correct 898 ms 54940 KB Output is correct
6 Correct 27 ms 20564 KB Output is correct
7 Correct 19 ms 20436 KB Output is correct
8 Correct 22 ms 20356 KB Output is correct
9 Correct 787 ms 50828 KB Output is correct
10 Correct 665 ms 50212 KB Output is correct
11 Correct 534 ms 50068 KB Output is correct
12 Correct 654 ms 50048 KB Output is correct
13 Execution timed out 3069 ms 62640 KB Time limit exceeded
14 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3016 ms 49404 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 195 ms 50564 KB Output is correct
2 Correct 172 ms 50548 KB Output is correct
3 Correct 247 ms 50520 KB Output is correct
4 Correct 186 ms 50548 KB Output is correct
5 Correct 171 ms 46608 KB Output is correct
6 Correct 17 ms 20564 KB Output is correct
7 Correct 19 ms 20340 KB Output is correct
8 Correct 19 ms 20280 KB Output is correct
9 Correct 195 ms 42964 KB Output is correct
10 Correct 185 ms 43096 KB Output is correct
11 Correct 248 ms 43020 KB Output is correct
12 Correct 172 ms 42008 KB Output is correct
13 Correct 159 ms 48956 KB Output is correct
14 Correct 16 ms 19872 KB Output is correct
15 Incorrect 18 ms 19960 KB Output isn't correct
16 Halted 0 ms 0 KB -