oj.uz

Submission #627214

# Submission time Handle Problem Language Result Execution time Memory
627214 2022-08-12T11:22:35 Z AA_Surely Sumtree (INOI20_sumtree) C++17
10 / 100
 3000 ms 94320 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;
int n, q, bad, cnt;
int head[N], ns[N], par[N], s[N], height[N];
int t[N][2];

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

    void build(int now = 1, int ls = 0, int rs = n - 1) {
        if (ls == rs) {
            tree[now] = s[ls];
            return;
        }

        int mid = (ls + rs) >> 1;
        build(lc, ls, mid);
        build(rc, mid + 1, rs);

        return;
    }

    void add(int lq, int rq, LL val, int now = 1, int ls = 0, int rs = n - 1) {
        //cout << "ls rs " << ls << ' ' << rs << endl;
        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];
    }

    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;
    //cout << "----------" << endl;
    val.add(0, 0, v0);
    //cout << "val.add(0, 0, " << v0 << ")" << endl;

    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) {
    par[now] = p;
    s[now] = 1;
    for(int on : adj[now]) if (on != p) {
        preD(on, now);
        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(now);
    LL sz_now = sz.get(now);
    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 = 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) {
    //cout << "z = " << z << endl;
    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];
        //cout << "v = " << v << endl;
    }

    return;
}

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

    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--;

    int sz_v = sz.get(v);
    int val_v = val.get(v);

    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);
    sz.build();

    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 174 ms 43736 KB Output is correct
2 Correct 195 ms 43844 KB Output is correct
3 Correct 187 ms 43808 KB Output is correct
4 Correct 208 ms 43896 KB Output is correct
5 Correct 188 ms 39872 KB Output is correct
6 Correct 21 ms 20484 KB Output is correct
7 Correct 19 ms 20240 KB Output is correct
8 Correct 21 ms 20180 KB Output is correct
9 Correct 223 ms 36140 KB Output is correct
10 Correct 163 ms 36084 KB Output is correct
11 Correct 202 ms 36180 KB Output is correct
12 Correct 206 ms 35480 KB Output is correct
13 Correct 152 ms 42464 KB Output is correct

Subtask #2
0 / 20.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3060 ms 19868 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #3
0 / 20.0

# Verdict Execution time Memory Grader output
1 Runtime error 230 ms 94320 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3019 ms 40308 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 174 ms 43736 KB Output is correct
2 Correct 195 ms 43844 KB Output is correct
3 Correct 187 ms 43808 KB Output is correct
4 Correct 208 ms 43896 KB Output is correct
5 Correct 188 ms 39872 KB Output is correct
6 Correct 21 ms 20484 KB Output is correct
7 Correct 19 ms 20240 KB Output is correct
8 Correct 21 ms 20180 KB Output is correct
9 Correct 223 ms 36140 KB Output is correct
10 Correct 163 ms 36084 KB Output is correct
11 Correct 202 ms 36180 KB Output is correct
12 Correct 206 ms 35480 KB Output is correct
13 Correct 152 ms 42464 KB Output is correct
14 Execution timed out 3060 ms 19868 KB Time limit exceeded
15 Halted 0 ms 0 KB -