oj.uz

Submission #627297

# Submission time Handle Problem Language Result Execution time Memory
627297 2022-08-12T12:13:49 Z AA_Surely Sumtree (INOI20_sumtree) C++14
100 / 100
 1006 ms 71616 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) {
        //cout << "tree[" << ls << ", " << rs << "] = " << tree[now] << endl;
            tree[now] = val;
            return;
        }

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

        tree[now] = tree[lc] | tree[rc];
        //cout << "tree[" << ls << ", " << rs << "] = " << tree[now] << endl;
        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(t[v][0])) {
        int pl = order[ active.rightest(t[v][0]) ];
        if (t[pl][0] >= t[ head[v] ][0]) v = pl;
        else v = par[ head[v] ];
    }

    return v;
}

void addUpTo(int v, int z, LL 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);
    //cout << "up is " << up << endl;
    addUpTo(par[v], up, -sz_v, -val_v);
    
    vir[v] = x;

    updChoose(up);
    updChoose(v);
    
    //cout << "t[" << v << "][0] = " << t[v][0] << endl;
    active.change(t[v][0], 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(t[v][0], t[v][0], -vir[v]);

    updChoose(up);
    remChoose(v);

    active.change(t[v][0], 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 188 ms 49040 KB Output is correct
2 Correct 174 ms 49084 KB Output is correct
3 Correct 199 ms 49012 KB Output is correct
4 Correct 171 ms 49012 KB Output is correct
5 Correct 154 ms 45084 KB Output is correct
6 Correct 17 ms 20500 KB Output is correct
7 Correct 17 ms 20284 KB Output is correct
8 Correct 17 ms 20308 KB Output is correct
9 Correct 187 ms 41396 KB Output is correct
10 Correct 204 ms 41388 KB Output is correct
11 Correct 184 ms 41448 KB Output is correct
12 Correct 186 ms 40488 KB Output is correct
13 Correct 173 ms 47232 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 19924 KB Output is correct
2 Correct 16 ms 19924 KB Output is correct
3 Correct 16 ms 19924 KB Output is correct
4 Correct 16 ms 19924 KB Output is correct
5 Correct 17 ms 20052 KB Output is correct
6 Correct 20 ms 20180 KB Output is correct
7 Correct 24 ms 20256 KB Output is correct
8 Correct 20 ms 20228 KB Output is correct
9 Correct 23 ms 20472 KB Output is correct
10 Correct 22 ms 20460 KB Output is correct
11 Correct 22 ms 20472 KB Output is correct
12 Correct 20 ms 20436 KB Output is correct
13 Correct 23 ms 20388 KB Output is correct
14 Correct 22 ms 20436 KB Output is correct
15 Correct 23 ms 20708 KB Output is correct
16 Correct 26 ms 20432 KB Output is correct
17 Correct 25 ms 20492 KB Output is correct
18 Correct 20 ms 20116 KB Output is correct
19 Correct 26 ms 20448 KB Output is correct
20 Correct 20 ms 20180 KB Output is correct
21 Correct 23 ms 20168 KB Output is correct
22 Correct 18 ms 20052 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 226 ms 54700 KB Output is correct
2 Correct 249 ms 55244 KB Output is correct
3 Correct 218 ms 55556 KB Output is correct
4 Correct 318 ms 56120 KB Output is correct
5 Correct 451 ms 53572 KB Output is correct
6 Correct 18 ms 20672 KB Output is correct
7 Correct 18 ms 20436 KB Output is correct
8 Correct 19 ms 20480 KB Output is correct
9 Correct 572 ms 49396 KB Output is correct
10 Correct 460 ms 49092 KB Output is correct
11 Correct 446 ms 49224 KB Output is correct
12 Correct 520 ms 48468 KB Output is correct
13 Correct 403 ms 69100 KB Output is correct
14 Correct 394 ms 71612 KB Output is correct
15 Correct 455 ms 71616 KB Output is correct
16 Correct 404 ms 71616 KB Output is correct
17 Correct 402 ms 71616 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 849 ms 50492 KB Output is correct
2 Correct 913 ms 54868 KB Output is correct
3 Correct 918 ms 54964 KB Output is correct
4 Correct 846 ms 55084 KB Output is correct
5 Correct 1006 ms 53644 KB Output is correct
6 Correct 891 ms 54788 KB Output is correct
7 Correct 692 ms 39332 KB Output is correct
8 Correct 651 ms 39332 KB Output is correct
9 Correct 896 ms 54984 KB Output is correct
10 Correct 904 ms 55176 KB Output is correct
11 Correct 914 ms 55028 KB Output is correct
12 Correct 675 ms 39312 KB Output is correct
13 Correct 471 ms 35056 KB Output is correct
14 Correct 605 ms 37092 KB Output is correct
15 Correct 590 ms 37696 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 188 ms 49040 KB Output is correct
2 Correct 174 ms 49084 KB Output is correct
3 Correct 199 ms 49012 KB Output is correct
4 Correct 171 ms 49012 KB Output is correct
5 Correct 154 ms 45084 KB Output is correct
6 Correct 17 ms 20500 KB Output is correct
7 Correct 17 ms 20284 KB Output is correct
8 Correct 17 ms 20308 KB Output is correct
9 Correct 187 ms 41396 KB Output is correct
10 Correct 204 ms 41388 KB Output is correct
11 Correct 184 ms 41448 KB Output is correct
12 Correct 186 ms 40488 KB Output is correct
13 Correct 173 ms 47232 KB Output is correct
14 Correct 15 ms 19924 KB Output is correct
15 Correct 16 ms 19924 KB Output is correct
16 Correct 16 ms 19924 KB Output is correct
17 Correct 16 ms 19924 KB Output is correct
18 Correct 17 ms 20052 KB Output is correct
19 Correct 20 ms 20180 KB Output is correct
20 Correct 24 ms 20256 KB Output is correct
21 Correct 20 ms 20228 KB Output is correct
22 Correct 23 ms 20472 KB Output is correct
23 Correct 22 ms 20460 KB Output is correct
24 Correct 22 ms 20472 KB Output is correct
25 Correct 20 ms 20436 KB Output is correct
26 Correct 23 ms 20388 KB Output is correct
27 Correct 22 ms 20436 KB Output is correct
28 Correct 23 ms 20708 KB Output is correct
29 Correct 26 ms 20432 KB Output is correct
30 Correct 25 ms 20492 KB Output is correct
31 Correct 20 ms 20116 KB Output is correct
32 Correct 26 ms 20448 KB Output is correct
33 Correct 20 ms 20180 KB Output is correct
34 Correct 23 ms 20168 KB Output is correct
35 Correct 18 ms 20052 KB Output is correct
36 Correct 226 ms 54700 KB Output is correct
37 Correct 249 ms 55244 KB Output is correct
38 Correct 218 ms 55556 KB Output is correct
39 Correct 318 ms 56120 KB Output is correct
40 Correct 451 ms 53572 KB Output is correct
41 Correct 18 ms 20672 KB Output is correct
42 Correct 18 ms 20436 KB Output is correct
43 Correct 19 ms 20480 KB Output is correct
44 Correct 572 ms 49396 KB Output is correct
45 Correct 460 ms 49092 KB Output is correct
46 Correct 446 ms 49224 KB Output is correct
47 Correct 520 ms 48468 KB Output is correct
48 Correct 403 ms 69100 KB Output is correct
49 Correct 394 ms 71612 KB Output is correct
50 Correct 455 ms 71616 KB Output is correct
51 Correct 404 ms 71616 KB Output is correct
52 Correct 402 ms 71616 KB Output is correct
53 Correct 849 ms 50492 KB Output is correct
54 Correct 913 ms 54868 KB Output is correct
55 Correct 918 ms 54964 KB Output is correct
56 Correct 846 ms 55084 KB Output is correct
57 Correct 1006 ms 53644 KB Output is correct
58 Correct 891 ms 54788 KB Output is correct
59 Correct 692 ms 39332 KB Output is correct
60 Correct 651 ms 39332 KB Output is correct
61 Correct 896 ms 54984 KB Output is correct
62 Correct 904 ms 55176 KB Output is correct
63 Correct 914 ms 55028 KB Output is correct
64 Correct 675 ms 39312 KB Output is correct
65 Correct 471 ms 35056 KB Output is correct
66 Correct 605 ms 37092 KB Output is correct
67 Correct 590 ms 37696 KB Output is correct
68 Correct 15 ms 20052 KB Output is correct
69 Correct 15 ms 19892 KB Output is correct
70 Correct 672 ms 62616 KB Output is correct
71 Correct 684 ms 62536 KB Output is correct
72 Correct 670 ms 62600 KB Output is correct
73 Correct 702 ms 62588 KB Output is correct
74 Correct 703 ms 62440 KB Output is correct
75 Correct 670 ms 58872 KB Output is correct
76 Correct 981 ms 54936 KB Output is correct
77 Correct 952 ms 54568 KB Output is correct
78 Correct 908 ms 53656 KB Output is correct
79 Correct 716 ms 58736 KB Output is correct
80 Correct 726 ms 57276 KB Output is correct
81 Correct 738 ms 58168 KB Output is correct
82 Correct 747 ms 48992 KB Output is correct
83 Correct 435 ms 55576 KB Output is correct
84 Correct 432 ms 54928 KB Output is correct
85 Correct 442 ms 54828 KB Output is correct