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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#449874#7561. Digit DPpandapythonerWA 324ms5232kbC++204.2kb2024-06-21 18:35:532024-06-21 18:35:53

Judging History

你现在查看的是最新测评结果

  • [2024-06-21 18:35:53]
  • 评测
  • 测评结果:WA
  • 用时:324ms
  • 内存:5232kb
  • [2024-06-21 18:35:53]
  • 提交

answer

#include <bits/stdc++.h>


using namespace std;

#define lll __int128_t
#define ll long long
#define flt double
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define rep(i, n) for(int i = 0; i < n; i += 1)


mt19937 rnd(234);
const ll mod = 998244353;


istream& operator>>(istream& in, lll& a) {
    string s;
    in >> s;
    int n = (int)s.size();
    a = 0;
    rep(i, n) if (s[i] == '1') a += (1 << (n - i - 1));
    return in;
}


ll bin_pow(ll x, ll n) {
    if (n == 0) {
        return 1;
    }
    ll a = bin_pow(x, n / 2);
    a = (a * a) % mod;
    if (n & 1) {
        a = (a * x) % mod;
    }
    return a;
}


ll rev(ll a) {
    return bin_pow(a, mod - 2);
}

const ll rv2 = rev(2);
const ll rv3 = rev(3);

int n, q;
lll m;
vector<ll> a;


struct counter {
    ll cnt = 0, s1 = 0, s2 = 0, s3 = 0;

    counter() {}
    counter(ll cnt, ll s1, ll s2, ll s3) : cnt(cnt% mod), s1(s1% mod), s2(s2% mod), s3(s3% mod) {}

    void add(ll d) {
        ll d2 = (d * d) % mod;
        ll d3 = (d2 * d) % mod;
        s3 = (s3 + 3 * s2 * d % mod + 3 * s1 * d2 % mod + cnt * d3 % mod) % mod;
        s2 = (s2 + 2 * s1 * d % mod + cnt * d2 % mod) % mod;
        s1 = (s1 + cnt * d) % mod;
    }


    ll get_triplets() {
        ll rs = s1 * s1 % mod * s1 % mod;
        rs = (rs + mod - s3) % mod;
        ll bad = (s1 * s2 + mod - s3) % mod;
        rs = (rs + 3 * mod - 3 * bad) % mod;
        rs = rs * rv2 % mod * rv3 % mod;
        return rs;
    }
};


counter operator+(const counter& a, const counter& b) {
    return counter(a.cnt + b.cnt, a.s1 + b.s1, a.s2 + b.s2, a.s3 + b.s3);
}


vector<counter> counters;


struct node {
    int depth;
    counter c;
    ll d = 0;
    int l = -1;
    int r = -1;

    node(int _depth) {
        depth = _depth;
        c = counters[depth];
    }

    void apply(ll x) {
        c.add(x);
        d = (d + x) % mod;
    }
};


vector<node> t;


int new_node(int depth) {
    int v = (int)t.size();
    t.push_back(node(depth));
    return v;
}

void upd(int v) {
    if (t[v].l == -1 || t[v].r == -1) {
        return;
    }
    auto x = t[t[v].l].c;
    auto y = t[t[v].r].c;
    y.add(a[t[v].depth]);
    t[v].c = x + y;
}


void push(int v) {
    assert(t[v].depth < n);
    if (t[v].l == -1 || t[v].r == -1) {
        t[v].l = new_node(t[v].depth + 1);
        t[v].r = new_node(t[v].depth + 1);
    }
    t[t[v].l].apply(t[v].d);
    t[t[v].r].apply(t[v].d);
    t[v].d = 0;
}

counter get(int v, lll tl, lll tr, lll l, lll r) {
    if (tr < l or r < tl) {
        return counter();
    }
    if (l <= tl and tr <= r) {
        return t[v].c;
    }
    lll tm = (tl + tr) / 2;
    push(v);
    return get(t[v].l, tl, tm, l, r) + get(t[v].r, tm + 1, tr, l, r);
}


void add(int v, lll tl, lll tr, lll l, lll r, ll x) {
    if (tr < l or r < tl) {
        return;
    }
    if (l <= tl and tr <= r) {
        t[v].apply(x);
        return;
    }
    lll tm = (tl + tr) / 2;
    push(v);
    add(t[v].l, tl, tm, l, r, x);
    add(t[v].r, tm + 1, tr, l, r, x);
    upd(v);
}

int32_t main() {
    cin >> n >> q;
    a.resize(n);
    for (int i = 0; i < n; i += 1) {
        cin >> a[i];
    }
    reverse(all(a));
    counters.resize(n + 1);
    counters[n] = counter(1, 0, 0, 0);
    for (int i = n - 1; i >= 0; i -= 1) {
        auto x = counters[i + 1];
        auto y = x;
        y.add(a[i]);
        counters[i] = x + y;
    }
    t = { node(0) };
    m = 1;
    for (int i = 0; i < n; i += 1) {
        m *= 2;
    }
    for (int itr = 0; itr < q; itr += 1) {
        int t;
        cin >> t;
        if (t == 1) {
            lll l, r;
            ll x;
            cin >> l >> r >> x;
            add(0, 0, m - 1, l, r, x);
        } else if (t == 2) {
            lll l, r;
            cin >> l >> r;
            auto f = get(0, 0, m - 1, l, r);
            // cerr << f.cnt << " " << f.s1 << " " << f.s2 << " " << f.s3 << "\n";
            cout << f.get_triplets() << "\n";
        }
    }
    return 0;
}

/*
3 3
1 2 4
2 000 111
1 010 101 1
2 000 111


*/

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3616kb

input:

3 3
1 2 4
2 000 111
1 010 101 1
2 000 111

output:

1960
3040

result:

ok 2 number(s): "1960 3040"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

2 2
1 1
2 00 10
2 00 11

output:

0
2

result:

ok 2 number(s): "0 2"

Test #3:

score: -100
Wrong Answer
time: 324ms
memory: 5232kb

input:

99 49952
470888 74578 802746 396295 386884 721198 628655 722503 207868 647942 87506 792718 761498 917727 843338 908043 952768 268783 375312 414369 319712 96230 277106 168102 263554 936674 246545 667941 198849 268921 191459 436316 134606 802932 515506 837311 465964 394766 17626 650419 984050 790137 4...

output:

874601870
0
837594141
0
0
133304383
809999680
0
0
0
0
108225175
0
0
371544787
0
292962055
978396962
0
0
0
0
610441466
554318655
941859631
759322701
0
0
0
358884090
916275601
442222835
0
474503794
0
0
0
0
0
743090154
0
0
866475164
830623421
0
0
0
987574405
447048851
0
392725639
0
0
0
0
590890676
0
76...

result:

wrong answer 1st numbers differ - expected: '413449847', found: '874601870'