Submission #825617

#	Time	Username	Problem	Language	Result	Execution time	Memory
825617		Koyote	Sterilizing Spray (JOI15_sterilizing)	C++14	100 / 100	374 ms	48004 KiB

sterilizing

#include <bits/stdc++.h>
using namespace std;

template <class S, S (*op)(S, S), S (*e)(),
          class F, S (*mapping)(F, S), F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
  public:
    lazy_segtree() : lazy_segtree(0) {}
    lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
    lazy_segtree(const std::vector<S>& v) : _n(int(v.size())) {
        log = lazy_segtree<S, op, e, F, mapping, composition, id>::ceil_pow2(_n);
        size = 1 << log;
        d = std::vector<S>(2 * size, e());
        lz = std::vector<F>(size, id());
        for (int i = 0; i < _n; i++) d[size + i] = v[i];
        for (int i = size - 1; i >= 1; i--) update(i);
    }

    void set(int p, S x) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        d[p] = x;
        for (int i = 1; i <= log; i++) update(p >> i);
    }

    S get(int p) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        return d[p];
    }

    S prod(int l, int r) {
        assert(0 <= l && l <= r && r <= _n);
        if (l == r) return e();

        l += size, r += size;
        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push(r >> i);
        }

        S sml = e(), smr = e();
        while (l < r) {
            if (l & 1) sml = op(sml, d[l++]);
            if (r & 1) smr = op(d[--r], smr);
            l >>= 1, r >>= 1;
        }

        return op(sml, smr);
    }

    S all_prod() { return d[1]; }

    void apply(int p, F f) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        d[p] = mapping(f, d[p]);
        for (int i = 1; i <= log; i++) update(p >> i);
    }
    void apply(int l, int r, F f) {
        assert(0 <= l && l <= r && r <= _n);
        if (l == r) return;

        l += size, r += size;
        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push((r - 1) >> i);
        }

        {
            int l2 = l, r2 = r;
            while (l < r) {
                if (l & 1) all_apply(l++, f);
                if (r & 1) all_apply(--r, f);
                l >>= 1, r >>= 1;
            }
            l = l2, r = r2;
        }

        for (int i = 1; i <= log; i++) {
            if (((l >> i) << i) != l) update(l >> i);
            if (((r >> i) << i) != r) update((r - 1) >> i);
        }
    }

  private:
    static int ceil_pow2(int n) {
        int x = 0;
        while ((1U << x) < (unsigned int)(n)) x++;
        return x;
    }
    int _n, size, log;
    std::vector<S> d;
    std::vector<F> lz;

    void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
    void all_apply(int k, F f) {
        d[k] = mapping(f, d[k]);
        if (k < size) lz[k] = composition(f, lz[k]);
    }
    void push(int k) {
        all_apply(2 * k, lz[k]);
        all_apply(2 * k + 1, lz[k]);
        lz[k] = id();
    }
};

using S1 = int64_t;
struct F1 {};
S1 op1(S1 x, S1 y) { return x + y; }
S1 e1() { return 0LL; }
S1 mapping1(F1 f, S1 x) { (void)f; return x; }
F1 composition1(F1 f, F1 g) { (void)g; return f; }
F1 id1() { return F1{}; }

const int BASE_LENGTH = 33;
typedef array<int, BASE_LENGTH> int_baseK;
int K;

int64_t to_ll(const int_baseK &x) {
    int64_t res = 0;
    for (int i = BASE_LENGTH - 1; i >= 0; i--)
        res = res * K + x[i];
    return res;
}

int_baseK to_baseK(int64_t x) {
    int i = 0;
    int_baseK res{};
    while (x) res[i++] = x % K, x /= K;
    return res;
}

using S2 = int_baseK;
struct F2 { int c; };
S2 op2(S2 x, S2 y) {
    S2 res{};
    for (int i = 0; i < BASE_LENGTH; i++) res[i] = x[i] + y[i];
    return res;
}
S2 e2() { return int_baseK{}; }
S2 mapping2(F2 f, S2 x) { 
    S2 res{};
    for (int i = 0; i + f.c < BASE_LENGTH; i++) res[i] = x[i + f.c];
    return res;
}
F2 composition2(F2 f, F2 g) { return F2{f.c + g.c}; }
F2 id2() { return F2{0}; }

int main() {
    cin.tie(nullptr)->sync_with_stdio(false);
    int n, q; cin >> n >> q >> K;
    if (K == 1) {
        vector<S1> c(n); for (auto &i : c) cin >> i;
        lazy_segtree<S1, op1, e1, F1, mapping1, composition1, id1> segtree(c);
        while (q--) {
            int s, t, u; cin >> s >> t >> u; --t;
            if (s == 1) segtree.set(t, u);
            if (s == 3) cout << segtree.prod(t, u) << '\n';
        }
        return 0;
    }
    vector<S2> c(n);
    for (auto &it : c) {
        int64_t x; cin >> x;
        it = to_baseK(x);
    }
    lazy_segtree<S2, op2, e2, F2, mapping2, composition2, id2> segtree(c);
    while (q--) {
        int s, t, u; cin >> s >> t >> u; --t;
        if (s == 1) segtree.set(t, to_baseK(u));
        if (s == 2) segtree.apply(t, u, F2{1});
        if (s == 3) cout << to_ll(segtree.prod(t, u)) << '\n';
    }
}

• Subtask 1: 5 / 5
• Subtask 2: 10 / 10
• Subtask 3: 10 / 10
• Subtask 4: 75 / 75