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#297524#4780. 完美的队列jrjyy100 ✓1903ms83540kbC++206.8kb2024-01-04 17:54:472024-01-04 17:54:47

Judging History

你现在查看的是最新测评结果

  • [2024-01-04 17:54:47]
  • 评测
  • 测评结果:100
  • 用时:1903ms
  • 内存:83540kb
  • [2024-01-04 17:54:47]
  • 提交

answer

#include <bits/stdc++.h>

using i64 = long long;

template <typename Info, typename Tag>
struct LazySegmentTree {
    int n;
    std::vector<Info> s;
    std::vector<Tag> t;

    LazySegmentTree() = default;
    LazySegmentTree(int n_, const Info &v = Info{}) {
        init(n_, v);
    }
    template <typename T>
    LazySegmentTree(const std::vector<T> &v) {
        init(v);
    }
    void init(int n_, const Info &v = Info{}) {
        init(std::vector<Info>(n_, v));
    }
    template <typename T>
    void init(const std::vector<T> &v) {
        n = int(v.size());
        s.assign(4 << std::__lg(n), Info{});
        t.assign(4 << std::__lg(n), Tag{});
        auto build = [&](auto self, int u, int l, int r) -> void {
            if (r - l == 1) {
                s[u] = v[l];
                return;
            }
            int m = (l + r) / 2;
            self(self, u << 1, l, m);
            self(self, u << 1 | 1, m, r);
            pull(u);
        };
        build(build, 1, 0, n);
    }

    void pull(int u) {
        s[u] = s[u << 1] + s[u << 1 | 1];
    }
    void apply(int u, const Tag &v) {
        s[u].apply(v);
        t[u].apply(v);
    }
    void push(int u) {
        apply(u << 1, t[u]);
        apply(u << 1 | 1, t[u]);
        t[u] = Tag{};
    }

    void modify(int u, int l, int r, int p, const Info &v) {
        if (r - l == 1) {
            s[u] = v;
            return;
        }
        int m = (l + r) / 2;
        push(u);
        if (p < m) {
            modify(u << 1, l, m, p, v);
        } else {
            modify(u << 1 | 1, m, r, p, v);
        }
        pull(u);
    }
    void modify(int p, const Info &v) {
        modify(1, 0, n, p, v);
    }

    Info query(int u, int l, int r, int p) {
        if (r - l == 1) {
            return s[u];
        }
        int m = (l + r) / 2;
        push(u);
        if (p < m) {
            return query(u << 1, l, m, p);
        } else {
            return query(u << 1 | 1, m, r, p);
        }
    }
    Info query(int p) {
        return query(1, 0, n, p);
    }

    Info rangeQuery(int u, int l, int r, int ql, int qr) {
        if (qr <= l || r <= ql) {
            return Info{};
        }
        if (ql <= l && r <= qr) {
            return s[u];
        }
        int m = (l + r) / 2;
        push(u);
        return rangeQuery(u << 1, l, m, ql, qr) + rangeQuery(u << 1 | 1, m, r, ql, qr);
    }
    Info rangeQuery(int ql, int qr) {
        return rangeQuery(1, 0, n, ql, qr);
    }

    void rangeApply(int u, int l, int r, int ql, int qr, const Tag &v) {
        if (qr <= l || r <= ql) {
            return;
        }
        if (ql <= l && r <= qr) {
            apply(u, v);
            return;
        }
        int m = (l + r) / 2;
        push(u);
        rangeApply(u << 1, l, m, ql, qr, v);
        rangeApply(u << 1 | 1, m, r, ql, qr, v);
        pull(u);
    }
    void rangeApply(int ql, int qr, const Tag &v) {
        rangeApply(1, 0, n, ql, qr, v);
    }

    template <typename F>
    void applyFunction(int u, int l, int r, int p, F &&f) {
        if (r - l == 1) {
            f(s[u]);
            return;
        }
        int m = (l + r) / 2;
        push(u);
        if (p < m) {
            applyFunction(u << 1, l, m, p, f);
        } else {
            applyFunction(u << 1 | 1, m, r, p, f);
        }
        pull(u);
    }
    template <typename F>
    void applyFunction(int p, F &&f) {
        applyFunction(1, 0, n, p, f);
    }
};

constexpr int inf = 1e9;
constexpr int B = 64;

struct Tag {
    int v = 0;
    void apply(const Tag &b) {
        v += b.v;
    }
};

struct Info {
    int x = -inf;
    std::pair<int, int> y{inf, -1};
    void apply(const Tag &b) {
        x += b.v;
        y.first += b.v;
    }
};
Info operator+(const Info &a, const Info &b) {
    return Info{std::max(a.x, b.x), std::min(a.y, b.y)};
}

int main() {
    std::cin.tie(nullptr)->sync_with_stdio(false);

    int n, q;
    std::cin >> n >> q;

    std::vector<int> a(n);
    for (int i = 0; i < n; ++i) {
        std::cin >> a[i];
    }

    std::vector<std::tuple<int, int, int>> qry;
    int m = 0;
    for (int i = 0; i < q; ++i) {
        int l, r, x;
        std::cin >> l >> r >> x;
        --l, --x;
        m = std::max(m, x + 1);
        qry.emplace_back(l, r, x);
    }

    std::vector<int> f(q);
    std::vector<std::vector<std::pair<int, int>>> que(n);
    std::vector<int> qhead(n);
    for (int bl = 0, br = 0; bl < n; bl = br) {
        br = std::min(bl + B, n);

        std::vector<int> val;
        int head = 0;
        LazySegmentTree<Info, Tag> seg(br - bl);
        for (int i = bl; i < br; ++i) {
            seg.modify(i - bl, Info{a[i], {inf, i}});
        }
        auto update = [&](int p, int x) {
            seg.applyFunction(p - bl, [&](Info &v) {
                v.x += x;
                v.y.first = qhead[p] == int(que[p].size()) ? inf : v.x + que[p][qhead[p]].second;
            });
        };
        for (int o = 0; o < q; ++o) {
            auto [l, r, x] = qry[o];
            if (br <= l || r <= bl) {
                continue;
            }
            l = std::max(l, bl);
            r = std::min(r, br);

            seg.rangeApply(l - bl, r - bl, Tag{-1});
            if (l == bl && r == br) {
                val.push_back(o);
            } else {
                for (int i = l; i < r; ++i) {
                    que[i].emplace_back(o, int(val.size()));
                    if (int(que[i].size()) == qhead[i] + 1) {
                        update(i, 0);
                    }
                }
            }

            while (seg.s[1].y.first - head < 0) {
                int p = seg.s[1].y.second;
                int t = que[p][qhead[p]++].first;
                f[t] = std::max(f[t], o);
                update(p, 1);
            }
            if (seg.s[1].x < 0) {
                int t = val[head++];
                f[t] = std::max(f[t], o);
                seg.apply(1, Tag{1});
            }
        }

        for (int i = head; i < int(val.size()); ++i) {
            f[val[i]] = q;
        }
    }
    for (int p = 0; p < n; ++p) {
        for (int i = qhead[p]; i < int(que[p].size()); ++i) {
            f[que[p][i].first] = q;
        }
    }

    std::vector<int> s(m, -1);
    std::vector<std::vector<int>> mdf(q + 1);
    int ans = 0;
    for (int i = 0; i < q; ++i) {
        auto [l, r, x] = qry[i];
        if (s[x] < f[i]) {
            if (s[x] < i) {
                ++ans;
            }
            s[x] = f[i];
            mdf[f[i]].push_back(x);
        }
        for (auto c : mdf[i]) {
            if (s[c] <= i) {
                --ans;
            }
        }
        std::cout << ans << "\n";
    }

    return 0;
}

详细

Subtask #1:

score: 5
Accepted

Test #1:

score: 5
Accepted
time: 24ms
memory: 7456kb

input:

5000 4999
99 36 47 78 58 58 64 12 42 54 29 56 57 32 99 21 1 6 42 97 82 8 79 92 3 56 19 41 29 59 23 34 76 34 82 20 44 51 60 73 89 65 51 65 15 87 65 70 51 26 40 95 44 62 97 81 43 13 20 81 76 64 47 95 54 56 99 62 91 63 98 58 70 60 47 97 31 74 76 70 10 30 99 33 52 100 14 65 4 6 87 4 8 1 8 87 18 70 76 43...

output:

1
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96
97
98
99
100
10...

result:

ok 4999 numbers

Subtask #2:

score: 5
Accepted

Dependency #1:

100%
Accepted

Test #2:

score: 5
Accepted
time: 63ms
memory: 11260kb

input:

9999 10000
60 75 4 70 26 87 8 77 16 6 20 88 95 44 60 10 71 93 68 33 30 71 21 19 88 61 26 93 21 83 35 83 25 72 33 75 40 14 92 54 10 42 60 93 73 82 13 50 50 25 99 16 68 38 78 14 4 1 58 72 2 96 69 57 43 71 68 100 5 49 50 58 50 61 53 22 88 55 95 37 67 96 50 46 55 97 84 28 62 56 44 35 80 5 59 45 50 14 48...

output:

1
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100
101
102
...

result:

ok 10000 numbers

Subtask #3:

score: 5
Accepted

Dependency #2:

100%
Accepted

Test #3:

score: 5
Accepted
time: 112ms
memory: 15400kb

input:

15000 15000
8 2 78 69 72 23 22 79 69 75 63 19 90 94 45 5 1 44 53 34 80 80 26 43 9 86 85 38 71 88 90 2 22 46 60 7 14 18 77 44 5 80 80 48 9 51 38 49 7 2 73 64 67 84 44 7 53 9 84 21 90 35 69 46 5 74 27 73 78 91 10 68 50 5 98 55 17 99 99 81 38 20 99 81 91 19 87 26 71 19 49 44 70 29 5 33 21 49 75 5 79 84...

output:

1
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100
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102
...

result:

ok 15000 numbers

Subtask #4:

score: 5
Accepted

Dependency #3:

100%
Accepted

Test #4:

score: 5
Accepted
time: 161ms
memory: 19244kb

input:

20000 20000
96 95 34 72 28 92 86 48 37 22 76 41 18 23 56 52 32 48 37 96 75 17 69 22 81 79 60 82 79 12 69 15 58 79 7 7 63 70 58 69 68 18 96 29 69 70 4 7 75 27 18 44 49 53 89 15 10 97 75 58 52 54 65 91 48 33 5 91 59 12 2 6 30 99 79 45 91 14 36 15 98 88 11 73 98 3 8 22 45 41 42 71 31 29 16 44 72 100 57...

output:

1
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100
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102
...

result:

ok 20000 numbers

Subtask #5:

score: 5
Accepted

Test #5:

score: 5
Accepted
time: 228ms
memory: 23620kb

input:

25000 25000
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

output:

1
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6
6
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9
4
5...

result:

ok 25000 numbers

Subtask #6:

score: 5
Accepted

Dependency #4:

100%
Accepted

Dependency #5:

100%
Accepted

Test #6:

score: 5
Accepted
time: 290ms
memory: 27200kb

input:

30000 30000
68 5 42 87 7 80 19 79 72 80 13 85 83 48 90 63 4 37 40 96 77 7 16 94 52 72 28 84 30 15 46 65 45 62 55 51 11 89 57 61 52 41 25 10 72 94 38 68 79 97 56 89 15 11 78 5 10 36 13 11 9 25 46 3 50 98 100 86 23 56 59 38 12 29 50 94 73 7 7 59 74 4 98 21 42 1 37 35 12 67 2 7 37 17 19 60 91 64 57 95 ...

output:

1
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102
...

result:

ok 30000 numbers

Subtask #7:

score: 5
Accepted

Test #7:

score: 5
Accepted
time: 382ms
memory: 31708kb

input:

34999 35000
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...

output:

1
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11
7
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18
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21
20
20
19
20
21
2...

result:

ok 35000 numbers

Subtask #8:

score: 5
Accepted

Dependency #6:

100%
Accepted

Dependency #7:

100%
Accepted

Test #8:

score: 5
Accepted
time: 413ms
memory: 35676kb

input:

40000 40000
17 23 52 38 20 94 83 41 49 13 61 29 39 58 31 87 29 63 23 94 63 95 78 64 8 3 72 67 30 54 51 34 1 97 52 6 8 64 68 97 2 63 12 30 43 2 46 86 56 58 58 36 3 89 49 79 37 38 57 15 45 3 55 76 60 76 92 51 7 15 5 34 87 31 67 24 6 52 31 95 23 58 59 44 74 77 92 7 21 50 10 76 84 21 34 95 2 5 59 61 18 ...

output:

1
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86
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98
99
100
101
1...

result:

ok 40000 numbers

Subtask #9:

score: 5
Accepted

Test #9:

score: 5
Accepted
time: 568ms
memory: 39972kb

input:

45000 45000
10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 ...

output:

1
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49
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51
52
51
51
50
50
51
52
52
52
52
52
53
...

result:

ok 45000 numbers

Subtask #10:

score: 5
Accepted

Dependency #8:

100%
Accepted

Dependency #9:

100%
Accepted

Test #10:

score: 5
Accepted
time: 613ms
memory: 43480kb

input:

50000 50000
93 35 69 99 23 3 93 39 95 53 2 59 1 25 67 8 73 72 65 33 60 11 96 99 40 56 88 72 32 60 48 49 42 63 75 50 35 80 34 46 38 54 71 36 81 52 46 32 19 54 10 20 36 29 4 83 93 3 72 21 37 1 30 48 32 99 91 65 12 27 13 81 11 59 22 89 90 6 30 15 62 91 8 2 38 98 57 77 62 93 86 17 95 97 73 11 16 2 28 87...

output:

1
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85
86
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90
91
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93
94
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96
97
98
99
100
101
1...

result:

ok 50000 numbers

Subtask #11:

score: 5
Accepted

Dependency #5:

100%
Accepted

Dependency #7:

100%
Accepted

Dependency #9:

100%
Accepted

Test #11:

score: 5
Accepted
time: 812ms
memory: 47888kb

input:

54444 55000
3 5 10 6 4 10 10 6 2 10 5 2 6 9 10 6 5 9 3 4 7 6 9 1 1 2 6 10 5 2 6 3 10 3 4 7 3 3 3 5 9 2 2 8 6 10 6 9 1 1 3 2 6 8 9 3 10 4 10 5 6 5 7 6 9 4 7 4 10 8 5 10 1 5 8 4 4 5 9 3 9 3 2 1 2 7 5 10 3 4 6 10 4 8 6 9 6 6 6 8 8 3 3 2 9 9 7 3 8 9 4 4 3 5 10 5 10 6 7 2 10 1 1 10 6 1 6 3 7 1 8 7 9 4 5 ...

output:

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...

result:

ok 55000 numbers

Subtask #12:

score: 5
Accepted

Dependency #11:

100%
Accepted

Test #12:

score: 5
Accepted
time: 810ms
memory: 51588kb

input:

60000 60000
55 3 74 22 46 71 40 1 41 52 27 48 31 19 84 36 89 45 7 36 91 41 79 43 43 64 58 6 80 80 66 52 60 58 47 84 31 11 74 43 74 23 79 31 45 17 85 49 53 96 45 92 59 30 30 15 59 63 52 47 17 10 72 91 8 29 1 74 86 100 91 13 85 77 79 34 10 83 76 54 52 63 5 76 45 62 80 47 21 46 36 12 9 93 28 50 86 43 9...

output:

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...

result:

ok 60000 numbers

Subtask #13:

score: 5
Accepted

Test #13:

score: 5
Accepted
time: 1058ms
memory: 56036kb

input:

65000 65000
5 7 8 6 3 6 8 7 2 3 5 10 9 9 4 3 9 1 2 9 1 1 6 10 1 10 5 4 7 1 9 6 6 8 10 5 8 3 2 5 2 3 6 8 7 3 2 3 6 5 1 10 6 2 4 7 8 1 3 3 5 4 2 5 2 5 3 3 6 7 6 9 5 3 10 3 6 2 8 10 9 10 2 5 4 10 3 3 6 3 5 7 141 3 6 3 10 2 7 6 3 5 9 4 10 1 3 9 9 8 2 5 10 1 7 1 8 5 3 3 7 7 9 7 4 1 9 2 2 4 8 6 10 5 7 3 3...

output:

1
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...

result:

ok 65000 numbers

Subtask #14:

score: 5
Accepted

Dependency #12:

100%
Accepted

Dependency #13:

100%
Accepted

Test #14:

score: 5
Accepted
time: 1044ms
memory: 59884kb

input:

70000 70000
54 42 81 48 90 100 68 36 70 5 93 14 38 37 27 29 66 51 92 69 40 74 70 59 69 85 38 24 24 83 53 66 58 69 26 5 31 19 34 19 92 31 80 65 39 22 61 44 18 84 69 4 28 81 60 16 54 90 10 44 63 100 52 10 65 14 28 42 25 46 89 82 67 92 61 15 40 87 72 49 31 57 52 71 16 27 28 33 96 11 75 12 35 1 23 93 80...

output:

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...

result:

ok 70000 numbers

Subtask #15:

score: 5
Accepted

Dependency #13:

100%
Accepted

Test #15:

score: 5
Accepted
time: 1314ms
memory: 64204kb

input:

75000 75000
1 8 2 4 4 7 1 2 5 4 1 3 2 4 2 2 3 3 3 6 1 4 8 5 3 6 8 3 9 4 5 5 3 6 9 2 9 6 1 4 2 8 5 8 2 7 4 3 4 4 1 9 4 5 8 1 4 8 6 5 8 6 6 5 4 7 6 3 3 6 6 4 7 4 4 1 9 6 6 4 6 4 1 9 7 3 4 7 7 5 9 9 7 3 5 9 7 3 5 7 3 8 6 2 6 2 8 8 8 6 9 5 1 3 3 2 9 7 6 8 2 3 4 6 7 4 8 1 4 5 5 7 7 4 5 8 9 6 2 1225 7 9 6...

output:

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1...

result:

ok 75000 numbers

Subtask #16:

score: 5
Accepted

Dependency #14:

100%
Accepted

Dependency #15:

100%
Accepted

Test #16:

score: 5
Accepted
time: 1313ms
memory: 67696kb

input:

80000 80000
36 90 42 28 58 80 90 68 41 93 51 46 31 59 94 62 17 48 63 27 64 83 69 43 81 1 4 32 98 57 38 56 83 21 6 95 29 63 44 88 74 45 75 75 51 45 89 33 37 50 3 11 1 69 66 87 12 44 11 90 4 66 17 97 37 21 89 11 84 71 53 60 11 63 34 86 99 61 60 79 37 24 50 15 2 88 11 16 79 36 70 89 81 41 55 51 18 99 8...

output:

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...

result:

ok 80000 numbers

Subtask #17:

score: 5
Accepted

Dependency #16:

100%
Accepted

Test #17:

score: 5
Accepted
time: 1449ms
memory: 71988kb

input:

85000 85000
35 30 17 21 1 8 55 71 93 22 77 80 62 1 37 55 95 53 83 60 49 83 84 34 32 90 17 51 65 29 57 71 89 32 18 16 5 39 36 8 92 53 99 85 81 18 42 72 2 74 51 15 34 12 20 76 8 39 2 64 5 81 64 80 94 31 92 47 91 10 19 98 85 21 16 66 38 20 24 98 80 19 29 43 81 85 82 46 22 65 41 89 75 49 50 70 88 2 85 5...

output:

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...

result:

ok 85000 numbers

Subtask #18:

score: 5
Accepted

Dependency #17:

100%
Accepted

Test #18:

score: 5
Accepted
time: 1596ms
memory: 75520kb

input:

90000 90000
81 45 45 33 1 89 77 35 65 10 35 12 63 23 72 87 69 19 55 63 29 36 84 42 44 46 58 3 15 35 41 29 81 85 21 81 3 91 81 77 75 23 26 95 26 65 62 62 22 15 53 54 76 100 26 47 66 49 71 10 22 47 29 67 10 70 77 48 14 35 39 44 29 84 57 61 97 26 12 59 98 10 51 11 67 77 10 17 37 90 4 99 45 89 37 95 26 ...

output:

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...

result:

ok 90000 numbers

Subtask #19:

score: 5
Accepted

Dependency #18:

100%
Accepted

Test #19:

score: 5
Accepted
time: 1742ms
memory: 79584kb

input:

95000 95000
48 85 52 2 4 17 29 38 93 62 69 46 27 9 15 57 15 24 39 96 14 93 99 34 94 27 95 21 83 38 60 7 80 28 33 95 3 67 29 53 69 7 95 37 31 6 14 33 86 3 77 3 9 83 24 4 29 45 5 39 92 37 85 86 99 48 48 84 22 81 12 38 80 74 71 42 36 30 32 23 41 4 30 7 38 42 81 47 88 32 75 98 71 97 33 39 21 33 35 87 91...

output:

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...

result:

ok 95000 numbers

Subtask #20:

score: 5
Accepted

Dependency #19:

100%
Accepted

Test #20:

score: 5
Accepted
time: 1903ms
memory: 83540kb

input:

100000 100000
15 56 36 27 48 45 25 41 22 91 96 12 58 50 99 18 25 5 92 29 31 57 14 50 84 15 99 71 15 66 79 21 54 38 76 84 79 74 21 30 87 60 95 71 25 87 67 72 59 60 1 39 33 58 78 37 56 80 96 13 61 27 33 38 88 33 7 20 29 84 10 7 86 32 53 23 42 65 29 75 44 99 9 70 18 31 93 9 62 29 38 98 65 73 28 58 15 4...

output:

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...

result:

ok 100000 numbers