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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#616501#7787. Maximum RatingKdlyhWA 1ms3796kbC++208.0kb2024-10-06 06:47:112024-10-06 06:47:15

Judging History

你现在查看的是最新测评结果

  • [2024-10-06 06:47:15]
  • 评测
  • 测评结果:WA
  • 用时:1ms
  • 内存:3796kb
  • [2024-10-06 06:47:11]
  • 提交

answer

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iterator>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
#include <stack>

#ifdef LOCAL
template <class T, size_t size = std::tuple_size<T>::value> std::string to_debug(T, std::string s = "") requires(not std::ranges::range<T>);
std::string to_debug(auto x) requires requires(std::ostream& os) { os << x; } { return static_cast<std::ostringstream>(std::ostringstream() << x).str(); }
std::string to_debug(std::ranges::range auto x, std::string s = "") requires(not std::is_same_v<decltype(x), std::string>) {
  for (auto xi : x) { s += ", " + to_debug(xi); }
  return "[" + s.substr(s.empty() ? 0 : 2) + "]";
}
template <class T, size_t size> std::string to_debug(T x, std::string s) requires(not std::ranges::range<T>) {
  [&]<size_t... I>(std::index_sequence<I...>) { ((s += ", " + to_debug(get<I>(x))), ...); }(std::make_index_sequence<size>());
  return "(" + s.substr(s.empty() ? 0 : 2) + ")";
}
#define debug(...) std::cerr << __LINE__ << ": (" #__VA_ARGS__ ") = " << to_debug(std::tuple(__VA_ARGS__)) << "\n"
#else
#define debug(x...)
#endif

using i64 = long long;

template <class T>
struct Discreter {
    std::vector<T> elementSet;

    Discreter(const std::vector<T> &a) : elementSet(a) {
        std::sort(begin(elementSet), end(elementSet));
        elementSet.erase(std::unique(begin(elementSet), end(elementSet)), end(elementSet));
    }

    std::vector<int> process(const std::vector<T> &a) const {//get the dicreter arr
        std::vector<int> discRes(a.size());

        for (int i = 0; i < a.size(); i++) {
            discRes[i] = query(a[i]);
        }

        return discRes;
    }

    int query(const T &x) const {
        auto it = std::lower_bound(begin(elementSet), end(elementSet), x);
        // assert(it != end(elementSet) and *it == x);

        return it - begin(elementSet);
    }

    int queryUpperBound(const T &x) const {
        auto it = std::upper_bound(begin(elementSet), end(elementSet), x);

        return it - begin(elementSet);
    }

    T queryInv(int index) const {
        return elementSet[index];
    }

    int size() {
        return elementSet.size();
    }
};

template<class Info>
struct SegmentTree {
    int n;
    std::vector<Info> info;
    SegmentTree() : n(0) {}
    SegmentTree(int n_, Info v_ = Info()) {
        init(n_, v_);
    }
    template<class T>
    SegmentTree(std::vector<T> init_) {
        init(init_);
    }
    void init(int n_, Info v_ = Info()) {
        init(std::vector(n_, v_));
    }
    template<class T>
    void init(std::vector<T> init_) {
        n = init_.size();
        info.assign(4 << std::__lg(n), Info());
        std::function<void(int, int, int)> build = [&](int p, int l, int r) {
            if (r - l == 1) {
                info[p] = init_[l];
                return;
            }
            int m = (l + r) / 2;
            build(2 * p, l, m);
            build(2 * p + 1, m, r);
            pull(p);
        };
        build(1, 0, n);
    }
    void pull(int p) {
        info[p] = info[2 * p] + info[2 * p + 1];
    }
    void modify(int p, int l, int r, int x, const Info &v) {
        if (r - l == 1) {
            info[p] = v;
            return;
        }
        int m = (l + r) / 2;
        if (x < m) {
            modify(2 * p, l, m, x, v);
        } else {
            modify(2 * p + 1, m, r, x, v);
        }
        pull(p);
    }
    void modify(int p, const Info &v) {
        modify(1, 0, n, p, v);
    }
    Info rangeQuery(int p, int l, int r, int x, int y) {
        if (l >= y || r <= x) {
            return Info();
        }
        if (l >= x && r <= y) {
            return info[p];
        }
        int m = (l + r) / 2;
        return rangeQuery(2 * p, l, m, x, y) + rangeQuery(2 * p + 1, m, r, x, y);
    }
    Info rangeQuery(int l, int r) {
        return rangeQuery(1, 0, n, l, r);
    }
    template<class F>
    int findFirst(int p, int l, int r, int x, int y, F &&pred) {
        if (l >= y || r <= x) {
            return -1;
        }
        if (l >= x && r <= y && !pred(info[p])) {
            return -1;
        }
        if (r - l == 1) {
            return l;
        }
        int m = (l + r) / 2;
        int res = findFirst(2 * p, l, m, x, y, pred);
        if (res == -1) {
            res = findFirst(2 * p + 1, m, r, x, y, pred);
        }
        return res;
    }
    template<class F>
    int findFirst(int l, int r, F &&pred) {
        return findFirst(1, 0, n, l, r, pred);
    }
    template<class F>
    int findLast(int p, int l, int r, int x, int y, F &&pred) {
        if (l >= y || r <= x) {
            return -1;
        }
        if (l >= x && r <= y && !pred(info[p])) {
            return -1;
        }
        if (r - l == 1) {
            return l;
        }
        int m = (l + r) / 2;
        int res = findLast(2 * p + 1, m, r, x, y, pred);
        if (res == -1) {
            res = findLast(2 * p, l, m, x, y, pred);
        }
        return res;
    }
    template<class F>
    int findLast(int l, int r, F &&pred) {
        return findLast(1, 0, n, l, r, pred);
    }
};

struct Info {
    i64 sum{};
};
Info operator+(const Info &a, const Info &b) {
    return { a.sum + b.sum };
}

#define int long long

void solve()
{
    int n, Q; std::cin >> n >> Q; std::vector<int> a(n); for (auto& ai : a) {std::cin >> ai;}
    SegmentTree<Info> T(n + Q);
    std::vector<int> positives; for (auto& ai : a) {positives.push_back(ai);}
    std::vector<std::pair<int, int>> querires(Q); for (auto&[x, v] : querires) {
        std::cin >> x >> v; --x; if (v > 0) {positives.push_back(v);} 
    }

    Discreter discreter(positives);

    std::map<int, int> cnt; for (auto& ai : a) {cnt[ai] += 1;}
    for (auto&[ai, c] : cnt) {T.modify(discreter.query(ai), {c * ai});}

    i64 negative_abs_sum{}; 
    std::multiset<int> S; for (auto& ai : a) if (ai > 0) {S.insert(discreter.query(ai));}

    for (auto&[x, v] : querires) {
        //当前这个下标上对应的数的权值线段树的值
        //不一定就是单点赋值,而是把修改前的那个点减去一次a[x], 然后在新的v对应的上面加一次a=v
        
        if (a[x] <= 0) {negative_abs_sum -= std::abs(a[x]);}
        else {
            int id{discreter.query(a[x])};
            S.extract(id);
            T.modify(id, {T.rangeQuery(id, id + 1).sum - a[x]});
        }
        if (v <= 0) {
            negative_abs_sum += std::abs(v);
        } else {
            int id{discreter.query(v)};
            T.modify(id, {T.rangeQuery(id, id + 1).sum + v});
            S.insert(id);
        }

        a[x] = v; 

        auto k{T.findFirst(0, n + Q, [&](auto& f) {
            return f.sum > negative_abs_sum;
        })};
        if (k == -1) {std::cout << std::size(S) + 1 << "\n"; continue ;}

        i64 pre_sum{T.rangeQuery(0, k).sum};

        int k_take{}, pre_take{(int)(std::distance(S.begin(), S.lower_bound(k)))};

        {//第二遍找k取了多少个
            auto k_sum{T.rangeQuery(k, k + 1).sum};
            auto k_val{discreter.queryInv(k)};
            i64 lo{1}, hi{k_sum / k_val}; while (lo <= hi) {
                i64 mid{(lo + hi) / 2}; 
                (pre_sum + 1LL * mid * k_val > negative_abs_sum) ? 
                hi = mid - 1, k_take = mid : lo = mid + 1;
            }
        }

        std::cout << k_take + pre_take << "\n";

    }

}
 
signed main()
{
    std::cin.tie(nullptr)->sync_with_stdio(false);
    int _{1};
#ifdef tests
    std::cin >> _;
#endif
    while(_--) solve();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3496kb

input:

3 5
1 2 3
3 4
2 -2
1 -3
3 1
2 1

output:

1
2
2
2
3

result:

ok 5 number(s): "1 2 2 2 3"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

3 5
1 2 3
3 4
2 -2
1 3
3 1
2 1

output:

1
2
1
2
1

result:

ok 5 number(s): "1 2 1 2 1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

1 1
1000000000
1 1000000000

output:

1

result:

ok 1 number(s): "1"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

1 1
-1000000000
1 -1000000000

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

1000 1000
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 1 ...

output:

946
65
252
410
915
592
983
487
343
899
809
432
586
587
139
464
804
84
476
699
504
149
579
352
375
856
545
166
140
657
568
509
275
710
873
430
537
879
301
1
298
970
923
510
984
642
55
879
941
344
464
788
917
994
571
610
491
442
926
101
986
840
624
613
425
345
816
423
275
221
317
113
386
116
469
260
4...

result:

ok 1000 numbers

Test #6:

score: 0
Accepted
time: 1ms
memory: 3728kb

input:

1000 1000
1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000000 1 -1000000...

output:

500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
500
...

result:

ok 1000 numbers

Test #7:

score: -100
Wrong Answer
time: 1ms
memory: 3796kb

input:

1000 1000
-485078954 -474724347 -284958745 -99994191 -853392841 -796786314 -87134718 -861459498 -982809180 -184620712 -618476092 -244916830 -349486182 -751407510 -874417202 -419521829 -888338757 -735353446 -426330733 -715383449 -48093437 -359419189 -474876639 -887614191 -157085227 -51186523 -4851821...

output:

2
3
4
5
6
7
8
9
10
11
12
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
51
52
53
54
55
56
57
58
59
60
60
61
62
63
64
65
65
66
67
68
69
70
71
72
73
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
88
89
90
91
92
92
93
94
95
96...

result:

wrong answer 746th numbers differ - expected: '505', found: '0'