2025.2.10——1400

合集 - 日常训练(56)

1.2025.2.19——150002-192.11.23 周六2024-11-243.11.24 周日2024-11-254.11.25 周一日常2024-11-265.2024.11.26 周二日常2024-11-266.2024.11.27 周三2024-11-277.2024.11.28周四2024-11-288.2024.11.29 周五2024-11-299.2024.11.30 周六2024-11-3010.2024.12.1 周日2024-12-0211.2024.12.2 周一2024-12-0212.2024.12.3 周二2024-12-0413.2024.12.4 周三2024-12-0514.2024.12.5 周四2024-12-0615.2024.12.7 周六2024-12-0816.2024.12.8 周日2024-12-0917.2024.12.9 周一2024-12-1018.2024.12.10 周二2024-12-1119.2024.12.11 周三2024-12-1220.2024.12.12 周四2024-12-1321.2024.12.13 周五2024-12-1422.2024.12.14 周六2024-12-1523.2024.12.16 周一2024-12-1724.2024.12.17 周二2024-12-1825.2024.12.18 周三2024-12-1926.2024.12.19 周四2024-12-2027.2024.12.20 周五2024-12-2128.2024.12.21 周六2024-12-2229.2024.12.22 周日2024-12-2330.2024.12.23 周一2024-12-2431.2024.12.24 周四2024-12-2532.2024.12.25 周三2024-12-2633.2024.12.26 周四2024-12-2834.2024.12.27 周五2024-12-2835.2024.12.28 周六2024-12-2936.2024.12.29 周日2024-12-3037.2024.12.30 周一01-0138.2025.1.5——120001-1439.2025.1.12——120001-1440.2025.1.14——120001-1541.2025.1.15——120001-1642.2025.1.16——120001-1743.2025.1.17——120001-1844.2025.1.18——130001-1945.2025.1.19——130001-2046.2025.1.20——130001-2147.2025.1.21——130001-2248.2025.1.22——130001-2449.2025.1.24——140001-2650.2025.1.26——140001-2851.2025.2.8——140002-0952.2025.2.9——140002-11

53.2025.2.10——140002-11

54.2025.2.14——140002-1455.2025.2.15——140002-1556.2025.2.17——140002-17

收起

2025.2.10——1400

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A 1400

B 1400

C 1400

D 1400

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• 思维+前缀+数学+贪心/结论

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A

1. 入手点：发现 $k>2$ 时答案为0。
2. 关键点：考虑 $k==1/k==2$ 时即可。
3. 巧妙点：$low\mathrm{\_}bound$ 去寻找第一个大于与小于指定值的数。

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B

1. 入手点：更换一种问题的计算方式，考虑一层层的后缀和。
2. 关键点：正数求和。
3. 对前缀和的理解。

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C

1. 入手：只需考虑最大值与最小值。
2. 关键：每次操作会使差值/2。贪心奇偶数讨论一下即可。

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D

1. 关键：贪心单调匹配。
2. 巧妙：使用结构体绑定下标排序，用于匹配。

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------------------------代码------------------------

A

#include <bits/stdc++.h>
#define int long long //
#define endl '\n'     // attention: interactive/debug
#define el cout << endl
using namespace std;
#define bug(BUG) cout << "bug:# " << (BUG) << endl
#define bug2(BUG1, BUG2) cout << "bug:# " << (BUG1) << " " << (BUG2) << endl
#define bug3(BUG1, BUG2, BUG3) cout << "bug:# " << (BUG1) << ' ' << (BUG2) << ' ' << (BUG3) << endl
#define bugv(VEC)               \
    {                           \
        for (auto Vec : VEC)    \
            cout << Vec << ' '; \
        el;                     \
    }

void _();
signed main()
{
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    cout << fixed << setprecision(10);
    int T = 1;
    cin >> T;
    while (T--)
        _();
    return 0;
}

void _()
{
    int n, k;
    cin >> n >> k;
    vector<int> a(n);
    int res = 1e18;
    for (int i = 0; i < n; i++)
        cin >> a[i], res = min(res, a[i]);

    sort(a.begin(), a.end());
    for (int i = 1; i < n; i++)
        res = min(res, a[i] - a[i - 1]);
    if (k == 2)
    {
        vector<int> inv = a;
        reverse(inv.begin(), inv.end());
        for (int i = 0; i < n; i++)
            for (int j = i + 1; j < n; j++)
            {
                int v = abs(a[i] - a[j]);
                auto it_r = lower_bound(begin(a), end(a), v);
                auto it_l = lower_bound(begin(inv), end(inv), v, greater<int>());
                if (it_r != end(a))
                    res = min(res, abs(*it_r - v));
                if (it_l != end(inv))
                    res = min(res, abs(*it_l - v));
            }
    }
    if (k > 2)
        res = 0;
    cout << res;
    el;
}

---

B

#include <bits/stdc++.h>
#define int long long //
#define endl '\n'     // attention: interactive/debug
#define el cout << endl
using namespace std;
#define bug(BUG) cout << "bug:# " << (BUG) << endl
#define bug2(BUG1, BUG2) cout << "bug:# " << (BUG1) << " " << (BUG2) << endl
#define bug3(BUG1, BUG2, BUG3) cout << "bug:# " << (BUG1) << ' ' << (BUG2) << ' ' << (BUG3) << endl
#define bugv(VEC)               \
    {                           \
        for (auto Vec : VEC)    \
            cout << Vec << ' '; \
        el;                     \
    }

void _();
signed main()
{
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    cout << fixed << setprecision(10);
    int T = 1;
    cin >> T;
    while (T--)
        _();
    return 0;
}

void _()
{
    int n;
    cin >> n;
    vector<int> a(n + 1), suf(n + 2);
    for (int i = 1; i <= n; i++)
        cin >> a[i];
    for (int i = n; i; i--)
        suf[i] = suf[i + 1] + a[i];
    int res = suf[1];
    for (int i = 2; i <= n; i++)
        res += suf[i] > 0 ? suf[i] : 0;
    cout << res;
    el;
}

---

C

#include <bits/stdc++.h>
#define int long long //
#define endl '\n'     // attention: interactive/debug
#define el cout << endl
using namespace std;
#define bug(BUG) cout << "bug:# " << (BUG) << endl
#define bug2(BUG1, BUG2) cout << "bug:# " << (BUG1) << " " << (BUG2) << endl
#define bug3(BUG1, BUG2, BUG3) cout << "bug:# " << (BUG1) << ' ' << (BUG2) << ' ' << (BUG3) << endl
#define bugv(VEC)               \
    {                           \
        for (auto Vec : VEC)    \
            cout << Vec << ' '; \
        el;                     \
    }

void _();
signed main()
{
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    cout << fixed << setprecision(10);
    int T = 1;
    cin >> T;
    while (T--)
        _();
    return 0;
}

void _()
{
    int n;
    cin >> n;
    int l = 1e12, r = -1;
    for (int i = 0; i < n; i++)
    {
        int x;
        cin >> x;
        l = min(l, x);
        r = max(r, x);
    }
    vector<int> res;
    while (l - r)
    {
        int v = l & 1 ? 1 : 0;
        res.push_back(v);
        l += v, r += v;
        l >>= 1, r >>= 1;
    }
    cout << res.size();
    el;
    if (res.size() <= n)
        for (auto v : res)
            cout << v << ' ';
    el;
}

---

D

#include <bits/stdc++.h>
#define int long long //
#define endl '\n'     // attention: interactive/debug
#define el cout << endl
using namespace std;
#define bug(BUG) cout << "bug:# " << (BUG) << endl
#define bug2(BUG1, BUG2) cout << "bug:# " << (BUG1) << " " << (BUG2) << endl
#define bug3(BUG1, BUG2, BUG3) cout << "bug:# " << (BUG1) << ' ' << (BUG2) << ' ' << (BUG3) << endl
#define bugv(VEC)               \
    {                           \
        for (auto Vec : VEC)    \
            cout << Vec << ' '; \
        el;                     \
    }

void _();
signed main()
{
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    cout << fixed << setprecision(10);
    int T = 1;
    cin >> T;
    while (T--)
        _();
    return 0;
}

void _()
{
    int n, k;
    cin >> n >> k;
    struct Node
    {
        /* data */
        int v, id;
    };
    vector<Node> a(n), b(n);
    for (int i = 0; i < n; i++)
        cin >> a[i].v, a[i].id = i;
    for (auto &[v, id] : b)
        cin >> v;
    sort(begin(a), end(a), [](Node &e1, Node &e2)
         { return e1.v < e2.v; });
    sort(begin(b), end(b), [](Node &e1, Node &e2)
         { return e1.v < e2.v; });

    int stb = -1;
    for (int i = n - k; i < n; i++)
        b[++stb].id = a[i].id;
    for (int i = 0; i < n - k; i++)
        b[++stb].id = a[i].id;

    sort(begin(a), end(a), [](Node &e1, Node &e2)
         { return e1.id < e2.id; });
    sort(begin(b), end(b), [](Node &e1, Node &e2)
         { return e1.id < e2.id; });
    int cnt = 0;
    for (int i = 0; i < n; i++)
        cnt += a[i].v > b[i].v;

    if (cnt - k)
    {
        cout << "NO";
        el;
        return;
    }
    cout << "YES";
    el;
    for (auto [v, id] : b)
        cout << v << ' ';
    el;
}

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