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落英
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EdwardLu
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叔夜

活动打卡代码 AcWing 798. 差分矩阵

#include <iostream>

using namespace std;

const int N = 1010;
int a[N][N], b[N][N];
int n, m, q;

void insert(int x1,int y1, int x2, int y2, int c)
{
    b[x1][y1] += c;
    b[x1][y2+1] -= c;
    b[x2+1][y1] -= c;
    b[x2+1][y2+1] += c;
}

int main()
{
    cin >> n >> m >> q;
    for(int i=1;i<=n;i++)
        for(int j=1;j<=m;j++)
        {
            cin >> a[i][j];
            insert(i, j, i, j, a[i][j]);
        }

    while(q--)
    {
        int x1, y1, x2, y2, c;
        cin >> x1 >> y1 >> x2 >> y2 >> c;
        insert(x1, y1, x2, y2, c);
    }

    for(int i=1;i<=n;i++)
    {
        for(int j=1;j<=m;j++)
        {
            a[i][j] = a[i-1][j] + a[i][j-1] - a[i-1][j-1] + b[i][j];
            cout << a[i][j] << ' ';
        }
        puts("");
    }
    return 0;
}


活动打卡代码 AcWing 796. 子矩阵的和

#include <iostream>

using namespace std;

const int N = 1010;
int a[N][N], s[N][N];
int n, m, q;

int main()
{
    scanf("%d%d%d", &n, &m, &q);
    for(int i=1;i<=n;i++)
        for(int j=1;j<=m;j++)
        {
            cin >> a[i][j];
            s[i][j] = s[i-1][j] + s[i][j-1] - s[i-1][j-1] + a[i][j];   
        }

    while(q--)
    {
        int x1,y1,x2,y2;
        cin >> x1 >> y1 >> x2 >> y2;
        cout << s[x2][y2]-s[x2][y1-1]-s[x1-1][y2]+s[x1-1][y1-1] << endl;
    }
    return 0;
}


活动打卡代码 AcWing 797. 差分

#include <iostream>
using namespace std;

const int N = 100010;
int a[N], b[N];
int n, m;

void insert(int l, int r, int c)
{
    b[l] += c;
    b[r+1] -= c;
}

int main()
{
    cin >> n >> m;
    for(int i=1;i<=n;i++)  
    {
        cin >> a[i];
        insert(i,i,a[i]);
    }

    while(m--)
    {
        int l, r, c;
        cin >> l >> r >> c;
        insert(l, r, c);
    }

    for(int i=1;i<=n;i++)
    {
        a[i] = a[i-1] + b[i];
        cout << a[i] << ' ';
    }
    return 0;
}


活动打卡代码 AcWing 795. 前缀和

#include <iostream>

using namespace std;

const int N = 100010;
int n, m;
int a[N], s[N];

int main()
{
    scanf("%d%d", &n, &m);
    for(int i=1;i<=n;i++)   scanf("%d", &a[i]);

    for(int i=1;i<=n;i++)   s[i] = s[i-1] + a[i];

    while(m--)
    {
        int l, r;
        scanf("%d%d", &l, &r);
        printf("%d\n", s[r] - s[l-1]);
    }
    return 0;
}


活动打卡代码 AcWing 240. 食物链

#include <iostream>
using namespace std;

const int N = 50010;
int n, k, cnt;
int p[N], d[N];  // d[]:到根节点距离

int find(int x)
{
    if(p[x] != x)
    {
        int t = find(p[x]);
        d[x]+=d[p[x]];
        p[x] = t;
    }
    return p[x];
}

int main()
{
    cin >> n >> k;
    for(int i=1;i<=n;i++)  p[i] = i;

    int res=0;
    while(k--)
    {
        int m, x, y;
        cin >> m >> x >> y;

        if(x>n || y>n) res++;
        else
        {
            int px = find(x), py = find(y);
            if(m==1)
            {
                if(px==py && (d[x]-d[y]) % 3)  res++;
                else if(px!=py)
                {
                    p[px] = py;
                    d[px] = d[y] - d[x];
                }
            }
            else
            {
                if(px==py && (d[x]-d[y]-1)%3)  res++;
                else if(px!=py)
                {
                    p[px] = py;
                    d[px] = d[y]+1-d[x];
                }
            }
        }
    }
    cout << res << endl;
    return 0;
}


活动打卡代码 AcWing 794. 高精度除法

#include <iostream>
#include <vector>
#include <algorithm>

using namespace std;

//  A / b = C...r : C是商,r是余数
vector<int> div(vector<int> &A, int b, int &r)
{
    vector<int> C;
    r = 0;

    for(int i=A.size()-1; i>=0; i--)
    {
        r = r * 10 + A[i];
        C.push_back(r / b);
        r = r % b;
    }
    reverse(C.begin(), C.end());  //  把C倒过来

    while(C.size() > 1 && C.back() == 0)  C.pop_back();

    return C;
}

int main()
{
    string a;
    int b, r;
    cin >> a >> b;

    vector<int> A;
    for(int i=a.size()-1; i>=0; i--)  A.push_back(a[i] - '0');

    auto C = div(A, b, r);
    for(int i=C.size()-1; i>=0; i--) printf("%d", C[i]);
    cout << endl << r;

    return 0;
}


活动打卡代码 AcWing 793. 高精度乘法

#include <iostream>
#include <vector>

using namespace std;

//  C = A * b:  A是高精度整数,b是低精度的整数
vector<int> mul(vector<int> &A, int b)
{
    vector<int> C;
    int t=0;     //  t是进位

    for(int i=0; i<A.size() || t; i++)
    {
        if(i < A.size())  t += A[i] * b;
        C.push_back(t % 10);
        t /= 10;
    }
    while(C.size() > 1 && C.back() == 0) C.pop_back();  // 去掉前导0

    return C;
}

int main()
{
    string a;
    int b;
    cin >> a >> b;

    vector<int> A;
    for(int i=a.size()-1; i>=0; i--)  A.push_back(a[i] - '0');

    auto C = mul(A, b);

    for(int i=C.size()-1; i>=0; i--)  printf("%d", C[i]);
    return 0;
}


活动打卡代码 AcWing 792. 高精度减法

#include <iostream>
#include <vector>

using namespace std;

// 判断是否有 A >= B
bool cmp(vector<int> &A, vector<int> &B)
{
    if (A.size() != B.size()) return A.size() > B.size();

    for (int i = A.size() - 1; i >= 0; i -- )
        if (A[i] != B[i])
            return A[i] > B[i];

    return true;
}


//  C = A - B
vector<int> sub(vector<int> &A, vector<int> &B)
{
    vector<int> C;
    for (int i = 0, t = 0; i < A.size(); i ++ )
    {
        t = A[i] - t;
        if (i < B.size()) t -= B[i];
        C.push_back((t + 10) % 10);
        if (t < 0) t = 1;
        else t = 0;
    }

    while (C.size() > 1 && C.back() == 0) C.pop_back();   // 去掉前导0
    return C;
}


int main()
{
    string a, b;
    vector<int> A, B;
    cin >> a >> b;

    for(int i=a.size()-1; i>=0; i--)  A.push_back(a[i] - '0');
    for(int i=b.size()-1; i>=0; i--)  B.push_back(b[i] - '0');

    vector<int> C;
    if(cmp(A, B))  C = sub(A, B);
    else C = sub(B, A), cout << "-";

    for(int i= C.size()-1; i>=0; i--)  cout << C[i];
    cout << endl;

    return 0;
}


活动打卡代码 AcWing 791. 高精度加法

#include <iostream>
#include <vector>

using namespace std;

vector<int> add(vector<int> &A, vector<int> &B)  // 加取地址符号&为了提高效率,不用把整个数组拷贝一遍
{
    vector<int> C;
    int t = 0;

    for(int i=0; i<A.size() || i<B.size(); i++)
    {
        if(i<A.size())  t+=A[i];
        if(i<B.size())  t+=B[i];
        C.push_back(t % 10);
        t /= 10;
    }
    if(t) C.push_back(1);
    return C;

}

int main()
{
    string a, b;
    vector<int> A, B;
    cin >> a >> b;     // a = "1234"

    for(int i=a.size()-1; i>=0; i--) A.push_back(a[i] - '0');    // A = [4, 3, 2, 1]
    for(int i=b.size()-1; i>=0; i--) B.push_back(b[i] - '0');    // 减0是将string类型变成int类型

    auto C = add(A, B);

    for(int i=C.size()-1; i >= 0; i--)  printf("%d", C[i]);
    return 0;
}



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