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ccf csp认证模拟练习 2022 ～ 2023

作为复试机试前的练习，题目来自cspro.org

仅包含历年1、2题，比较暴力所以可能超时。

202312-1 仓库规划


#include <iostream>
#include <vector>
using namespace std;

// 检查仓库a是否可以成为仓库b的上级
bool isSuperior(const vector<int>& a, const vector<int>& b) {
    for (int i = 0; i < a.size(); ++i) {
        if (a[i] <= b[i]) return false;
    }
    return true;
}

int main() {
    int n, m;
    cin >> n >> m; // 读入仓库数量和位置编码的维度

    vector<vector<int> > codes(n, vector<int>(m));
    for (int i = 0; i < n; ++i) {
        for (int j = 0; j < m; ++j) {
            cin >> codes[i][j]; // 读入每个仓库的位置编码
        }
    }

    for (int i = 0; i < n; ++i) {
        int superior = -1; // 初始化上级仓库编号为-1，表示没有上级
        for (int j = 0; j < n; ++j) {
            if (i != j && isSuperior(codes[j], codes[i])) {
                if (superior == -1 || j < superior) {
                    superior = j; // 找到编号最小的满足条件的上级仓库
                }
            }
        }
        cout << (superior + 1) << endl; 
    }

    return 0;
}
C++

202312-2 因子化简

#include <iostream>
#include <cmath>
using namespace std;

bool isPrime(int n) {
    if (n <= 1) return false;
    for (int i = 2; i <= sqrt(n); i++) {
        if (n % i == 0) return false;
    }
    return true;
}

// 函数用于简化n的值
long long simplifyNumber(int n, int k) {
    long long result = 1;
    for (int p = 2; p <= n; p++) {
        if (isPrime(p)) {
            int count = 0;
            while (n % p == 0) {
                n /= p;
                count++;
            }
            if (count >= k) {
                result *= pow(p, count);
            }
        }
    }
    return result;
}

int main() {
    int q;
    cin >> q;
    while (q--) {
        int n, k;
        cin >> n >> k;
        cout << simplifyNumber(n, k) << endl;
    }
    return 0;
}
C++

202309-1 坐标变换一

#include <iostream>
#include <vector>
using namespace std;

int main(){
	int n,m,a,b;
	cin >> n >> m;
	int left = 0, right = 0;
	for(int i = 0;i < n;i++){
		cin >> a >> b;
		left += a;
		right += b;
	} 
	for(int i = 0;i < m;i++){
		cin >> a >> b;
		cout << a + left <<' '<< b + right << endl;
	}
	return 0;
}
C++

202309-2 坐标变换2

#include <iostream>
#include <vector>
#include <cmath>
#include <iomanip>
using namespace std;

int main(){
	double n,m,a,b,x,y;
	cin >> n >> m;
	vector<vector<double> > operations(n,vector<double>(2));
	for(int i = 0;i < n;i++){
		cin >> operations[i][0] >> operations[i][1];
	} 
	for(int j = 0;j < m;j++){
		cin >> a >> b >> x >> y;
		while(b >= a){
			if(operations[a-1][0] == 1){
				x = x * operations[a-1][1];
				y = y * operations[a-1][1];
				a++;
			}else{
				double temp = x;
				double z = operations[a-1][1];
	            x = x * cos(z) - y * sin(z);
	            y = temp * sin(z) + y * cos(z);
				a++;
			}
			
		}
		cout << fixed << setprecision(3) << x << ' ' << y << endl;
	}
	return 0;
}
C++

202305-1 重复局面

#include <iostream>
#include <vector>
#include <string>
using namespace std;

bool issimilar(const vector<string>& x, const vector<string>& y) {
    for (int i = 0; i < 8; i++) {
        if (x[i] != y[i]) {
            return false;
        }
    }
    return true;
}

int main() {
    int n;
    cin >> n;
    vector<vector<string>> situations; // 存储所有局面

    for (int i = 0; i < n; i++) {
        vector<string> board(8);
        for (int j = 0; j < 8; j++) {
            cin >> board[j]; 
        }

        situations.push_back(board); 

        int count = 0;
        for (int k = 0; k <= i; k++) {
            if (issimilar(situations[i], situations[k])) {
                count++; 
            }
        }

        cout << count << endl; 
    }

    return 0;
}
C++

202305-2 矩阵运算

#include <iostream>
#include <vector>
#include <cmath>
#include <iomanip>
using namespace std;

vector<vector<int> > matrixMultiply(const vector<vector<int> >& A, const vector<vector<int> >& B) {
    int rowsA = A.size();    // A的行数
    int colsA = A[0].size(); // A的列数
    int rowsB = B.size();    // B的行数
    int colsB = B[0].size(); // B的列数

    // 结果矩阵初始化为0，大小为A的行数 x B的列数
    vector<vector<int> > C(rowsA, vector<int>(colsB, 0));

    // 执行矩阵乘法
    for(int i = 0; i < rowsA; ++i) {
        for(int j = 0; j < colsB; ++j) {
            for(int k = 0; k < colsA; ++k) {
                C[i][j] += A[i][k] * B[k][j];
            }
        }
    }

    return C;
}

int main(){
    int n, d, x;
    cin >> n >> d;
    vector<vector<int> > q(n, vector<int>(d));
    vector<vector<int> > k(d, vector<int>(n)); 
    vector<vector<int> > v(n, vector<int>(d));

    for(int i = 0; i < n; i++){
        for(int j = 0; j < d; j++){
            cin >> x;
            q[i][j] = x;
        }
    }
    for(int i = 0; i < n; i++){
        for(int j = 0; j < d; j++){
            cin >> x;
            k[j][i] = x;
        }
    }
    for(int i = 0; i < n; i++){
        for(int j = 0; j < d; j++){
            cin >> x;
            v[i][j] = x;
        }
    }
    vector<int> w(n);
    for(int i = 0;i < n;i++){
    	cin >> x;
    	w[i] = x;
	}
    vector<vector<int> > temp = matrixMultiply(q, k);
    for(int i = 0;i < n;i++){
    	for(int j = 0;j < n;j++){
    		temp[i][j] = temp[i][j] * w[i];
		}
	}
    vector<vector<int> > result = matrixMultiply(temp, v);

  
    for(int i = 0; i < n; i++){
        for(int j = 0; j < d; j++){
            cout << result[i][j] << " ";
        }
        cout << endl;
    }
    return 0;
}
C++

202303-1 田地丈量

#include <iostream>
#include <vector>
#include <cmath>
#include <iomanip>
using namespace std;


int area(int a,int b,int c,int d,int x,int y){
  int x1 = max(a,0);
  int y1 = max(b,0);
  int x2 = min(c,x);
  int y2 = min(d,y);
  
  int height = y2 - y1;
  int width = x2 - x1;
  
  if(height < 0 || width < 0){
  	return 0;
  }
  
  return height * width;
}
int main(){
	int n,x,y,a,b,c,d,r = 0;
	cin >> n >> x >> y;
	for(int i = 0;i < n;i++){
		cin >> a >> b >> c >> d;
		r += area(a,b,c,d,x,y);
	}
	cout << r << endl;
}
C++

202303-2 耕田计划

#include <iostream>
#include <vector>
#include <cmath>
#include <iomanip>
using namespace std;

int main(){
	int n,m,k,maxval=0,max,min=INT_MAX;
	cin >> n >> m >> k;
	vector<vector<int> > area(n,vector<int>(2));
	for(int i = 0;i < n;i++){
		cin >> area[i][0] >> area[i][1];
	}
	while(m >= 0){
		for(int i = 0;i < n;i++){
			if(area[i][0] > maxval){
				maxval = area[i][0];
				max = i;
				min = area[i][1];
			}
		}
		if(area[max][0] > k && m >= min){
			m = m - min;
			area[max][0]--;
		}else{
			cout << area[max][0] << endl;
			return 0;
		}
		maxval=0;
		min=INT_MAX;
	}
	return 0;
}
C++

202212-1 现值计算

#include <iostream>
#include <vector>
#include <cmath>
using namespace std;

int main() {
    double n,y,r = 0;
    cin >> n >> y;
    vector<double> m(n + 1);
    for(int i = 0;i <= n;i++){
    	cin >> m[i]; 
	}
	r += m[0];
   for(int i = 1;i <= n;i++){
	r += pow ((1 + y), -i) * m[i];
   }
    cout << r << endl;
    return 0;
}
C++

202212-2 训练计划

#include <iostream>
#include <vector>
#include <cmath>
using namespace std;

int main() {
    int n,m;
    bool success = true;
	cin >> m >> n;
	vector<int> former(n + 1),days(n + 1),early(n + 1),late(n + 1) ;
	for(int i = 1;i <= n; i++){
		cin >> former[i];
	}
	for(int i = 1;i <= n; i++){
		cin >> days[i];
	}
	for(int i = 1;i <= n; i++){
		int flag = former[i], count = 1;
		while(flag != 0){
			count = count + days[flag];
			flag = former[flag];
		}
		early[i] = count;
	}
	for(int i = 1;i <= n; i++){
		if(early[i] + days[i] - 1 > m){
			success = false;
			break;
		}
	}
	
	for (int i = 1;i <= n; i++){
			cout << early[i] << ' ';
		}
	if(!success){
		return 0;
	}
	for (int i = 1;i <= n; i++){
		 late[i] = m + 1 - days[i];
		 int flag = former[i];
		 int count = late[i];
		 while(flag != 0){
		 	count = count - days[flag];
		 	if(late[flag] > count){
		 		late[flag] = count;
			 }
			 flag = former[flag];
		 }
		 
	}
	cout << endl;
	for (int i = 1;i <= n; i++){
			cout <<late[i] << ' ';
		}
	return 0;
}
C++

202209-1 如此编码

#include <iostream>
#include <vector>
#include <climits>
using namespace std;

int main() {
    int n,m,r;
    cin >> n >> m;
    vector<int> A(n),C(n),B(n);
	for(int i = 1;i <= n;i++){
		cin >> A[i];
	} 
	C[0] = 1;
	for(int i = 1;i <= n;i++){
			C[i] = C[i - 1] * A[i];
	} 
	for(int i = 1;i <= n; i++){
		if (i == 1){
			B[i] = ( m % C[i] ) / C[i - 1];
		}else{	
		B[i] = ( m % C[i] - m % C[i - 1]) / C[i - 1];
	}
	}
	for(int i = 1;i <= n;i++){
		cout << B[i] << ' '; 
	} 
	return 0;
}
C++

202209-2 何以包邮

#include <iostream>
#include <vector>
#include <climits>
using namespace std;

int main() {
    int n, x;
    cin >> n >> x;
    
    vector<int> a(n);
    for(int i = 0; i < n; i++) {
        cin >> a[i];
    }

    int minSum = INT_MAX;

    for(int mask = 0; mask < (1 << n); mask++) {
        int sum = 0;
        for(int i = 0; i < n; i++) {
            if(mask & (1 << i)) {
                sum += a[i];
            }
        }
        if(sum >= x && sum < minSum) {
            minSum = sum;
        }
    }

    if(minSum == INT_MAX) {
        cout << x << endl;
    } else {
        cout << minSum << endl;
    }

    return 0;
}
C++

CelestialRipple

只是随笔

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