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  • 公司真题-vivo2020届春季校园招聘在线编程考试

    感悟:3道编程题,DFS+2道数论,第一次做类似leetcode的题目,有点不适应

    现有一个 3x3 规格的 Android 智能手机锁屏程序和两个正整数 m 和 n ,请计算出使用最少m 个键和最多 n个键可以解锁该屏幕的所有有效模式总数。
    其中有效模式是指:
    1、每个模式必须连接至少m个键和最多n个键;
    2、所有的键都必须是不同的;
    3、如果在模式中连接两个连续键的行通过任何其他键,则其他键必须在模式中选择,不允许跳过非选择键(如图);
    4、顺序相关,单键有效(这里可能跟部分手机不同)。
     
    输入:m,n
    代表允许解锁的最少m个键和最多n个键
    输出:
    满足m和n个键数的所有有效模式的总数
     
     
    /**
     
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                                                                            .                                                                             **/
                                                                            
    #include <bits/stdc++.h>
    using namespace std;
    
    #define FFI(a, b) for(int i = a; i < b; i++)
    #define FFJ(a, b) for(int j = a; j < b; j++)
    #define FFK(a, b) for(int k = a; k < b; k++)
    #define RR(a, b) for(int i = a; i > b; i--)
    #define ME(a, b) memset(a, b, sizeof(a))
    #define FILL(a, b, c) fill(a, a + b, c)
    #define SC(x) scanf("%d", &x)
    #define SCC(a, b) scanf("%d%d", &a, &b)
    #define SCCC(a, b, c) scanf("%d%d%d", &a, &b, &c)
    #define PY() printf("Yes
    ")
    #define PN() printf("No
    ")
    #define PR(x) printf("%d
    ", x)
    #define PRR(a, b) printf("%d%d
    ", a, b);
    #define INF 0x3f3f3f3f
    #define MAX 2001
    #define MOD 1000000007
    #define E 2.71828182845
    #define M 8
    #define N 6
    typedef long long LL;
    const double PI = acos(-1.0);
    typedef pair<int, int> Author;
    vector<pair<string, int> > VP; 
    /*******************************************************************************************************************************************************/
    int main(void){
        ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
        int num[15] = {0, 9,56,320,240871,7152,320,56,9,140704};
        int m, n, ans;
        
        cin>>m>>n;
        ans = 0;
        if(m > n || (m < 0) || (m > 9)) return 0;
        for(int i = m; i <= min(n, 9); i++) ans += num[i];
        cout<<ans<<endl;
        
        
        return EXIT_SUCCESS;
    }
    现给定任意正整数 n,请寻找并输出最小的正整数 m(m>9),使得 m 的各位(个位、十位、百位 ... ...)之乘积等于n,若不存在则输出 -1。
     
    题解:迭代可以做,俺没想出来,硬算的
     
    /**
     
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                                                                            .                                                                             **/
                                                                            
    #include <bits/stdc++.h>
    using namespace std;
    
    #define FFI(a, b) for(int i = a; i < b; i++)
    #define FFJ(a, b) for(int j = a; j < b; j++)
    #define FFK(a, b) for(int k = a; k < b; k++)
    #define RR(a, b) for(int i = a; i > b; i--)
    #define ME(a, b) memset(a, b, sizeof(a))
    #define FILL(a, b, c) fill(a, a + b, c)
    #define SC(x) scanf("%d", &x)
    #define SCC(a, b) scanf("%d%d", &a, &b)
    #define SCCC(a, b, c) scanf("%d%d%d", &a, &b, &c)
    #define PY() printf("Yes
    ")
    #define PN() printf("No
    ")
    #define PR(x) printf("%d
    ", x)
    #define PRR(a, b) printf("%d%d
    ", a, b);
    #define INF 0x3f3f3f3f
    #define MAX 2001
    #define MOD 1000000007
    #define E 2.71828182845
    #define M 8
    #define N 6
    typedef long long LL;
    const double PI = acos(-1.0);
    typedef pair<int, int> Author;
    vector<pair<string, int> > VP; 
    /*******************************************************************************************************************************************************/
    int Fac(int n){
        if(n < 10) return n;
        RR(9, 1) if(n % i == 0) return Fac(n / i) * 10 + i;
        return -1;
    }
    int main(void){
        ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
        
        int n, ans;
        cin>>n;
        ans = Fac(n);
        if(ans > 0) cout<<ans<<endl;
        else cout<<-1<<endl;
        
        return EXIT_SUCCESS;
    }
    迭代做法
    /**
     
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                                                                      .:J: :;  .,:K6BQS7:.,.,.
                                                                        :r7Ji;r7;::;;.
                                                                            .                                                                             **/
                                                                            
    #include <bits/stdc++.h>
    using namespace std;
    
    #define FFI(a, b) for(int i = a; i < b; i++)
    #define FFJ(a, b) for(int j = a; j < b; j++)
    #define FFK(a, b) for(int k = a; k < b; k++)
    #define RR(a, b) for(int i = a; i > b; i--)
    #define ME(a, b) memset(a, b, sizeof(a))
    #define FILL(a, b, c) fill(a, a + b, c)
    #define SC(x) scanf("%d", &x)
    #define SCC(a, b) scanf("%d%d", &a, &b)
    #define SCCC(a, b, c) scanf("%d%d%d", &a, &b, &c)
    #define PY() printf("Yes
    ")
    #define PN() printf("No
    ")
    #define PR(x) printf("%d
    ", x)
    #define PRR(a, b) printf("%d%d
    ", a, b);
    #define INF 0x3f3f3f3f
    #define MAX 2001
    #define MOD 1000000007
    #define E 2.71828182845
    #define M 8
    #define N 6
    typedef long long LL;
    const double PI = acos(-1.0);
    typedef pair<int, int> Author;
    vector<pair<string, int> > VP; 
    /*******************************************************************************************************************************************************/
    int main(void){
        ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
        int n, num[MAX], cnt, res, ans;
        
        ME(num, 0);ans = 0;
        for(int i = 1; i < MAX; i++){
            num[i] += num[i - 1] + i * i;
        }
        
        cin>>n;
        for(int i = n - 1; i > 1; i--){
            if(i * (i + 1) / 2 <= n){
                cnt = i;
                res = n - i * (i + 1) / 2;
                break;
            }
        }
        ans += num[cnt] + (cnt + 1) * res;
        cout<<ans<<endl;
        
        return EXIT_SUCCESS;
    }
    在vivo产线上,每位职工随着对手机加工流程认识的熟悉和经验的增加,日产量也会不断攀升。
    假设第一天量产1台,接下来2天(即第二、三天)每天量产2件,接下来3天(即第四、五、六天)每天量产3件 ... ... 
    以此类推,请编程计算出第n天总共可以量产的手机数量。
     
     

    题解:手机量数就是 : i ^ 2,所以只需要找到所在天数即可,一种是

    for(i = 0; sum < n; i++) sum ++ i; 
    i--;

    还一种就是i *(i + 1) / 2 <= n,找到后求i ^ 2加起来即可

    /**
     
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                                                                        :r7Ji;r7;::;;.
                                                                            .                                                                             **/
                                                                            
    #include <bits/stdc++.h>
    using namespace std;
    
    #define FFI(a, b) for(int i = a; i < b; i++)
    #define FFJ(a, b) for(int j = a; j < b; j++)
    #define FFK(a, b) for(int k = a; k < b; k++)
    #define RR(a, b) for(int i = a; i > b; i--)
    #define ME(a, b) memset(a, b, sizeof(a))
    #define FILL(a, b, c) fill(a, a + b, c)
    #define SC(x) scanf("%d", &x)
    #define SCC(a, b) scanf("%d%d", &a, &b)
    #define SCCC(a, b, c) scanf("%d%d%d", &a, &b, &c)
    #define PY() printf("Yes
    ")
    #define PN() printf("No
    ")
    #define PR(x) printf("%d
    ", x)
    #define PRR(a, b) printf("%d%d
    ", a, b);
    #define INF 0x3f3f3f3f
    #define MAX 2001
    #define MOD 1000000007
    #define E 2.71828182845
    #define M 8
    #define N 6
    typedef long long LL;
    const double PI = acos(-1.0);
    typedef pair<int, int> Author;
    vector<pair<string, int> > VP; 
    /*******************************************************************************************************************************************************/
    int main(void){
        ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
        
        int n, num[MAX], cnt, res, ans;
        
        ME(num, 0);ans = 0;
        for(int i = 1; i < MAX; i++){
            num[i] += num[i - 1] + i * i;
        }
        
        cin>>n;
        for(int i = n - 1; i > 1; i--){
            if(i * (i + 1) / 2 <= n){
                cnt = i;
                res = n - i * (i + 1) / 2;
                break;
            }
        }
        ans += num[cnt] + (cnt + 1) * res;
        cout<<ans<<endl;
        
        return EXIT_SUCCESS;
    }
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  • 原文地址:https://www.cnblogs.com/meditation5201314/p/12579952.html
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