目录
题目一(日期统计 纯暴力):
代码:
题目二(01串的熵 模拟):
代码:
题目三(治炼金属):
代码:
题目四(飞机降落 深度搜索):
代码:
题目五(接龙数列 动态规划):
代码:
题目六(岛屿个数 广度优先):
代码:
题目七(子串简写 尺取法):
代码:
题目八(整数删除):
代码:
题目一(日期统计 纯暴力):
代码:
#include <iostream>
using namespace std;
int main()
{int array[100] = {5, 6, 8, 6, 9, 1, 6, 1, 2, 4, 9, 1, 9, 8, 2, 3, 6, 4, 7, 7,5, 9, 5, 0, 3, 8, 7, 5, 8, 1, 5, 8, 6, 1, 8, 3, 0, 3, 7, 9,2, 7, 0, 5, 8, 8, 5, 7, 0, 9, 9, 1, 9, 4, 4, 6, 8, 6, 3, 3,8, 5, 1, 6, 3, 4, 6, 7, 0, 7, 8, 2, 7, 6, 8, 9, 5, 6, 5, 6,1, 4, 0, 1, 0, 0, 9, 4, 8, 0, 9, 1, 2, 8, 5, 0, 2, 5, 3, 3};int Month[13] = { 0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31 };int ans = 0;for (int month = 1; month <= 12; ++month)//枚举月{for (int day = 1; day <= Month[month]; ++day)//枚举天{int date[8] = { 2, 0, 2, 3, month / 10, month % 10, day / 10, day % 10 };//把八位数得出int k = 0;for (int i = 0; i < 100; ++i) //遍历100个数,是否能满足有该天{if (array[i] == date[k]) //满足该位{++k;//下一位if (k == 8) //等于8,即满足该年月日,答案加一{ans++;break;}}}}}cout << ans;return 0;
}
题目二(01串的熵 模拟):
代码:
#include <iostream>//H(s)= -(0的个数)/(总长度)*log2((0的个数)/(总长度))*0的个数-(1的个数)/(总长度)*log2((1的个数)/(总长度))*1的个数
#include <algorithm>
#include <cmath>
using namespace std;
int main()
{int n = 23333333;//0出现的次数更少for (int i = 1; i < n / 2; ++i){double a = i * 1.0 / n;//0的占比double b = (n - i) * 1.0 / n;//1的占比double res1,res2;res1 = 0 - (a * log2(a) * i);//求0的部分res2 = 0 - b * log2(b) * (n - i);//求1的部分if (abs((res1+res2) - 11625907.5798) < 0.0001)//差距在0.000内{cout << i << endl;break;}}return 0;
}
题目三(治炼金属):
代码:
#include <iostream>
#include <algorithm>
using namespace std;
struct node
{int x, s;
};
bool cmp(node a, node b)//v小的排前
{return a.x / a.s < b.x / b.s;
}
int main()
{int n;cin >> n;int maxx = 1e9;node a[10100];for (int i = 1; i <= n; i++){cin >> a[i].x >> a[i].s;}sort(a + 1, a + 1 + n, cmp);//能满足所有的,且v为最大maxx = a[1].x / a[1].s;int minn = 0;for (int z = maxx; z >= 1; z--)//由最大的往前算,递减,直到有一个不满足{int flag = 0;for (int i = 1; i <= n; i++){if (a[i].x / z > a[i].s){flag = 1;minn = z;break;}}if (flag == 1)break;}cout << minn + 1 << " " << maxx;
}
题目四(飞机降落 深度搜索):
代码:
#include <iostream>
#include <vector>
using namespace std;
struct plane// 创建飞机结构体变量
{int t, d, l;
};
bool vis[15]; // true表示飞机降落,false表示飞机未降落
bool flag; // 标记是否全部安全降落
vector<plane> p(15);
int m, cnt;
void dfs(int cnt,int last) // lasttime表示此前所有飞机降落所需的单位时间
{if (cnt == m)//所有飞机都可降落{flag = true;return;}for (int i = 0; i < m; i++)//遍历所有飞机{if (!vis[i] && p[i].t + p[i].d >= last) // 还未降落且只有最迟降落时间(来的时刻+盘旋时间) > lasttime 的飞机才可以安全降落{vis[i] = true;dfs(cnt + 1, max(last, p[i].t) + p[i].l);vis[i] = false;}}
}int main()
{int T;cin >> T;while (T--){cin >> m;for (int i = 0; i < m; ++i)cin >> p[i].t >> p[i].d >> p[i].l;flag = false;dfs(0, 0);if (flag)cout << "YES" << endl;elsecout << "NO" << endl;}return 0;
}
题目五(接龙数列 动态规划):
代码:
#include <iostream>//动态规划,类0、1背包问题
#include <string>
using namespace std;
int dp[10];//第n个时以i结尾的最长接龙序列
int main()
{int n;cin >> n;string s;int m = 0;for (int i = 0; i < n; i++) {cin >> s;int x = s[0] - '0', y = s.back() - '0';//x表示该数的首字母,y表示该数的最后一个字母//除了以y结尾的,其它不变dp[y] = max(dp[x] + 1, dp[y]);//dp[x]+1表示选该数字时的最长序列,dp[y]表示不选该数字时的最长序列,继承m = max(m, dp[y]);//每次比较,记录最大值}cout << n - m << endl;return 0;
}
题目六(岛屿个数 广度优先):
代码:
#include<iostream>
#include<queue>
#include<cstring>
using namespace std;
const int N = 77;
string s[N];
int book[N][N];
int m, n, ans=0;
int dx[8] = { 0,0,1,-1,1,1,-1,-1 };
int dy[8] = { 1,-1,0,0,1,-1,1,-1 };
int check(int x,int y)//通过海水(0)是否能到达边界判断这个岛屿是否在环岛内
{queue<pair<int, int>>q;q.push({ x, y });int vis[N][N];memset(vis, 0, sizeof(vis));//访问数组,初始化为0while (!q.empty()){x = q.front().first, y = q.front().second;q.pop();if (x == 1 || x == n || y == 1 || y == m)//到边界,则不在环岛内return 1;for (int i = 0; i < 8; i++){int tx = x + dx[i], ty = y + dy[i];if (vis[tx][ty] == 1 || s[tx][ty] == '1')//边界条件continue;vis[tx][ty] = 1;q.push({ tx,ty });}}return 0;
}
void bfs(int x,int y)//遍历这个岛屿
{queue<pair<int, int>>q;q.push({ x,y });book[x][y] = 1;while (!q.empty()){x = q.front().first, y = q.front().second;q.pop();for (int i = 0; i < 4; i++){int tx = x + dx[i], ty = y + dy[i];if (tx<1 || ty<1 || tx>n || ty>m || book[tx][ty] == 1 || s[tx][ty] == '0')//边界条件continue;book[tx][ty] = 1;q.push({ tx,ty });}}
}
void solve()
{memset(book, 0, sizeof(book));//访问数组,初始为0cin >> n >> m;for (int i = 1; i <= n; i++)cin >> s[i], s[i] = " " + s[i];for(int i=1;i<=n;i++)for (int j = 1; j <= m; j++){if (book[i][j] == 0 && s[i][j] == '1')//没访问过且为陆地{bfs(i, j);if (check(i, j))//判断是否在环岛内,不在则加一ans++;}}cout << ans << endl;
}
int main()
{int T;cin >> T;while (T--){ans = 0;solve();}
}
题目七(子串简写 尺取法):
代码:
#include <iostream>//尺取法
using namespace std;
int k, t;
string s;
long long sum = 0;
int main()
{char c1, c2;cin >> k >> s >> c1 >> c2;for (int j = 0; j < s.length(); j++){if (s[j] == c1) //t记录j及以前c1的个数t++;if (s[j + k - 1] == c2) //刚好满足k之后的是否为c2sum += t;}cout << sum;return 0;
}
题目八(整数删除):
代码:
#include<iostream>
#include<vector>
#include<queue>
#include<functional>//greater降序排序,less升序排序
#define int long long
using namespace std;
typedef pair<int, int> pii;
const int N = 5e5 + 10;
int a[N], l[N], r[N], st[N];//l存左下标,r存右下标
signed main()
{int n, k;cin >> n >> k;priority_queue<pii, vector<pii>, greater<pii>> q;//最小堆排序for (int i = 0; i < n; i++){cin >> a[i];q.push({ a[i],i });//存值和下标st[i] = a[i];//存值l[i] = i - 1;r[i] = i + 1;if (r[i] == n) r[i] = -1;}while (k)//k次操作{pii t = q.top();//取对顶q.pop();if (t.first != st[t.second])//值与之前不相等,则把新值,下标存入,重新排序{q.push({ st[t.second],t.second });continue;}k--;int pos = t.second;//取该次的下标if (l[pos] >= 0) st[l[pos]] += t.first;//左加值if (r[pos] >= 0) st[r[pos]] += t.first;//右加值if (l[pos] >= 0) r[l[pos]] = r[pos];//该左边值的右下标if (r[pos] >= 0) l[r[pos]] = l[pos];//该右边值的左下标st[pos] = -1;//标记为-1,表示移除队列}for (int i = 0; i < n; i++)//不等与-1的,按序输出{if (st[i] != -1)cout << st[i] << ' ';}return 0;
}