递推与递归 DFS深度优先搜索

阅读时长: 4 分钟 941 字

原题单链接:https://www.luogu.com/paste/vjf2z3hi || https://rentry.org/5yhk52ow

例题

跳台阶

#include 
using namespace std;
const int N=1e5;
int a[N];

int f(int n)
{
    if(a[n])return a[n];
    if(n==1)return 1;
    if(n==2)return 2;
    a[n]=f(n-1)+f(n-2);
    return a[n];
}

int main()
{
    int n;
    cin>>n;
    cout
using namespace std;

const int N=20;
int st[N];
int maxn;

void dfs(int n) // n 表示当前走到第n个位置,1表示不选,2表示选,0表示还没选
{
    if(n>maxn){
        for(int i=1;i>maxn;
    dfs(1);
    return 0;
}

递归实现排列型枚举

#include 
using namespace std;

const int N=20;

int n;
bool st[N];
int arr[N];

void dfs(int x)
{
    if(x>n){
        for(int i=1;i>n;
    dfs(1);
    return 0;
}

递归实现组合型枚举

#include 
using namespace std;

const int N=25;

int n,r;
int arr[N];

void dfs(int x,int start)
{
    if(x>r){
        for(int i=1;i>n>>r;
    dfs(1,1);
    return 0;
}

P1036 选数

#include 
using namespace std;

const int N=25;

int n,k;
int arr[N],xn[N];
int ans=0;

bool isprime(int x)
{
    if(xk)
    {
        int sum=0;
        for (int i = 1; i >n>>k;
    for(int i=1;i>xn[i];
    }
    dfs(1,1);
    cout
using namespace std;

const int N = 20;

int n;
int arr[N];
int ans = 0;
vector> ansarr;

void dfs(int x, int sum)
{
    if (sum > n)
    {
        return;
    }

    if (x > 10)
    {
        if (sum == n)
        {
            ans++;
            vector temp;
            for (int i = 1; i > n;
    dfs(1, 0);
    cout 
using namespace std;

const int N = 6;

int n,m;
int arr[N],mars[N],res=0;
bool st[N];

void dfs(int x)
{
    if(x>n)
    {
        res++;
        if(res==m+1)
        for (int i = 1; i > n >> m;
    for(int i = 1; i > mars[i];
    }
    dfs(1);
    return 0;
}

P1149 火柴棒等式 指数 + 预处理

#include 
using namespace std;

int n;
int num[10010] = {6, 2, 5, 5, 4, 5, 6, 3, 7, 6};
int a[5];
int ans = 0;

int col(int x){
    if(num[x]){
        return num[x];
    }
    else{
        int tempsum = 0;
        while(x){
            tempsum += num[x % 10];
            x /= 10;
        }
        return tempsum;
    }
}

void dfs(int x,int sum)
{
    if (sum > n-4)
    {
        return;
    }
    if (x > 3)
    {
        if (a[1] + a[2] == a[3] && sum == n - 4)
        {
            ans++;
        }
        return;
    }

    for (int i = 0; i > n;
    for (int i = 10; i 
using namespace std;

int n;
int s[15];
int b[15];
int st[15];
int ans = 1e9;

void dfs(int x)
{
    if (x > n)
    {
        bool has_tl = false;
        int sums = 1;
        int sumb = 0;
        for (int i = 1; i > n;
    for (int i = 1; i > s[i] >> b[i];
    }
    dfs(1);
    cout 
using namespace std;

int n, a, b;
int k[210];
bool st[210];
int ans[210];

void dfs(int x, int cnt)
{
    // if (cnt >= ans)
    //     return;
    if (x  n)
        return;

    // if (x == b)
    // {
    //     ans = min(ans, cnt);
    //     return;
    // }

    ans[x] = cnt;
    // 上楼
    if (x + k[x]  0 && !st[x - k[x]] && cnt + 1 > n >> a >> b;
    for (int i = 1; i > k[i];
    }
    dfs(a, 0);
    if (ans[b] == 1e9)
        ans[b] = -1;
    cout 
using namespace std;

const int N = 25;
char g[N][N];
int w, h;
int dx[4] = {-1, 0, 1, 0};
int dy[4] = {0, 1, 0, -1};
bool vis[N][N];
int res=0;

void dfs(int a, int b)
{
    for(int i=0;i= h || y = w)continue;
        if(g[x][y] != '.')continue;
        if(vis[x][y])continue;
        vis[x][y] = true;
        res++;
        dfs(x, y);
    }
}

int main()
{
    cin >> w >> h;
    for (int i = 0; i > g[i][j];
    for (int i = 0; i 
using namespace std;

const int N = 110;
int n, m;
char g[N][N];
bool st[N][N];
int res = 0;
int dx[8] = {-1, -1, -1, 0, 1, 1, 1, 0};
int dy[8] = {-1, 0, 1, 1, 1, 0, -1, -1};

void dfs(int x, int y)
{
    for(int i = 0; i = n || b = m)
        {
            continue;
        }
        if(g[a][b] == 'W' && !st[a][b])
        {
            st[a][b] = true;
            dfs(a, b);
        }
    }
}

int main()
{
    cin >> n >> m;
    for (int i = 0; i > g[i][j];
        }
    }
    for (int i = 0; i 
using namespace std;

const int N = 10;
int n, k;
char g[N][N];
bool st[N];
int res = 0;

void dfs(int x, int cnt)
{
    if (cnt == k)
    {
        res++;
        return;
    }
    if (x >= n)
        return;
    for (int i = 0; i > n >> k, n > 0 && k > 0)
    {
        for (int i = 0; i > g[i];
        res = 0;
        dfs(0, 0);
        cout 
using namespace std;

const int N = 10;
int n, k;
int ans = 0;
int arr[N];

void dfs(int x, int start, int sum)
{
    if (sum > n)
        return;
    if (x > k)
    {
        if (sum == n)
        {
            ans++;
        }
        return;
    };
    for (int i = start; sum + i * (k - x + 1) > n >> k;
    dfs(1, 1, 0);
    cout 
using namespace std;

const int N = 25;
int n;
int ans = 0;
int used[N];
string s[N];
int g[N][N];

// dragon: the current dragon string
// x: the current index of the string
void dfs(string dragon, int x)
{
    ans = max(ans, (int)dragon.size());

    used[x]++;
    for(int i=0;i> n;
    for (int i = 0; i > s[i];
    }
    char start;
    cin >> start;

    for (int i = 0; i < n; i++)
        for (int j = 0; j < n; j++)
        {
            string a=s[i],b=s[j];
            for (int k = 1; k < min(a.size(),b.size()); k++)
            {
                if (a.substr(a.size()-k,k)==b.substr(0,k))
                {
                    g[i][j]=k;
                    break;
                }
            }
            
        }
    for (int i = 0; i < n; i++)
    {
        if (s[i][0] == start)
        {
            dfs(s[i], i);
        }
    }
    cout << ans << '\n';
    return 0;
}
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