feat: 添加P10136解题代码并优化P4818逻辑

添加新的解题代码P10136.cpp，实现特定算法功能。同时优化P4818.cpp中的路径检查逻辑，简化条件判断并修复潜在错误。

src/10/14/P4818.cpp

@@ -27,12 +27,7 @@ sl bool check(ll x, ll y, ll dir, bool is2) {
         return false;
     if (a[x][y] == 3 && !is2)
         return false;
-
-    if (a[x][y] == 4) {
-        return !vis[x][y][dir][false];
-    } else {
-        return !vis[x][y][0][is2];
-    }
+    return !vis[x][y][dir][is2];
 }
 
 int main() {
@@ -57,25 +52,14 @@ int main() {
             std::cout << s << "\n";
             return 0;
         }
-
-        if (a[x][y] == 4) {
+        
+        if (a[x][y] == 4 && check(x+dir[dd][0], y+dir[dd][1], dd, is2)) {
             ll nx = x + dir[dd][0], ny = y + dir[dd][1];
-
-            if (nx < 1 || nx > n || ny < 1 || ny > m)
-                continue;
-
             bool nis2 = (a[nx][ny] == 2);
-
-            if (!check(nx, ny, dd, nis2))
+            if (!check(nx, ny, dd, is2))
                 continue;
 
-            if (a[nx][ny] == 4) {
-
-                vis[nx][ny][dd][false] = true;
-            } else {
-
-                vis[nx][ny][0][nis2] = true;
-            }
+            vis[nx][ny][dd][nis2] = true;
 
             q.emplace_back(s + 1, nx, ny, dd, nis2);
             continue;
@@ -93,16 +77,17 @@ int main() {
             if (a[nx][ny] == 4)
                 nis2 = false;
 
-            if (!check(nx, ny, i, nis2))
-                continue;
-
-            if (a[nx][ny] == 4) {
-                vis[nx][ny][i][false] = true;
-            } else {
+            if(a[nx][ny]==4){
+                if (!check(nx, ny, i, is2))
+                    continue;
+                vis[nx][ny][i][nis2] = true;
+                q.emplace_back(s + 1, nx, ny, i, nis2);
+            }else{
+                if(!check(nx, ny, 0, is2))
+                    continue;
                 vis[nx][ny][0][nis2] = true;
+                q.emplace_back(s + 1, nx, ny, 0, nis2);
             }
-
-            q.emplace_back(s + 1, nx, ny, i, nis2);
         }
     }
     std::cout << "-1\n";

src/10/16/P10136.cpp

@@ -0,0 +1,58 @@
+#include <algorithm>
+#include <cstdint>
+#include <cstdlib>
+#include <iostream>
+#include <istream>
+#include <set>
+using ll = int64_t;
+
+const ll maxn = 1e4+5;
+ll n,a[maxn],mina=4e9+7,ans;
+
+int main(){
+    std::iostream::sync_with_stdio(false);
+    std::cin.tie(nullptr);
+
+    std::cin>>n;
+    for(ll i=1;i<=n;i++){
+        std::cin>>a[i];
+        mina=std::min(mina,a[i]);
+    }
+    std::sort(a+1,a+1+n);
+    n=std::unique(a+1,a+1+n)-(a+1);
+    if(n<4){
+        std::cout<< (mina/4)*(mina/4+1)/2 <<"\n";
+        return 0;
+    }
+    std::set<ll> yz;
+    for(ll i=1;i<=4;i++){
+        for(ll j=i+1;j<=4;j++){
+            if(i==j)continue;
+            ll now = std::abs(a[i]-a[j]);
+            for(ll k=1;k*k<=now;k++){
+                if(now%k==0){
+                    yz.insert(k);
+                    yz.insert(now / k); 
+                }
+            }
+        }
+    }
+    std::set<ll> sl;
+    for(const ll l:yz){
+        if (l == 0) continue;
+        if(l*4>mina)continue;
+        std::set<ll> cs;
+        for(ll i=1;i<=n;i++){
+            cs.insert(a[i]%l);
+            if(cs.size()>3){
+                goto nxt;
+            }
+        }
+        sl.insert(l);
+        nxt:;
+    }
+    for(ll i:sl){
+        ans+=i;
+    }
+    std::cout<<ans<<"\n";
+}