【8.16校内测试】【队列】【数学】【网络流/二分图最大匹配】

在一个队列中一次加入每一个字符,每次更新当前队列中的状态,当满足存在26个不同字符时,更新答案,删除队首。

 1 #include<iostream>
 2 #include<cstring>
 3 #include<cstdio>
 4 #include<queue>
 5 #define RG register
 6 using namespace std;
 7 
 8 char s[2000005];
 9 int len, nex[2000005], flag[30];
10 int q[2000005];
11 
12 int main ( ) {
13     freopen ( "str.in", "r", stdin );
14     freopen ( "str.out", "w", stdout );
15     scanf ( "%s", s );
16     len = strlen ( s );
17     for ( RG int i = 0; i < len; i ++ )
18         flag[s[i]-'A'] = 1;
19     int fl = 0;
20     for ( RG int i = 0; i < 26; i ++ )    
21         if ( !flag[i] ) {
22             fl = 1; break;
23         }
24     if ( fl ) {
25         printf ( "QwQ" );     return 0;
26     }
27     int num = 0, ans = 0x3f3f3f3f, h = 0, t = 0;
28     memset ( flag, 0, sizeof ( flag ) );
29     for ( RG int i = 0; i < len; i ++ ) {
30         q[++t] = s[i]-'A'; flag[s[i]-'A'] ++;
31         if ( flag[s[i]-'A'] == 1 ) num ++;
32         while ( t-h && num == 26 ) {
33             ans = min ( ans, t-h );
34             int x = q[h+1]; h ++;
35             flag[x] --;
36             if ( !flag[x] ) num --;
37         }
38     }
39     printf ( "%d", ans );
40 }

一开始想的分解质因数,再通过每个质因子的个数来判断是否成立,可是一开始就错了...以为1e9开方是1e3...

方法是先将x和y乘起来,因为题目有一个性质,他们的乘积一定是一个数的3次方,设这个数为k,因为x和y中每次游戏要不是有一个k1值,要不是有两个,所以x和y必然可以整除k。三个判断条件即可。【注意】二分求k值时不能让k大于1e6,三方爆long long。

 1 #include<iostream>
 2 #include<cstdio>
 3 #include<cmath>
 4 #define ll long long
 5 using namespace std;
 6 
 7 ll x, y;
 8 int num1[400001], num2[400001];
 9 int prime[400001], tot, isnot[400001];
10 
11 void read ( ll &x ) {
12     x = 0; char ch = getchar ( ); int t = 1;
13     while ( ch > '9' || ch < '0' ) {
14         if ( ch == '-' ) t = -1; ch = getchar ( );
15     }
16     while ( ch >= '0' && ch <= '9' ) {
17         x = x * 10 + ch - '0';
18         ch = getchar ( );
19     }
20     x = x * t;
21 }
22 
23 inline int gcd ( int a, int b ) {
24     return b == 0 ? a : gcd ( b, a % b );
25 }
26 
27 ll erfen ( ll qwq ) {
28     ll l = 1, r = min ( sqrt ( qwq ), 1e6 ), res;
29     while ( l <= r ) {
30         ll mid = ( l + r ) >> 1;
31         if ( mid * mid * mid <= qwq ) {
32             l = mid + 1; res = mid;
33         } else r = mid - 1;
34     }
35     return res;
36 }
37 
38 int main ( ) {
39     freopen ( "game.in", "r", stdin );
40     freopen ( "game.out", "w", stdout );
41     int T;
42     scanf ( "%d", &T );
43     while ( T -- ) {
44         int fl = 0;
45         read ( x ); read ( y );
46         ll g = 1ll * x * y;
47         ll qwq = erfen ( g );
48         if ( qwq * qwq * qwq != g ) fl = 1;
49         if ( x % qwq != 0 || y % qwq != 0 ) fl = 1;
50         if ( fl ) printf ( "No\n" );
51         else printf ( "Yes\n" );
52     }
53     return 0;
54 }

比较经典的一道题,分别把按行放木板和按列放木板给每一块泥地标号,可以连着放的号数一样。把每一个泥地的行号连向列号,跑最小割或者最大匹配即可。

  1 #include<iostream>
  2 #include<cstdio>
  3 #include<cstring>
  4 #include<queue>
  5 #define inf 0x3f3f3f3f
  6 using namespace std;
  7 
  8 int r, c;
  9 char a[55][55];
 10 int num1[55][55], num2[55][55], cnt1, cnt2, s, t;
 11 
 12 int stot = 1, h[10005], tov[200005], nex[200005], f[200005], hh[10005];
 13 void add ( int u, int v, int ff ) {
 14     tov[++stot] = v;
 15     f[stot] = ff;
 16     nex[stot] = h[u];
 17     h[u] = stot;
 18     
 19     tov[++stot] = u;
 20     f[stot] = 0;
 21     nex[stot] = h[v];
 22     h[v] = stot;
 23 }
 24 
 25 int dep[1005], vis[1005];
 26 queue < int > q;
 27 bool bfs ( ) {
 28     memset ( dep, 0, sizeof ( dep ) );
 29     memset ( vis, 0, sizeof ( vis ) );
 30     q.push ( s );    vis[s] = 1;
 31     while ( !q.empty ( ) ) {
 32         int u = q.front ( ); q.pop ( );
 33         for ( int i = h[u]; i; i = nex[i] ) {
 34             int v = tov[i];
 35             if ( !vis[v] && f[i] ) {
 36                 dep[v] = dep[u] + 1;
 37                 vis[v] = 1;
 38                 q.push ( v );
 39             }
 40         }
 41     }
 42     return vis[t];
 43 }
 44 
 45 int dfs ( int u, int delta ) {
 46     if ( u == t ) return delta;
 47     int res = 0;
 48     for ( int i = hh[u]; i && delta; i = nex[i] ) {
 49         int v = tov[i];
 50         if ( dep[v] == dep[u] + 1 && f[i] ) {
 51             int dd = dfs ( v, min ( f[i], delta ) );
 52             f[i] -= dd;
 53             f[i^1] += dd;
 54             delta -= dd;
 55             res += dd;
 56             hh[u] = i;
 57         }
 58     }
 59     return res;
 60 }
 61 
 62 void debug ( ) {
 63     for ( int i = 0; i < r; i ++ ) {
 64         for ( int j = 0; j < c; j ++ )
 65             printf ( "%d ", num1[i][j] );
 66         cout << endl;
 67     }
 68     cout << endl;
 69     for ( int i = 0; i < r; i ++ ) {
 70         for ( int j = 0; j < c; j ++ )
 71             printf ( "%d ", num2[i][j] );
 72         cout << endl;
 73     }
 74 }
 75 
 76 int main ( ) {
 77     freopen ( "cover.in", "r", stdin );
 78     freopen ( "cover.out", "w", stdout );
 79     scanf ( "%d%d", &r, &c );
 80     for ( int i = 0; i < r; i ++ )
 81         scanf ( "%s", a[i] );
 82     for ( int i = 0; i < r; i ++ )
 83         for ( int j = 0; j < c; j ++ ) {
 84             if ( j != 0 && a[i][j] == '*' && a[i][j-1] == '*' )     num1[i][j] = num1[i][j-1];
 85             else if ( a[i][j] == '*' ){
 86                 cnt1 ++;    num1[i][j] = cnt1;
 87             }
 88             if ( i != 0 && a[i][j] == '*' && a[i-1][j] == '*' )     num2[i][j] = num2[i-1][j];
 89             else if ( a[i][j] == '*' ){
 90                 cnt2 ++;     num2[i][j] = cnt2;
 91             }
 92         }
 93     //debug ( );
 94     for ( int i = 0; i < r; i ++ )
 95         for ( int j = 0; j < c; j ++ )
 96             if ( a[i][j] == '*' ) {
 97                 //printf ( "%d->%d+%d\n", num1[i][j], num2[i][j], cnt1 );
 98                 add ( num1[i][j], num2[i][j] + cnt1, 1 );
 99             }
100     s = 0, t = cnt1+cnt2+1;
101     for ( int i = 1; i <= cnt1; i ++ )
102         add ( s, i, 1 );
103     for ( int i = 1; i <= cnt2; i ++ )
104         add ( i + cnt1, t, 1 );
105     int ans = 0;
106     while ( bfs ( ) ) {
107         for ( int i = 0; i <= cnt1 + cnt2 + 1; i ++ )
108             hh[i] = h[i];
109         ans += dfs ( s, 0x3f3f3f3f );
110     }
111     printf ( "%d", ans );
112     return 0;
113 }

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转载自www.cnblogs.com/wans-caesar-02111007/p/9487069.html