• 【HDOJ】3234 Exclusive-OR


    并查集。对于对元素赋值操作,更改为I p n v。令val[n]=0(任何数与0异或仍为原值)。
    考虑fa[x] = fx, fa[y] = fy。
    如果使得fa[fx] = fy, 那么val[fx] = TrueVal[fx] ^ TrueVal[fy] = (val[x] ^ TrueVal[x]) ^ (val[y] ^ TrueVal[y]) = (val[x] ^ val[y]) ^ (TrueVal[x] ^ TrueVal[y]) = val[x] ^ val[y] ^ z。
    同时每次find时,也需要更新val(因为fa不同了)。
    对于Query操作,有效的Query为cnt为偶数或者root为n。
    输出样例有问题,每个case后有空行。

      1 /* 3234 */
      2 #include <iostream>
      3 #include <string>
      4 #include <map>
      5 #include <queue>
      6 #include <set>
      7 #include <stack>
      8 #include <vector>
      9 #include <deque>
     10 #include <algorithm>
     11 #include <cstdio>
     12 #include <cmath>
     13 #include <ctime>
     14 #include <cstring>
     15 #include <climits>
     16 #include <cctype>
     17 #include <cassert>
     18 #include <functional>
     19 #include <iterator>
     20 #include <iomanip>
     21 using namespace std;
     22 //#pragma comment(linker,"/STACK:102400000,1024000")
     23 
     24 #define sti                set<int>
     25 #define stpii            set<pair<int, int> >
     26 #define mpii            map<int,int>
     27 #define vi                vector<int>
     28 #define pii                pair<int,int>
     29 #define vpii            vector<pair<int,int> >
     30 #define rep(i, a, n)     for (int i=a;i<n;++i)
     31 #define per(i, a, n)     for (int i=n-1;i>=a;--i)
     32 #define clr                clear
     33 #define pb                 push_back
     34 #define mp                 make_pair
     35 #define fir                first
     36 #define sec                second
     37 #define all(x)             (x).begin(),(x).end()
     38 #define SZ(x)             ((int)(x).size())
     39 #define lson            l, mid, rt<<1
     40 #define rson            mid+1, r, rt<<1|1
     41 
     42 const int maxn = 2e4+5;
     43 const int maxk = 20;
     44 int fa[maxn], val[maxn];
     45 int P[maxk], K;
     46 bool visit[maxk];
     47 int n;
     48 
     49 int find(int x) {
     50     if (fa[x] == x)
     51         return x;
     52     int tmp = fa[x];
     53     fa[x] = find(fa[x]);
     54     val[x] ^= val[tmp];
     55     return fa[x];
     56 }
     57 
     58 void init() {
     59     rep(i, 0, n+1) {
     60         val[i] = 0;
     61         fa[i] = i;
     62     }
     63 }
     64 
     65 bool merge(int u, int v, int x) {
     66     int fu = find(u);
     67     int fv = find(v);
     68 
     69     if (fu == fv) {
     70         return (val[u]^val[v]) == x;
     71     }
     72     
     73     if (fu == n)    swap(fu, fv);
     74     fa[fu] = fv;
     75     val[fu] = val[u]^val[v]^x;
     76     return true;
     77 }
     78 
     79 int Query() {
     80     int f, c;
     81     int ret = 0;
     82 
     83     memset(visit, false, sizeof(visit));
     84     rep(i, 0, K)
     85         find(P[i]);
     86     rep(i, 0, K) {
     87         if (visit[i])
     88             continue;
     89         f = fa[P[i]];
     90         c = 0;
     91         rep(j, i, K) {
     92             if (!visit[j] && fa[P[j]]==f) {
     93                 ++c;
     94                 visit[j] = true;
     95                 ret ^= val[P[j]];
     96             }
     97         }
     98         if (f!=n && (c&1))
     99             return -1;
    100     }
    101 
    102     return ret;
    103 }
    104 
    105 int main() {
    106     ios::sync_with_stdio(false);
    107     #ifndef ONLINE_JUDGE
    108         freopen("data.in", "r", stdin);
    109         freopen("data.out", "w", stdout);
    110     #endif
    111 
    112     int q;
    113     int isn;
    114     int a[5], c;
    115     int u, v, x;
    116     int ans;
    117     char cmd[3], line[105];
    118     bool flag;
    119     int t = 0;
    120 
    121     while (scanf("%d %d", &n, &q)!=EOF && (n||q)) {
    122         printf("Case %d:
    ", ++t);
    123         init();
    124         flag = true;
    125         isn = 0;
    126         while (q--) {
    127             scanf("%s%*c", cmd);
    128             if (cmd[0] == 'I') {
    129                 gets(line);
    130             } else {
    131                 scanf("%d", &K);
    132                 rep(i, 0, K)
    133                     scanf("%d", &P[i]);
    134             }
    135             if (!flag)
    136                 continue;
    137 
    138             if (cmd[0] == 'I') {
    139                 int len = strlen(line);
    140 
    141                 ++isn;
    142                 c = 0;
    143                 a[c] = 0;
    144                 rep(i, 0, len) {
    145                     if (line[i] == ' ') {
    146                         ++c;
    147                         a[c] = 0;
    148                     } else {
    149                         a[c] = 10*a[c] + line[i]-'0';
    150                     }
    151                 }
    152 
    153                 if (c == 1) {
    154                     u = a[0];
    155                     v = n;
    156                     x = a[1];
    157                 } else {
    158                     u = a[0];
    159                     v = a[1];
    160                     x = a[2];
    161                 }
    162                 
    163                 flag = merge(u, v, x);
    164 
    165                 if (!flag) {
    166                     printf("The first %d facts are conflicting.
    ", isn);
    167                 }
    168             } else {
    169                 ans = Query();
    170                 if (ans == -1) {
    171                     puts("I don't know.");
    172                 } else {
    173                     printf("%d
    ", ans);
    174                 }
    175             }
    176         }
    177         
    178         putchar('
    ');
    179     }
    180 
    181     #ifndef ONLINE_JUDGE
    182         printf("time = %d.
    ", (int)clock());
    183     #endif
    184 
    185     return 0;
    186 }
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  • 原文地址:https://www.cnblogs.com/bombe1013/p/4912782.html
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