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uva 1401 Remember the Word(Trie dp)

2014-08-29 21:09 507 查看
s0s1...sn-1 是目标字符串

f[i] s0...si 的分解方案数

f[i + len - 1] = f[i + len - 1] + f[i - 1]

边界:f[-1] = 0

在Trie上dp

#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <vector>
#include <queue>
#include <stack>
#include <cassert>
#include <algorithm>
#include <cmath>
#include <limits>
#include <set>
#include <time.h>

using namespace std;

#define MIN(a, b) a < b ? a : b
#define MAX(a, b) a > b ? a : b
#define F(i, n) for (int i=0;i<(n);++i)
#define REP(i, s, t) for(int i=s;i<=t;++i)
#define UREP(i, s, t) for(int i=s;i>=t;--i)
#define REPOK(i, s, t, o) for(int i=s;i<=t && o;++i)
#define MEM0(addr, size) memset(addr, 0, size)
#define LBIT(x) x&-x

#define PI 3.1415926535897932384626433832795
#define HALF_PI 1.5707963267948966192313216916398
#define eps 1e-15

#define MAXN 300000
#define MAXM 100
#define MOD 20071027

typedef long long LL;

const double maxdouble = numeric_limits<double>::max();

int f[MAXN + 1];

int getval(int pos)
{
if (pos < 0)
return 1;
return f[pos];
}

const int CHARSET = 26, BASE = 'a', MAX_NODE = 4000*MAXM;
struct Trie {
int child[MAX_NODE + 1][CHARSET];
int val[MAX_NODE + 1];
//bool isWord[MAX_NODE + 1];
int sz;
Trie()
{
init();
}
void init()
{
sz = 1;
memset(child[0], 0, sizeof(child[0]));
}
int idx(char c)
{
return c - BASE;
}
void insert(const char *str)
{
int u = 0;
int len = strlen(str);
int c;
for (int i=0;i<len;++i) {
c = idx(str[i]);
if (!child[u][c]) {
memset(child[sz], 0, sizeof(child[sz]));
val[sz] = 0;
child[u][c] = sz++;
}
u = child[u][c];
}
val[u] = 1;
//isWord[u] = true;
}
int query(const char *str, int offset)
{
int u = 0;
int len = strlen(str);
int c;
F(i, len) {
c = idx(str[i]);
if (!child[u][c])
return 0;
u = child[u][c];
if (val[u]) {
//cout << str + i << endl;
f[offset + i] = (getval(offset - 1) + f[offset + i]) % MOD;
}
}
return val[u];
}
};

struct Trie trie;

int main()
{
freopen("input.in", "r", stdin);
//freopen("input.in", "w", stdout);
int n, m;
int len;
int cnt;
char str[MAXN + 5];
char buf[MAXM + 5];

cnt = 0;
while (scanf("%s", str) != EOF) {
if (strlen(str) == 0)
continue;
cin >> n;
F(i, n) {
scanf("%s", buf);
trie.insert(buf);
}

len = strlen(str);
F(i, len)
trie.query(str + i, i);

++cnt;
printf("Case %d: %d\n", cnt, f[len - 1]);
trie.init();
memset(f, 0, sizeof(f));
}

return 0;
}
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