結果

問題 No.515 典型LCP
ユーザー shotoyooshotoyoo
提出日時 2020-09-20 17:26:54
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 6,511 bytes
コンパイル時間 177 ms
コンパイル使用メモリ 82,180 KB
実行使用メモリ 449,096 KB
最終ジャッジ日時 2024-06-24 10:50:23
合計ジャッジ時間 4,873 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge4
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 TLE -
testcase_01 -- -
testcase_02 -- -
testcase_03 -- -
testcase_04 -- -
testcase_05 -- -
testcase_06 -- -
testcase_07 -- -
testcase_08 -- -
testcase_09 -- -
testcase_10 -- -
testcase_11 -- -
testcase_12 -- -
testcase_13 -- -
testcase_14 -- -
testcase_15 -- -
testcase_16 -- -
権限があれば一括ダウンロードができます

ソースコード

diff # 

import sys
input = lambda : sys.stdin.readline().rstrip()
sys.setrecursionlimit(max(1000, 10**9))
write = lambda x: sys.stdout.write(x+"\n")


from copy import copy
def sa_naive(s):
    n = len(s)
    sa = list(range(n))
    sa.sort(key=lambda x: s[x:])
    return sa

def sa_doubling(s):
    n = len(s)
    sa = list(range(n))
    rnk = copy(s)
    tmp = [0] * n
    k = 1
    while k < n:
        sa.sort(key=lambda x: (rnk[x], rnk[x + k])
                if x + k < n else (rnk[x], -1))
        tmp[sa[0]] = 0
        for i in range(1, n):
            tmp[sa[i]] = tmp[sa[i - 1]]
            if sa[i - 1] + k < n:
                x = (rnk[sa[i - 1]], rnk[sa[i - 1] + k])
            else:
                x = (rnk[sa[i - 1]], -1)
            if sa[i] + k < n:
                y = (rnk[sa[i]], rnk[sa[i] + k])
            else:
                y = (rnk[sa[i]], -1)
            if x < y:
                tmp[sa[i]] += 1
        k *= 2
        tmp, rnk = rnk, tmp
    return sa

def sa_is(s, upper):
    n = len(s)
    if n == 0:
        return []
    if n == 1:
        return [0]
    if n == 2:
        if s[0] < s[1]:
            return [0, 1]
        else:
            return [1, 0]
    if n < 10:
        return sa_naive(s)
    if n < 50:
        return sa_doubling(s)
    ls = [0] * n
    for i in range(n-2, -1, -1):
        ls[i] = ls[i + 1] if s[i] == s[i + 1] else s[i] < s[i + 1]
    sum_l = [0] * (upper + 1)
    sum_s = [0] * (upper + 1)
    for i in range(n):
        if ls[i]:
            sum_l[s[i] + 1] += 1
        else:
            sum_s[s[i]] += 1
    for i in range(upper):
        sum_s[i] += sum_l[i]
        if i < upper:
            sum_l[i + 1] += sum_s[i]
    lms_map = [-1] * (n + 1)
    m = 0
    for i in range(1, n):
        if not ls[i - 1] and ls[i]:
            lms_map[i] = m
            m += 1
    lms = []
    for i in range(1, n):
        if not ls[i - 1] and ls[i]:
            lms.append(i)
    sa = [-1] * n
    buf = sum_s.copy()
    for d in lms:
        if d == n:
            continue
        sa[buf[s[d]]] = d
        buf[s[d]] += 1
    buf = sum_l.copy()
    sa[buf[s[n - 1]]] = n - 1
    buf[s[n - 1]] += 1
    for i in range(n):
        v = sa[i]
        if v >= 1 and not ls[v - 1]:
            sa[buf[s[v - 1]]] = v - 1
            buf[s[v - 1]] += 1
    buf = sum_l.copy()
    for i in range(n-1, -1, -1):
        v = sa[i]
        if v >= 1 and ls[v - 1]:
            buf[s[v - 1] + 1] -= 1
            sa[buf[s[v - 1] + 1]] = v - 1
    if m:
        sorted_lms = []
        for v in sa:
            if lms_map[v] != -1:
                sorted_lms.append(v)
        rec_s = [0] * m
        rec_upper = 0
        rec_s[lms_map[sorted_lms[0]]] = 0
        for i in range(1, m):
            l = sorted_lms[i - 1]
            r = sorted_lms[i]
            end_l = lms[lms_map[l] + 1] if lms_map[l] + 1 < m else n
            end_r = lms[lms_map[r] + 1] if lms_map[r] + 1 < m else n
            same = True
            if end_l - l != end_r - r:
                same = False
            else:
                while l < end_l:
                    if s[l] != s[r]:
                        break
                    l += 1
                    r += 1
                if l == n or s[l] != s[r]:
                    same = False
            if not same:
                rec_upper += 1
            rec_s[lms_map[sorted_lms[i]]] = rec_upper
        rec_sa = sa_is(rec_s, rec_upper)
        for i in range(m):
            sorted_lms[i] = lms[rec_sa[i]]
        sa = [-1] * n
        buf = sum_s.copy()
        for d in sorted_lms:
            if d == n:
                continue
            sa[buf[s[d]]] = d
            buf[s[d]] += 1
        buf = sum_l.copy()
        sa[buf[s[n - 1]]] = n - 1
        buf[s[n - 1]] += 1
        for i in range(n):
            v = sa[i]
            if v >= 1 and not ls[v - 1]:
                sa[buf[s[v - 1]]] = v - 1
                buf[s[v - 1]] += 1
        buf = sum_l.copy()
        for i in range(n-1, -1, -1):
            v = sa[i]
            if v >= 1 and ls[v - 1]:
                buf[s[v - 1] + 1] -= 1
                sa[buf[s[v - 1] + 1]] = v - 1
    return sa

def suffix_array(s, upper=None):
    """sは文字列または0以上の整数のリスト
    """
    if isinstance(s, str):
        s = [ord(c) for c in s]
    if upper is None:
        upper = max(s) + 1
    return sa_is(s, upper)

def lcp_array(s, sa):
    n = len(s)
    rnk = [0] * n
    for i in range(n):
        rnk[sa[i]] = i
    lcp = [0] * (n - 1)
    h = 0
    for i in range(n):
        if h > 0:
            h -= 1
        if rnk[i] == 0:
            continue
        j = sa[rnk[i] - 1]
        while j + h < n and i + h < n:
            if s[j + h] != s[i + h]:
                break
            h += 1
        lcp[rnk[i] - 1] = h
    return lcp

def preproc(l):
    """リスト中の文字列→ ord()で置き換え
    それ以外→ ord()の最大値より大きい値で置き換え
    """
    d = {}
    i = ord("z") + 1000
    for ind,item in enumerate(s):
        if item not in d:
            if isinstance(item, str) and len(item)==1:
                d[item] = ord(item)
            else:
                d[item] = i
                i += 1
        s[ind] = d[item]

class SparseTable:
    op = min
    def __init__(self, a):
        n = len(a)
        t = []
        c = 1
        l = a
        while True:
            t.append(l)
            c *= 2
            if c>n:
                break
            v = c//2
            l = [self.op(l[i], l[i+v]) for i in range(n-v)] + l[-v:]
        self.t = t
    def query(self, l, r):
        """a[l,r)の最小値
        assert l<r and l,r<n
        """
        # t[i][j]: a[j:j+2^i)の最小値
        b = (r-l).bit_length()-1
        return self.op(self.t[b][l], self.t[b][r-(1<<b)])
            
n = int(input())
s = []
# tmp = [None]*n
tmp = {}
for i in range(n):
#     tmp[i] = len(s)
    tmp[len(s)] = i
    s.extend(list(input()))
    s.append(i)
    
preproc(s)
sa = suffix_array(s)
rsa = [None]*n
for i,item in enumerate(sa):
    if item in tmp:
        rsa[tmp[item]] = i
lcp = lcp_array(s, sa)
st = SparseTable(lcp)

M,x,d = map(int, input().split())
ans = 0
def sub(i,j):
    ii,jj = rsa[i], rsa[j]
    if ii>jj:
        ii,jj = jj,ii
    return st.query(ii,jj)
for k in range(1, M+1):
    i = (x // (n-1)) + 1
    j = (x % (n-1)) + 1
    if i>j:
        i,j = j,i
    else:
        j += 1
    x = (x + d) % (n * (n-1))
#     print(i,j)
    ans += sub(i-1,j-1)
print(ans)
0