結果

問題 No.875 Range Mindex Query
ユーザー lloyzlloyz
提出日時 2022-06-27 23:20:38
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 600 ms / 2,000 ms
コード長 4,359 bytes
コンパイル時間 499 ms
コンパイル使用メモリ 82,048 KB
実行使用メモリ 108,288 KB
最終ジャッジ日時 2024-11-20 07:14:16
合計ジャッジ時間 7,811 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge3
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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 AC 51 ms
54,144 KB
testcase_01 AC 82 ms
67,584 KB
testcase_02 AC 94 ms
72,320 KB
testcase_03 AC 59 ms
61,312 KB
testcase_04 AC 70 ms
63,872 KB
testcase_05 AC 55 ms
55,936 KB
testcase_06 AC 75 ms
66,688 KB
testcase_07 AC 83 ms
69,248 KB
testcase_08 AC 67 ms
64,512 KB
testcase_09 AC 68 ms
64,000 KB
testcase_10 AC 94 ms
71,936 KB
testcase_11 AC 592 ms
101,120 KB
testcase_12 AC 546 ms
92,544 KB
testcase_13 AC 530 ms
107,776 KB
testcase_14 AC 508 ms
104,064 KB
testcase_15 AC 578 ms
107,648 KB
testcase_16 AC 566 ms
108,032 KB
testcase_17 AC 600 ms
107,776 KB
testcase_18 AC 569 ms
108,288 KB
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 # 

class SegmentTree:

    __all__ = ['setval', 'pointupdate', 'segquery', 'segsearch_right', 'pointgetval']

    def __init__(self, n=10**6, idetify_elt=-10**9, func=max):
        assert (func(idetify_elt, idetify_elt) == idetify_elt)
        self._n = n
        self._seg_length_half = 2**(n-1).bit_length()
        self._idetify_elt = idetify_elt
        self._seg = [idetify_elt]*(2*self._seg_length_half)
        self._func = func

    def setval(self, x_list):
        '''Set value : A = x_list'''
        assert (len(x_list) == self._n)
        # Set value at the bottom
        for i in range(self._n):
            self._seg[i+self._seg_length_half-1] = x_list[i]    
        # Build value
        for i in range(self._seg_length_half-2, -1, -1):
            self._seg[i] = self._func(self._seg[2*i+1], self._seg[2*i+2])
    
    def pointupdate(self, k, x):
        '''Update : A[k] = x '''
        pos = k + self._seg_length_half - 1
        # Set value at k-th
        self._seg[pos] = x
        # Build bottom-up
        while pos:
            pos = (pos-1)//2
            self._seg[pos] = self._func(self._seg[pos*2+1], self._seg[pos*2+2])
    
    def pointgetval(self, k):
        ''' Return A[k] '''
        return self._seg[k + self._seg_length_half - 1]

    def segquery(self, left, right):
        ''' Return func(A[left], ... , A[right-1]) '''
        # if not left < right
        if right <= left:
            return self._idetify_elt
        
        func_value = self._idetify_elt
        leftpos = left + self._seg_length_half - 1 # leftmost segment
        rightpos = right + self._seg_length_half - 2 # rightmost segment

        while leftpos < rightpos-1:
            if leftpos&1 == 0:
                # if leftpos is right-child
                func_value = self._func(func_value, self._seg[leftpos])
            if rightpos&1 == 1:
                # if rightpos is leftchild
                func_value = self._func(func_value, self._seg[rightpos])
                rightpos -= 1
            # move up
            leftpos = leftpos//2
            rightpos = (rightpos-1)//2
        
        func_value = self._func(func_value, self._seg[leftpos])
        if leftpos != rightpos:
            func_value = self._func(func_value, self._seg[rightpos])
        return func_value

    def segsearch_right(self, condfunc, left=0):
        ''' Return min_i satisfying condfunc( func( A[left], ... , A[i])) 
        if impossible : return n
        '''
        # if impossible (ie. condfunc( func( A[left], ... , A[-1])) is False)
        if not condfunc(self._segquery(left, self._n)):
            return self._n
        
        # possible
        func_value = self._idetify_elt
        rightpos = left + self._seg_length_half - 1
        while True: 
            # while rightpos is the left-child, move bottom-up
            while rightpos&1 == 1:
                rightpos //= 2
            # try
            up_value_trial = self._func(func_value, self._seg[rightpos])
            if not condfunc(up_value_trial):
                # move up and right
                func_value = up_value_trial
                rightpos = (rightpos-1)//2 + 1
            else:
                # move top-down
                while rightpos < self._seg_length_half-1:
                    down_value_trial = self._func(func_value, self._seg[rightpos*2 + 1])
                    if condfunc(down_value_trial):
                        # move left-child
                        rightpos = rightpos*2 + 1
                    else:
                        # move right-child
                        func_value = down_value_trial
                        rightpos = rightpos*2 + 2
                return rightpos - self._seg_length_half + 1
from collections import defaultdict

n, q = map(int, input().split())
A = list(map(int, input().split()))
segtree = SegmentTree(n, 10**9, min)
segtree.setval(A)
val_to_idx = defaultdict(int)
for i in range(n):
    val_to_idx[A[i]] = i + 1
for _ in range(q):
    d, l, r = map(int, input().split())
    if d == 1:
        l -= 1
        r -= 1
        pl, pr = segtree.pointgetval(l), segtree.pointgetval(r)
        segtree.pointupdate(l, pr)
        segtree.pointupdate(r, pl)
        val_to_idx[pl] = r + 1
        val_to_idx[pr] = l + 1
    else:
        val = segtree.segquery(l - 1, r)
        print(val_to_idx[val])
0