|
| 1 | +import math |
| 2 | +import sys |
| 3 | + |
| 4 | +read = lambda: sys.stdin.readline().rstrip() |
| 5 | + |
| 6 | + |
| 7 | +class Problem: |
| 8 | + def __init__(self): |
| 9 | + self.n = int(read()) |
| 10 | + self.nums = list(map(int, read().split())) |
| 11 | + |
| 12 | + self.m = int(read()) |
| 13 | + self.queries = [map(int, read().split()) for _ in range(self.m)] |
| 14 | + |
| 15 | + def solve(self) -> None: |
| 16 | + tree = self.make_tree() |
| 17 | + |
| 18 | + for command, x, y in self.queries: |
| 19 | + if command == 1: |
| 20 | + tree = self.update_tree(tree, x - 1, y) |
| 21 | + |
| 22 | + if command == 2: |
| 23 | + print(self.query(tree, x - 1, y)) |
| 24 | + |
| 25 | + def make_tree(self) -> list[tuple[int, int]]: |
| 26 | + tree = [(0, 0)] * self.n * 2 |
| 27 | + |
| 28 | + for idx in range(self.n): |
| 29 | + tree[self.n + idx] = (idx + 1, self.nums[idx]) |
| 30 | + |
| 31 | + for idx in range(self.n - 1, 0, -1): |
| 32 | + tree[idx] = self.select(tree[idx << 1], tree[(idx << 1) | 1]) |
| 33 | + |
| 34 | + return tree |
| 35 | + |
| 36 | + def update_tree(self, tree: list[tuple[int, int]], idx: int, value: int) -> list[tuple[int, int]]: |
| 37 | + node = self.n + idx |
| 38 | + tree[node] = (tree[node][0], value) |
| 39 | + |
| 40 | + while node: |
| 41 | + node >>= 1 |
| 42 | + tree[node] = self.select(tree[node << 1], tree[(node << 1) | 1]) |
| 43 | + |
| 44 | + return tree |
| 45 | + |
| 46 | + def query(self, tree: list[tuple[int, int]], start: int, end: int) -> int: |
| 47 | + left, right, value = self.n + start, self.n + end, (math.inf, math.inf) |
| 48 | + |
| 49 | + while left < right: |
| 50 | + if left & 1: |
| 51 | + value = self.select(value, tree[left]) |
| 52 | + left += 1 |
| 53 | + |
| 54 | + if right & 1: |
| 55 | + right -= 1 |
| 56 | + value = self.select(value, tree[right]) |
| 57 | + |
| 58 | + left >>= 1 |
| 59 | + right >>= 1 |
| 60 | + |
| 61 | + return value[0] |
| 62 | + |
| 63 | + def select(self, x: tuple[int, int], y: tuple[int, int]) -> tuple[int, int]: |
| 64 | + x_idx, x_value = x |
| 65 | + y_idx, y_value = y |
| 66 | + |
| 67 | + if x_value != y_value: |
| 68 | + return x if x_value < y_value else y |
| 69 | + |
| 70 | + return x if x_idx < y_idx else y |
| 71 | + |
| 72 | + |
| 73 | +if __name__ == "__main__": |
| 74 | + Problem().solve() |
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