Problem:
Range Minimum Query (RMQ)

Write a program which manipulates a sequence A = {a0, a1, . . . , an-1} with the following operations:

find(s, t): report the minimum element in as, as+1, . . . ,at.

update(i, x): change ai to x.

Note that the initial values of ai (i = 0, 1, . . . , n−1) are 231-1.

Input

n q
com0 x0 y0
com1 x1 y1
...
comq−1 xq−1 yq−1

In the first line, n (the number of elements in A) and q (the number of queries) are given. Then, q queries are given where com represents the type of queries. '0' denotes update(xi, yi) and '1' denotes find(xi, yi).

Output

For each find operation, print the minimum element.

Constraints

1 ≤ n ≤ 100000

1 ≤ q ≤ 100000

If comi is 0, then 0 ≤ xi < n, 0 ≤ yi < 231-1.

If comi is 1, then 0 ≤ xi < n, 0 ≤ yi < n.

Sample Input 1

3 5
0 0 1
0 1 2
0 2 3
1 0 2
1 1 2

Sample Output 1

1
2

Sample Input 2

1 3
1 0 0
0 0 5
1 0 0

Sample Output 2

2147483647
5

Solution in Python3 (judge verdict: Accepted)

class SegmentTree:
    """Segment Tree (Point Update & Range Query)

    Query
        1. update(i, val): update i-th value to val
        2. query(low, high): find f(value) in [low, high)

    Complexity
        time complexity: O(log n)
        space complexity: O(n)
    """

    def __init__(self, N, f, default):
        self.N = 1 << (N-1).bit_length()
        self.default = default
        self.f = f
        self.segtree = [self.default] * ((self.N << 1) - 1)

    @classmethod
    def create_from_array(cls, arr, f, default):
        N = len(arr)
        self = cls(N, f, default)
        for i in range(N):
            self.segtree[self.N - 1 + i] = arr[i]

        for i in reversed(range(self.N - 1)):
            self.segtree[i] = self.f(
                self.segtree[(i << 1) + 1], self.segtree[(i << 1) + 2])
        return self

    def update(self, i, val):
        i += self.N - 1
        self.segtree[i] = val
        while i > 0:
            i = (i - 1) >> 1
            self.segtree[i] = self.f(
                self.segtree[(i << 1)+1], self.segtree[(i << 1)+2])

    def query(self, low, high):
        # query [l, r)
        low, high = low + self.N, high + self.N
        ret = self.default
        while low < high:
            if low & 1:
                ret = self.f(ret, self.segtree[low-1])
                low += 1
            if high & 1:
                high -= 1
                ret = self.f(ret, self.segtree[high-1])
            low, high = low >> 1, high >> 1
        return ret


def yosupo():
    # https://judge.yosupo.jp/problem/staticrmq
    _, Q = map(int, input().split())
    A = [int(x) for x in input().split()]
    rmq = SegmentTree.create_from_array(A, min, 10**9)
    for _ in range(Q):
        l, r = map(int, input().split())
        print(rmq.query(l, r))


def aoj():
    # https://onlinejudge.u-aizu.ac.jp/courses/library/3/DSL/2/DSL_2_A
    N, Q = map(int, input().split())
    default = (1 << 31) - 1
    rmq = SegmentTree(N, min, default)
    for _ in range(Q):
        com, x, y = map(int, input().split())
        if com == 0:
            rmq.update(x, y)
        else:
            print(rmq.query(x, y+1))


if __name__ == '__main__':
    # yosupo()
    aoj()