Problem:


Score : 100 points

Problem Statement

You are given a binary array A=(A_1,A_2,\cdots,A_N) of length N. 

Process Q queries of the following types. The i-th query is represented by three integers T_i,L_i,R_i.

T_i=1: Replace the value of A_j with 1-A_j for each L_i \leq j \leq R_i.

T_i=2: Calculate the inversion(*) of the array A_{L_i},A_{L_i+1},\cdots,A_{R_i}．

Note：The inversion of the array x_1,x_2,\cdots,x_k is the number of the pair of integers i,j with 1 \leq i < j \leq k, x_i > x_j.

Constraints

1 \leq N \leq 2 \times 10^5

0 \leq A_i \leq 1

1 \leq Q \leq 2 \times 10^5

1 \leq T_i \leq 2

1 \leq L_i \leq R_i \leq N

All values in Input are integer.

Input

Input is given from Standard Input in the following format:

N Q
A_1 A_2 \cdots A_N
T_1 L_1 R_1
T_2 L_2 R_2
\vdots
T_Q L_Q R_Q

Output

For each query with T_i=2, print the answer.

Sample Input 1

5 5
0 1 0 0 1
2 1 5
1 3 4
2 2 5
1 1 3
2 1 2

Sample Output 1

2
0
1

First query: Print 2, which is the inversion of (A_1,A_2,A_3,A_4,A_5)=(0,1,0,0,1).

Second query: Replace the value of A_3 and A_4 with 1 and 1, respectively.

Third query: Print 0, which is the inversion of (A_2,A_3,A_4,A_5)=(1,1,1,1).

Fourth query: Replace the value of A_1, A_2 and A_4 with 1, 0 and 0, respectively.

Fifth query: Print 1, which is the inversion of (A_1,A_2)=(1,0).



Sample input:
5 5
0 1 0 0 1
2 1 5
1 3 4
2 2 5
1 1 3
2 1 2


Sample output:
2
0
1

Submission status: Accepted

Solution code:
import sys
input = lambda: sys.stdin.readline().rstrip()
 
class LazySegmentTree():
    def __init__(self, init, unitX, unitA, f, g, h):
        self.f = f # (X, X) -> X
        self.g = g # (X, A, size) -> X
        self.h = h # (A, A) -> A
        self.unitX = unitX
        self.unitA = unitA
        self.f = f
        if type(init) == int:
            self.n = init
            # self.n = 1 << (self.n - 1).bit_length()
            self.X = [unitX] * (self.n * 2)
            self.size = [1] * (self.n * 2)
        else:
            self.n = len(init)
            # self.n = 1 << (self.n - 1).bit_length()
            self.X = [unitX] * self.n + init + [unitX] * (self.n - len(init))
            self.size = [0] * self.n + [1] * len(init) + [0] * (self.n - len(init))
            for i in range(self.n-1, 0, -1):
                self.X[i] = self.f(self.X[i*2], self.X[i*2|1])
    
        for i in range(self.n - 1, 0, -1):
            self.size[i] = self.size[i*2] + self.size[i*2|1]
        
        self.A = [unitA] * (self.n * 2)
        
    def update(self, i, x):
        i += self.n
        self.X[i] = x
        i >>= 1
        while i:
            self.X[i] = self.f(self.X[i*2], self.X[i*2|1])
            i >>= 1
    
    def calc(self, i):
        return self.g(self.X[i], self.A[i], self.size[i])
    
    def calc_above(self, i):
        i >>= 1
        while i:
            self.X[i] = self.f(self.calc(i*2), self.calc(i*2|1))
            i >>= 1
    
    def propagate(self, i):
        self.X[i] = self.g(self.X[i], self.A[i], self.size[i])
        self.A[i*2] = self.h(self.A[i*2], self.A[i])
        self.A[i*2|1] = self.h(self.A[i*2|1], self.A[i])
        self.A[i] = self.unitA
        
    def propagate_above(self, i):
        H = i.bit_length()
        for h in range(H, 0, -1):
            self.propagate(i >> h)
    
    def propagate_all(self):
        for i in range(1, self.n):
            self.propagate(i)
    
    def getrange(self, l, r):
        l += self.n
        r += self.n
        l0, r0 = l // (l & -l), r // (r & -r) - 1
        self.propagate_above(l0)
        self.propagate_above(r0)
        
        al = self.unitX
        ar = self.unitX
        while l < r:
            if l & 1:
                al = self.f(al, self.calc(l))
                l += 1
            if r & 1:
                r -= 1
                ar = self.f(self.calc(r), ar)
            l >>= 1
            r >>= 1
        return self.f(al, ar)
    
    def getvalue(self, i):
        i += self.n
        self.propagate_above(i)
        return self.calc(i)
    
    def operate_range(self, l, r, a):
        l += self.n
        r += self.n
        l0, r0 = l // (l & -l), r // (r & -r) - 1
        self.propagate_above(l0)
        self.propagate_above(r0)
        while l < r:
            if l & 1:
                self.A[l] = self.h(self.A[l], a)
                l += 1
            if r & 1:
                r -= 1
                self.A[r] = self.h(self.A[r], a)
            l >>= 1
            r >>= 1
        
        self.calc_above(l0)
        self.calc_above(r0)
    
    # Find r s.t. calc(l, ..., r-1) = True and calc(l, ..., r) = False
    def max_right(self, l, z):
        if l >= self.n: return self.n
        l += self.n
        s = self.unitX
        while 1:
            while l % 2 == 0:
                l >>= 1
            if not z(self.f(s, self.calc(l))):
                while l < self.n:
                    l *= 2
                    if z(self.f(s, self.calc(l))):
                        s = self.f(s, self.calc(l))
                        l += 1
                return l - self.n
            s = self.f(s, self.calc(l))
            l += 1
            if l & -l == l: break
        return self.n
    
    # Find l s.t. calc(l, ..., r-1) = True and calc(l-1, ..., r-1) = False
    def min_left(self, r, z):
        if r <= 0: return 0
        r += self.n
        s = self.unitX
        while 1:
            r -= 1
            while r > 1 and r % 2:
                r >>= 1
            if not z(self.f(self.calc(r), s)):
                while r < self.n:
                    r = r * 2 + 1
                    if z(self.f(self.calc(r), s)):
                        s = self.f(self.calc(r), s)
                        r -= 1
                return r + 1 - self.n
            s = self.f(self.calc(r), s)
            if r & -r == r: break
        return 0
    
    def debug(self):
        X = self.X
        print("X =", [self.calc(i) for i in range(self.n, self.n * 2)])

if False:
    f = lambda x, y: (x[0] + y[0] + x[2] * y[1], x[1] + y[1], x[2] + y[2])
    g = lambda x, a, s: (x[1] * x[2] - x[0], x[2], x[1]) if a else x
    h = lambda a, b: a ^ b
    unitX = (0, 0, 0)
    unitA = 0

# (inversion, number of zeros, number of ones)
mm = (1 << 18) - 1
mmm = ((1 << 18) - 1) << 18
def f(x, y):
    return x + y + ((x & mm) * (y & mmm) << 18)
def g(x, a, s):
    x0, x1, x2 = x >> 36, (x >> 18) & mm, x & mm
    return (x1 * x2 - x0 << 36) + (x2 << 18) + x1 if a else x
def h(a, b):
    return a ^ b
unitX = 0
unitA = 0

N, Q = map(int, input().split())
A = [(1 << 18) if int(a) == 0 else 1 for a in input().split()]
st = LazySegmentTree(A, unitX, unitA, f, g, h)

for _ in range(Q):
    t, l, r = map(int, input().split())
    if t == 1:
        st.operate_range(l - 1, r, 1)
    else:
        print(st.getrange(l - 1, r) >> 36)

Submission status: Accepted

Solution code:
import sys
input = lambda: sys.stdin.readline().rstrip()
 
class LazySegmentTree():
    def __init__(self, init, unitX, unitA, f, g, h):
        self.f = f # (X, X) -> X
        self.g = g # (X, A, size) -> X
        self.h = h # (A, A) -> A
        self.unitX = unitX
        self.unitA = unitA
        self.f = f
        if type(init) == int:
            self.n = init
            # self.n = 1 << (self.n - 1).bit_length()
            self.X = [unitX] * (self.n * 2)
            self.size = [1] * (self.n * 2)
        else:
            self.n = len(init)
            # self.n = 1 << (self.n - 1).bit_length()
            self.X = [unitX] * self.n + init + [unitX] * (self.n - len(init))
            self.size = [0] * self.n + [1] * len(init) + [0] * (self.n - len(init))
            for i in range(self.n-1, 0, -1):
                self.X[i] = self.f(self.X[i*2], self.X[i*2|1])
    
        for i in range(self.n - 1, 0, -1):
            self.size[i] = self.size[i*2] + self.size[i*2|1]
        
        self.A = [unitA] * (self.n * 2)
        
    def update(self, i, x):
        i += self.n
        self.X[i] = x
        i >>= 1
        while i:
            self.X[i] = self.f(self.X[i*2], self.X[i*2|1])
            i >>= 1
    
    def calc(self, i):
        return self.g(self.X[i], self.A[i], self.size[i])
    
    def calc_above(self, i):
        i >>= 1
        while i:
            self.X[i] = self.f(self.calc(i*2), self.calc(i*2|1))
            i >>= 1
    
    def propagate(self, i):
        self.X[i] = self.g(self.X[i], self.A[i], self.size[i])
        self.A[i*2] = self.h(self.A[i*2], self.A[i])
        self.A[i*2|1] = self.h(self.A[i*2|1], self.A[i])
        self.A[i] = self.unitA
        
    def propagate_above(self, i):
        H = i.bit_length()
        for h in range(H, 0, -1):
            self.propagate(i >> h)
    
    def propagate_all(self):
        for i in range(1, self.n):
            self.propagate(i)
    
    def getrange(self, l, r):
        l += self.n
        r += self.n
        l0, r0 = l // (l & -l), r // (r & -r) - 1
        self.propagate_above(l0)
        self.propagate_above(r0)
        
        al = self.unitX
        ar = self.unitX
        while l < r:
            if l & 1:
                al = self.f(al, self.calc(l))
                l += 1
            if r & 1:
                r -= 1
                ar = self.f(self.calc(r), ar)
            l >>= 1
            r >>= 1
        return self.f(al, ar)
    
    def getvalue(self, i):
        i += self.n
        self.propagate_above(i)
        return self.calc(i)
    
    def operate_range(self, l, r, a):
        l += self.n
        r += self.n
        l0, r0 = l // (l & -l), r // (r & -r) - 1
        self.propagate_above(l0)
        self.propagate_above(r0)
        while l < r:
            if l & 1:
                self.A[l] = self.h(self.A[l], a)
                l += 1
            if r & 1:
                r -= 1
                self.A[r] = self.h(self.A[r], a)
            l >>= 1
            r >>= 1
        
        self.calc_above(l0)
        self.calc_above(r0)
    
    # Find r s.t. calc(l, ..., r-1) = True and calc(l, ..., r) = False
    def max_right(self, l, z):
        if l >= self.n: return self.n
        l += self.n
        s = self.unitX
        while 1:
            while l % 2 == 0:
                l >>= 1
            if not z(self.f(s, self.calc(l))):
                while l < self.n:
                    l *= 2
                    if z(self.f(s, self.calc(l))):
                        s = self.f(s, self.calc(l))
                        l += 1
                return l - self.n
            s = self.f(s, self.calc(l))
            l += 1
            if l & -l == l: break
        return self.n
    
    # Find l s.t. calc(l, ..., r-1) = True and calc(l-1, ..., r-1) = False
    def min_left(self, r, z):
        if r <= 0: return 0
        r += self.n
        s = self.unitX
        while 1:
            r -= 1
            while r > 1 and r % 2:
                r >>= 1
            if not z(self.f(self.calc(r), s)):
                while r < self.n:
                    r = r * 2 + 1
                    if z(self.f(self.calc(r), s)):
                        s = self.f(self.calc(r), s)
                        r -= 1
                return r + 1 - self.n
            s = self.f(self.calc(r), s)
            if r & -r == r: break
        return 0
    
    def debug(self):
        X = self.X
        print("X =", [self.calc(i) for i in range(self.n, self.n * 2)])

if False:
    f = lambda x, y: (x[0] + y[0] + x[2] * y[1], x[1] + y[1], x[2] + y[2])
    g = lambda x, a, s: (x[1] * x[2] - x[0], x[2], x[1]) if a else x
    h = lambda a, b: a ^ b
    unitX = (0, 0, 0)
    unitA = 0

# (inversion, number of zeros, number of ones)
mm = 262143
mmm = 68719214592
def f(x, y):
    return x + y + ((x & mm) * (y & mmm) << 18)
def g(x, a, s):
    x0, x1, x2 = x >> 36, (x >> 18) & mm, x & mm
    return (x1 * x2 - x0 << 36) + (x2 << 18) + x1 if a else x
def h(a, b):
    return a ^ b
unitX = 0
unitA = 0

N, Q = map(int, input().split())
A = [(1 << 18) if int(a) == 0 else 1 for a in input().split()]
st = LazySegmentTree(A, unitX, unitA, f, g, h)

for _ in range(Q):
    t, l, r = map(int, input().split())
    if t == 1:
        st.operate_range(l - 1, r, 1)
    else:
        print(st.getrange(l - 1, r) >> 36)

Submission status: Accepted

Solution code:
import sys
input = lambda: sys.stdin.readline().rstrip()
 
class LazySegmentTree():
    def __init__(self, init, unitX, unitA, f, g, h):
        self.f = f # (X, X) -> X
        self.g = g # (X, A, size) -> X
        self.h = h # (A, A) -> A
        self.unitX = unitX
        self.unitA = unitA
        self.f = f
        if type(init) == int:
            self.n = init
            # self.n = 1 << (self.n - 1).bit_length()
            self.X = [unitX] * (self.n * 2)
            self.size = [1] * (self.n * 2)
        else:
            self.n = len(init)
            # self.n = 1 << (self.n - 1).bit_length()
            self.X = [unitX] * self.n + init + [unitX] * (self.n - len(init))
            self.size = [0] * self.n + [1] * len(init) + [0] * (self.n - len(init))
            for i in range(self.n-1, 0, -1):
                self.X[i] = self.f(self.X[i*2], self.X[i*2|1])
    
        for i in range(self.n - 1, 0, -1):
            self.size[i] = self.size[i*2] + self.size[i*2|1]
        
        self.A = [unitA] * (self.n * 2)
        
    def update(self, i, x):
        i += self.n
        self.X[i] = x
        i >>= 1
        while i:
            self.X[i] = self.f(self.X[i*2], self.X[i*2|1])
            i >>= 1
    
    def calc(self, i):
        return self.g(self.X[i], self.A[i], self.size[i])
    
    def calc_above(self, i):
        i >>= 1
        while i:
            self.X[i] = self.f(self.calc(i*2), self.calc(i*2|1))
            i >>= 1
    
    def propagate(self, i):
        self.X[i] = self.g(self.X[i], self.A[i], self.size[i])
        self.A[i*2] = self.h(self.A[i*2], self.A[i])
        self.A[i*2|1] = self.h(self.A[i*2|1], self.A[i])
        self.A[i] = self.unitA
        
    def propagate_above(self, i):
        H = i.bit_length()
        for h in range(H, 0, -1):
            self.propagate(i >> h)
    
    def propagate_all(self):
        for i in range(1, self.n):
            self.propagate(i)
    
    def getrange(self, l, r):
        l += self.n
        r += self.n
        l0, r0 = l // (l & -l), r // (r & -r) - 1
        self.propagate_above(l0)
        self.propagate_above(r0)
        
        al = self.unitX
        ar = self.unitX
        while l < r:
            if l & 1:
                al = self.f(al, self.calc(l))
                l += 1
            if r & 1:
                r -= 1
                ar = self.f(self.calc(r), ar)
            l >>= 1
            r >>= 1
        return self.f(al, ar)
    
    def getvalue(self, i):
        i += self.n
        self.propagate_above(i)
        return self.calc(i)
    
    def operate_range(self, l, r, a):
        l += self.n
        r += self.n
        l0, r0 = l // (l & -l), r // (r & -r) - 1
        self.propagate_above(l0)
        self.propagate_above(r0)
        while l < r:
            if l & 1:
                self.A[l] = self.h(self.A[l], a)
                l += 1
            if r & 1:
                r -= 1
                self.A[r] = self.h(self.A[r], a)
            l >>= 1
            r >>= 1
        
        self.calc_above(l0)
        self.calc_above(r0)
    
    # Find r s.t. calc(l, ..., r-1) = True and calc(l, ..., r) = False
    def max_right(self, l, z):
        if l >= self.n: return self.n
        l += self.n
        s = self.unitX
        while 1:
            while l % 2 == 0:
                l >>= 1
            if not z(self.f(s, self.calc(l))):
                while l < self.n:
                    l *= 2
                    if z(self.f(s, self.calc(l))):
                        s = self.f(s, self.calc(l))
                        l += 1
                return l - self.n
            s = self.f(s, self.calc(l))
            l += 1
            if l & -l == l: break
        return self.n
    
    # Find l s.t. calc(l, ..., r-1) = True and calc(l-1, ..., r-1) = False
    def min_left(self, r, z):
        if r <= 0: return 0
        r += self.n
        s = self.unitX
        while 1:
            r -= 1
            while r > 1 and r % 2:
                r >>= 1
            if not z(self.f(self.calc(r), s)):
                while r < self.n:
                    r = r * 2 + 1
                    if z(self.f(self.calc(r), s)):
                        s = self.f(self.calc(r), s)
                        r -= 1
                return r + 1 - self.n
            s = self.f(self.calc(r), s)
            if r & -r == r: break
        return 0
    
    def debug(self):
        X = self.X
        print("X =", [self.calc(i) for i in range(self.n, self.n * 2)])

if False:
    f = lambda x, y: (x[0] + y[0] + x[2] * y[1], x[1] + y[1], x[2] + y[2])
    g = lambda x, a, s: (x[1] * x[2] - x[0], x[2], x[1]) if a else x
    h = lambda a, b: a ^ b
    unitX = (0, 0, 0)
    unitA = 0

# (inversion, number of zeros, number of ones)
mm = 262143
def f(x, y):
    x0, x1, x2 = x >> 36, (x >> 18) & mm, x & mm
    y0, y1, y2 = y >> 36, (y >> 18) & mm, y & mm
    return (x0 + y0 + x2 * y1 << 36) + (x1 + y1 << 18) + (x2 + y2)
def g(x, a, s):
    x0, x1, x2 = x >> 36, (x >> 18) & mm, x & mm
    return (x1 * x2 - x0 << 36) + (x2 << 18) + x1 if a else x
def h(a, b):
    return a ^ b
unitX = 0
unitA = 0

N, Q = map(int, input().split())
A = [(1 << 18) if int(a) == 0 else 1 for a in input().split()]
st = LazySegmentTree(A, unitX, unitA, f, g, h)

for _ in range(Q):
    t, l, r = map(int, input().split())
    if t == 1:
        st.operate_range(l - 1, r, 1)
    else:
        print(st.getrange(l - 1, r) >> 36)

Submission status: Accepted

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



### 遅延評価セグメント木
class LazySegmentTree:
    def __init__(self, n, a=None):
        """初期化
        num : n以上の最小の2のべき乗
        """
        num = 1
        v = 0
        while num<=n:
            num *= 2
            v += 1
        self.q = [None]*(2*v+10)
        self.num = num
        self.seg = [ninf] * (2*self.num-1)
        self.lazy = [f0] * (2*self.num-1)
        self.ls = [0]*(2*self.num-1)
        self.rs = [0]*(2*self.num-1)
        self.ls[0] = 0
        self.rs[0] = self.num
        for i in range(self.num-1):
            self.ls[2*i+1] = self.ls[i]
            self.rs[2*i+1] = (self.ls[i] + self.rs[i])//2
            self.ls[2*i+2] = (self.ls[i] + self.rs[i])//2
            self.rs[2*i+2] = self.rs[i]
        if a is not None:
            # O(n)で初期化
            assert len(a)==n
            for i in range(n):
                self.seg[num-1+i] = a[i]
            for k in range(num-2, -1, -1):
                self.seg[k] = op(self.seg[2*k+1], self.seg[2*k+2])
    def eval(self, k):
        if self.lazy[k]==f0:
            return 
        if k<self.num-1:
            self.lazy[k*2+1] = composition(self.lazy[k], self.lazy[k*2+1])
            self.lazy[k*2+2] = composition(self.lazy[k], self.lazy[k*2+2])
        self.seg[k] = mapping(self.lazy[k], self.seg[k])
        self.lazy[k] = f0
    def eval_all(self):
        for i in range(2*self.num-1):
            self.eval(i)
    def update(self,a,b,x=None,f=None):
        """A[a]...A[b-1]をxに更新する
        """
        if f is None:
            # 更新クエリ
            f = lambda y: x
        k = 0
        self.q[0] = k # k>=0なら行きがけ順
        ind = 1
        # 重なる区間を深さ優先探索
        while ind:
            ind -= 1
            k = self.q[ind]
            l,r = self.ls[k], self.rs[k]
            if k>=0:
                self.eval(k)
                if r<=a or b<=l:
                    continue
                elif a<=l and r<=b:
                    self.lazy[k] = composition(f, self.lazy[k])
                    self.eval(k)
                else:
                    self.q[ind] = ~k
                    self.q[ind+1] = 2*k+1
                    self.q[ind+2] = 2*k+2
                    ind += 3
#                     q.append(~k)
#                     q.append(2*k+1)
#                     q.append(2*k+2)
            else:
                k = ~k
                self.seg[k] = op(self.seg[2*k+1], self.seg[2*k+2])
    def query(self,a,b):
        k = 0
        l = 0
        r = self.num
        self.q[0] = k
        ind = 1
        ans = ninf
        # 重なる区間を深さ優先探索
        while ind:
            ind -= 1
            k = self.q[ind]
            l,r = self.ls[k], self.rs[k]
            self.eval(k)
            if r<=a or b<=l:
                continue
            elif a<=l and r<=b:
                ans = op(ans, self.seg[k])
            else:
                self.q[ind] = 2*k+2
                self.q[ind+1] = 2*k+1
                ind += 2
#                 q.append(2*k+2)
#                 q.append(2*k+1)
#             print(q, ans, l,r,a,b, self.seg[k])
        return ans
n,q = list(map(int, input().split()))
a = list(map(int, input().split()))
# ninf = -10**9
# op = max
# mapping = lambda f,x: f(x)
# composition = lambda f1, f2: f1 if f1 is not None else f2
ninf = (0,0,0) # (転倒数, #0, #1)
op = lambda x,y: (x[0]+y[0]+x[2]*y[1], x[1]+y[1], x[2]+y[2])
mapping = lambda f,x: ((x[1]+x[2])*(x[1]+x[2]-1)//2 - (x[1]*(x[1]-1)//2) - (x[2]*(x[2]-1)//2) - x[0], x[2], x[1]) if f else x
composition = lambda f1, f2: f1^f2
f0 = False
sg = LazySegmentTree(n, [((0,1,0) if item==0 else (0,0,1)) for item in a])
ans = []
for _ in range(q):
    t = tuple(map(int, input().split()))
    if t[0]==1:
        _, l,r = t
        sg.update(l-1,r,f=True)
    else:
        _,l,r = t
        ans.append(sg.query(l-1,r)[0])
#         break
write("\n".join(map(str, ans)))

Submission status: Accepted

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



### 遅延評価セグメント木
class LazySegmentTree:
    def __init__(self, n, a=None):
        """初期化
        num : n以上の最小の2のべき乗
        """
        num = 1
        while num<=n:
            num *= 2
        self.num = num
        self.seg = [ninf] * (2*self.num-1)
        self.lazy = [f0] * (2*self.num-1)
        self.ls = [0]*(2*self.num-1)
        self.rs = [0]*(2*self.num-1)
        self.ls[0] = 0
        self.rs[0] = self.num
        for i in range(self.num-1):
            self.ls[2*i+1] = self.ls[i]
            self.rs[2*i+1] = (self.ls[i] + self.rs[i])//2
            self.ls[2*i+2] = (self.ls[i] + self.rs[i])//2
            self.rs[2*i+2] = self.rs[i]
        if a is not None:
            # O(n)で初期化
            assert len(a)==n
            for i in range(n):
                self.seg[num-1+i] = a[i]
            for k in range(num-2, -1, -1):
                self.seg[k] = op(self.seg[2*k+1], self.seg[2*k+2])
    def eval(self, k):
        if self.lazy[k]==f0:
            return 
        if k<self.num-1:
            self.lazy[k*2+1] = composition(self.lazy[k], self.lazy[k*2+1])
            self.lazy[k*2+2] = composition(self.lazy[k], self.lazy[k*2+2])
        self.seg[k] = mapping(self.lazy[k], self.seg[k])
        self.lazy[k] = f0
    def eval_all(self):
        for i in range(2*self.num-1):
            self.eval(i)
    def update(self,a,b,x=None,f=None):
        """A[a]...A[b-1]をxに更新する
        """
        if f is None:
            # 更新クエリ
            f = lambda y: x
        k = 0
        q = [k] # k>=0なら行きがけ順
        # 重なる区間を深さ優先探索
        while q:
            k = q.pop()
            l,r = self.ls[k], self.rs[k]
            if k>=0:
                self.eval(k)
                if r<=a or b<=l:
                    continue
                elif a<=l and r<=b:
                    self.lazy[k] = composition(f, self.lazy[k])
                    self.eval(k)
                else:
                    q.append(~k)
                    q.append(2*k+1)
                    q.append(2*k+2)
            else:
                k = ~k
                self.seg[k] = op(self.seg[2*k+1], self.seg[2*k+2])
    def query(self,a,b):
        k = 0
        l = 0
        r = self.num
        q = [k]
        ans = ninf
        # 重なる区間を深さ優先探索
        while q:
            k = q.pop()
            l,r = self.ls[k], self.rs[k]
            self.eval(k)
            if r<=a or b<=l:
                continue
            elif a<=l and r<=b:
                ans = op(ans, self.seg[k])
            else:
                q.append(2*k+2)
                q.append(2*k+1)
#             print(q, ans, l,r,a,b, self.seg[k])
        return ans
n,q = list(map(int, input().split()))
a = list(map(int, input().split()))
# ninf = -10**9
# op = max
# mapping = lambda f,x: f(x)
# composition = lambda f1, f2: f1 if f1 is not None else f2
ninf = (0,0,0) # (転倒数, #0, #1)
op = lambda x,y: (x[0]+y[0]+x[2]*y[1], x[1]+y[1], x[2]+y[2])
mapping = lambda f,x: ((x[1]+x[2])*(x[1]+x[2]-1)//2 - (x[1]*(x[1]-1)//2) - (x[2]*(x[2]-1)//2) - x[0], x[2], x[1]) if f else x
composition = lambda f1, f2: f1^f2
f0 = False
sg = LazySegmentTree(n, [((0,1,0) if item==0 else (0,0,1)) for item in a])
ans = []
for _ in range(q):
    t = tuple(map(int, input().split()))
    if t[0]==1:
        _, l,r = t
        sg.update(l-1,r,f=True)
    else:
        _,l,r = t
        ans.append(sg.query(l-1,r)[0])
#         break
write("\n".join(map(str, ans)))