Description#
You are implementing a program to use as your calendar. We can add a new event if adding the event will not cause a triple booking.
A triple booking happens when three events have some non-empty intersection (i.e., some moment is common to all the three events.).
The event can be represented as a pair of integers start and end that represents a booking on the half-open interval [start, end), the range of real numbers x such that start <= x < end.
Implement the MyCalendarTwo class:
MyCalendarTwo() Initializes the calendar object.boolean book(int start, int end) Returns true if the event can be added to the calendar successfully without causing a triple booking. Otherwise, return false and do not add the event to the calendar.
Example 1:
Input
["MyCalendarTwo", "book", "book", "book", "book", "book", "book"]
[[], [10, 20], [50, 60], [10, 40], [5, 15], [5, 10], [25, 55]]
Output
[null, true, true, true, false, true, true]
Explanation
MyCalendarTwo myCalendarTwo = new MyCalendarTwo();
myCalendarTwo.book(10, 20); // return True, The event can be booked.
myCalendarTwo.book(50, 60); // return True, The event can be booked.
myCalendarTwo.book(10, 40); // return True, The event can be double booked.
myCalendarTwo.book(5, 15); // return False, The event cannot be booked, because it would result in a triple booking.
myCalendarTwo.book(5, 10); // return True, The event can be booked, as it does not use time 10 which is already double booked.
myCalendarTwo.book(25, 55); // return True, The event can be booked, as the time in [25, 40) will be double booked with the third event, the time [40, 50) will be single booked, and the time [50, 55) will be double booked with the second event.
Constraints:
0 <= start < end <= 109- At most
1000 calls will be made to book.
Solutions#
Solution 1#
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
| from sortedcontainers import SortedDict
class MyCalendarTwo:
def __init__(self):
self.sd = SortedDict()
def book(self, start: int, end: int) -> bool:
self.sd[start] = self.sd.get(start, 0) + 1
self.sd[end] = self.sd.get(end, 0) - 1
s = 0
for v in self.sd.values():
s += v
if s > 2:
self.sd[start] -= 1
self.sd[end] += 1
return False
return True
# Your MyCalendarTwo object will be instantiated and called as such:
# obj = MyCalendarTwo()
# param_1 = obj.book(start,end)
|
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
| class MyCalendarTwo {
private Map<Integer, Integer> tm = new TreeMap<>();
public MyCalendarTwo() {
}
public boolean book(int start, int end) {
tm.put(start, tm.getOrDefault(start, 0) + 1);
tm.put(end, tm.getOrDefault(end, 0) - 1);
int s = 0;
for (int v : tm.values()) {
s += v;
if (s > 2) {
tm.put(start, tm.get(start) - 1);
tm.put(end, tm.get(end) + 1);
return false;
}
}
return true;
}
}
/**
* Your MyCalendarTwo object will be instantiated and called as such:
* MyCalendarTwo obj = new MyCalendarTwo();
* boolean param_1 = obj.book(start,end);
*/
|
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
| class MyCalendarTwo {
public:
map<int, int> m;
MyCalendarTwo() {
}
bool book(int start, int end) {
++m[start];
--m[end];
int s = 0;
for (auto& [_, v] : m) {
s += v;
if (s > 2) {
--m[start];
++m[end];
return false;
}
}
return true;
}
};
/**
* Your MyCalendarTwo object will be instantiated and called as such:
* MyCalendarTwo* obj = new MyCalendarTwo();
* bool param_1 = obj->book(start,end);
*/
|
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
| type MyCalendarTwo struct {
*redblacktree.Tree
}
func Constructor() MyCalendarTwo {
return MyCalendarTwo{redblacktree.NewWithIntComparator()}
}
func (this *MyCalendarTwo) Book(start int, end int) bool {
add := func(key, val int) {
if v, ok := this.Get(key); ok {
this.Put(key, v.(int)+val)
} else {
this.Put(key, val)
}
}
add(start, 1)
add(end, -1)
s := 0
it := this.Iterator()
for it.Next() {
s += it.Value().(int)
if s > 2 {
add(start, -1)
add(end, 1)
return false
}
}
return true
}
/**
* Your MyCalendarTwo object will be instantiated and called as such:
* obj := Constructor();
* param_1 := obj.Book(start,end);
*/
|
Solution 2#
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
| class Node:
def __init__(self, l, r):
self.left = None
self.right = None
self.l = l
self.r = r
self.mid = (l + r) >> 1
self.v = 0
self.add = 0
class SegmentTree:
def __init__(self):
self.root = Node(1, int(1e9 + 1))
def modify(self, l, r, v, node=None):
if l > r:
return
if node is None:
node = self.root
if node.l >= l and node.r <= r:
node.v += v
node.add += v
return
self.pushdown(node)
if l <= node.mid:
self.modify(l, r, v, node.left)
if r > node.mid:
self.modify(l, r, v, node.right)
self.pushup(node)
def query(self, l, r, node=None):
if l > r:
return 0
if node is None:
node = self.root
if node.l >= l and node.r <= r:
return node.v
self.pushdown(node)
v = 0
if l <= node.mid:
v = max(v, self.query(l, r, node.left))
if r > node.mid:
v = max(v, self.query(l, r, node.right))
return v
def pushup(self, node):
node.v = max(node.left.v, node.right.v)
def pushdown(self, node):
if node.left is None:
node.left = Node(node.l, node.mid)
if node.right is None:
node.right = Node(node.mid + 1, node.r)
if node.add:
node.left.v += node.add
node.right.v += node.add
node.left.add += node.add
node.right.add += node.add
node.add = 0
class MyCalendarTwo:
def __init__(self):
self.tree = SegmentTree()
def book(self, start: int, end: int) -> bool:
if self.tree.query(start + 1, end) >= 2:
return False
self.tree.modify(start + 1, end, 1)
return True
# Your MyCalendarTwo object will be instantiated and called as such:
# obj = MyCalendarTwo()
# param_1 = obj.book(start,end)
|
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
| class Node {
Node left;
Node right;
int l;
int r;
int mid;
int v;
int add;
public Node(int l, int r) {
this.l = l;
this.r = r;
this.mid = (l + r) >> 1;
}
}
class SegmentTree {
private Node root = new Node(1, (int) 1e9 + 1);
public SegmentTree() {
}
public void modify(int l, int r, int v) {
modify(l, r, v, root);
}
public void modify(int l, int r, int v, Node node) {
if (l > r) {
return;
}
if (node.l >= l && node.r <= r) {
node.v += v;
node.add += v;
return;
}
pushdown(node);
if (l <= node.mid) {
modify(l, r, v, node.left);
}
if (r > node.mid) {
modify(l, r, v, node.right);
}
pushup(node);
}
public int query(int l, int r) {
return query(l, r, root);
}
public int query(int l, int r, Node node) {
if (l > r) {
return 0;
}
if (node.l >= l && node.r <= r) {
return node.v;
}
pushdown(node);
int v = 0;
if (l <= node.mid) {
v = Math.max(v, query(l, r, node.left));
}
if (r > node.mid) {
v = Math.max(v, query(l, r, node.right));
}
return v;
}
public void pushup(Node node) {
node.v = Math.max(node.left.v, node.right.v);
}
public void pushdown(Node node) {
if (node.left == null) {
node.left = new Node(node.l, node.mid);
}
if (node.right == null) {
node.right = new Node(node.mid + 1, node.r);
}
if (node.add != 0) {
Node left = node.left, right = node.right;
left.add += node.add;
right.add += node.add;
left.v += node.add;
right.v += node.add;
node.add = 0;
}
}
}
class MyCalendarTwo {
private SegmentTree tree = new SegmentTree();
public MyCalendarTwo() {
}
public boolean book(int start, int end) {
if (tree.query(start + 1, end) >= 2) {
return false;
}
tree.modify(start + 1, end, 1);
return true;
}
}
/**
* Your MyCalendarTwo object will be instantiated and called as such:
* MyCalendarTwo obj = new MyCalendarTwo();
* boolean param_1 = obj.book(start,end);
*/
|
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
| class Node {
public:
Node* left;
Node* right;
int l;
int r;
int mid;
int v;
int add;
Node(int l, int r) {
this->l = l;
this->r = r;
this->mid = (l + r) >> 1;
this->left = this->right = nullptr;
v = add = 0;
}
};
class SegmentTree {
private:
Node* root;
public:
SegmentTree() {
root = new Node(1, 1e9 + 1);
}
void modify(int l, int r, int v) {
modify(l, r, v, root);
}
void modify(int l, int r, int v, Node* node) {
if (l > r) return;
if (node->l >= l && node->r <= r) {
node->v += v;
node->add += v;
return;
}
pushdown(node);
if (l <= node->mid) modify(l, r, v, node->left);
if (r > node->mid) modify(l, r, v, node->right);
pushup(node);
}
int query(int l, int r) {
return query(l, r, root);
}
int query(int l, int r, Node* node) {
if (l > r) return 0;
if (node->l >= l && node->r <= r) return node->v;
pushdown(node);
int v = 0;
if (l <= node->mid) v = max(v, query(l, r, node->left));
if (r > node->mid) v = max(v, query(l, r, node->right));
return v;
}
void pushup(Node* node) {
node->v = max(node->left->v, node->right->v);
}
void pushdown(Node* node) {
if (!node->left) node->left = new Node(node->l, node->mid);
if (!node->right) node->right = new Node(node->mid + 1, node->r);
if (node->add) {
Node* left = node->left;
Node* right = node->right;
left->v += node->add;
right->v += node->add;
left->add += node->add;
right->add += node->add;
node->add = 0;
}
}
};
class MyCalendarTwo {
public:
SegmentTree* tree = new SegmentTree();
MyCalendarTwo() {
}
bool book(int start, int end) {
if (tree->query(start + 1, end) >= 2) return false;
tree->modify(start + 1, end, 1);
return true;
}
};
/**
* Your MyCalendarTwo object will be instantiated and called as such:
* MyCalendarTwo* obj = new MyCalendarTwo();
* bool param_1 = obj->book(start,end);
*/
|
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
| type node struct {
left *node
right *node
l, mid, r int
v, add int
}
func newNode(l, r int) *node {
return &node{
l: l,
r: r,
mid: int(uint(l+r) >> 1),
}
}
type segmentTree struct {
root *node
}
func newSegmentTree() *segmentTree {
return &segmentTree{
root: newNode(1, 1e9+1),
}
}
func (t *segmentTree) modify(l, r, v int, n *node) {
if l > r {
return
}
if n.l >= l && n.r <= r {
n.v += v
n.add += v
return
}
t.pushdown(n)
if l <= n.mid {
t.modify(l, r, v, n.left)
}
if r > n.mid {
t.modify(l, r, v, n.right)
}
t.pushup(n)
}
func (t *segmentTree) query(l, r int, n *node) int {
if l > r {
return 0
}
if n.l >= l && n.r <= r {
return n.v
}
t.pushdown(n)
v := 0
if l <= n.mid {
v = max(v, t.query(l, r, n.left))
}
if r > n.mid {
v = max(v, t.query(l, r, n.right))
}
return v
}
func (t *segmentTree) pushup(n *node) {
n.v = max(n.left.v, n.right.v)
}
func (t *segmentTree) pushdown(n *node) {
if n.left == nil {
n.left = newNode(n.l, n.mid)
}
if n.right == nil {
n.right = newNode(n.mid+1, n.r)
}
if n.add != 0 {
n.left.add += n.add
n.right.add += n.add
n.left.v += n.add
n.right.v += n.add
n.add = 0
}
}
type MyCalendarTwo struct {
tree *segmentTree
}
func Constructor() MyCalendarTwo {
return MyCalendarTwo{newSegmentTree()}
}
func (this *MyCalendarTwo) Book(start int, end int) bool {
if this.tree.query(start+1, end, this.tree.root) >= 2 {
return false
}
this.tree.modify(start+1, end, 1, this.tree.root)
return true
}
/**
* Your MyCalendarTwo object will be instantiated and called as such:
* obj := Constructor();
* param_1 := obj.Book(start,end);
*/
|
