ac-lib 0.1.0

A rust library for competitive programming on AtCoder
Documentation 
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
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236

use ac_lib::structure::{FenwickTree, SegmentTree};

#[test]
fn test_segtree_new() {
    let arr = vec![1, 3, 5, 7, 9];
    let segtree = SegmentTree::new(&arr);

    for i in 0..arr.len() {
        assert_eq!(segtree.get(i), arr[i]);
    }
}

#[test]
fn test_segtree_query_full_range() {
    let arr = vec![1, 3, 5, 7, 9];
    let segtree = SegmentTree::new(&arr);

    assert_eq!(segtree.query(0, 5), 25);
}

#[test]
fn test_segtree_query_partial_range() {
    let arr = vec![1, 3, 5, 7, 9];
    let segtree = SegmentTree::new(&arr);

    assert_eq!(segtree.query(1, 4), 15);
    assert_eq!(segtree.query(0, 3), 9);
    assert_eq!(segtree.query(2, 5), 21);
}

#[test]
fn test_segtree_query_single_element() {
    let arr = vec![1, 3, 5, 7, 9];
    let segtree = SegmentTree::new(&arr);

    assert_eq!(segtree.query(2, 3), 5);
    assert_eq!(segtree.query(0, 1), 1);
    assert_eq!(segtree.query(4, 5), 9);
}

#[test]
fn test_segtree_update() {
    let arr = vec![1, 3, 5, 7, 9];
    let mut segtree = SegmentTree::new(&arr);

    segtree.update(2, 10);
    assert_eq!(segtree.get(2), 10);
    assert_eq!(segtree.query(0, 5), 30);
    assert_eq!(segtree.query(1, 4), 20);
}

#[test]
fn test_segtree_multiple_updates() {
    let arr = vec![1, 2, 3, 4, 5];
    let mut segtree = SegmentTree::new(&arr);

    segtree.update(0, 10);
    segtree.update(4, 50);

    assert_eq!(segtree.query(0, 5), 69);
}

#[test]
fn test_segtree_empty_range() {
    let arr = vec![1, 3, 5, 7, 9];
    let segtree = SegmentTree::new(&arr);

    assert_eq!(segtree.query(2, 2), 0);
}

#[test]
fn test_segtree_single_element_array() {
    let arr = vec![42];
    let mut segtree = SegmentTree::new(&arr);

    assert_eq!(segtree.query(0, 1), 42);
    segtree.update(0, 100);
    assert_eq!(segtree.query(0, 1), 100);
}

#[test]
#[should_panic(expected = "Index out of bounds")]
fn test_segtree_update_out_of_bounds() {
    let arr = vec![1, 2, 3];
    let mut segtree = SegmentTree::new(&arr);
    segtree.update(5, 10);
}

#[test]
#[should_panic(expected = "Invalid range")]
fn test_segtree_query_invalid_range() {
    let arr = vec![1, 2, 3];
    let segtree = SegmentTree::new(&arr);
    segtree.query(2, 1);
}

// FenwickTree Tests
#[test]
fn test_fenwick_new() {
    let ft = FenwickTree::new(5);

    for i in 0..5 {
        assert_eq!(ft.get(i), 0);
    }
}

#[test]
fn test_fenwick_from_vec() {
    let arr = vec![1, 3, 5, 7, 9];
    let ft = FenwickTree::from_vec(&arr);

    for i in 0..arr.len() {
        assert_eq!(ft.get(i), arr[i]);
    }
}

#[test]
fn test_fenwick_add() {
    let mut ft = FenwickTree::new(5);

    ft.add(0, 3);
    ft.add(1, 5);
    ft.add(2, 2);

    assert_eq!(ft.get(0), 3);
    assert_eq!(ft.get(1), 5);
    assert_eq!(ft.get(2), 2);
}

#[test]
fn test_fenwick_sum() {
    let arr = vec![1, 3, 5, 7, 9];
    let ft = FenwickTree::from_vec(&arr);

    assert_eq!(ft.sum(0), 1);
    assert_eq!(ft.sum(1), 4);
    assert_eq!(ft.sum(2), 9);
    assert_eq!(ft.sum(3), 16);
    assert_eq!(ft.sum(4), 25);
}

#[test]
fn test_fenwick_range_sum() {
    let arr = vec![1, 3, 5, 7, 9];
    let ft = FenwickTree::from_vec(&arr);

    assert_eq!(ft.range_sum(0, 4), 25);
    assert_eq!(ft.range_sum(1, 3), 15);
    assert_eq!(ft.range_sum(2, 2), 5);
    assert_eq!(ft.range_sum(0, 2), 9);
}

#[test]
fn test_fenwick_set() {
    let arr = vec![1, 3, 5, 7, 9];
    let mut ft = FenwickTree::from_vec(&arr);

    ft.set(2, 10);
    assert_eq!(ft.get(2), 10);
    assert_eq!(ft.sum(4), 30);
}

#[test]
fn test_fenwick_multiple_operations() {
    let mut ft = FenwickTree::new(5);

    ft.add(0, 1);
    ft.add(1, 2);
    ft.add(2, 3);
    ft.add(3, 4);
    ft.add(4, 5);

    assert_eq!(ft.range_sum(0, 4), 15);

    ft.set(2, 10);
    assert_eq!(ft.range_sum(0, 4), 22);

    ft.add(1, 5);
    assert_eq!(ft.range_sum(0, 4), 27);
}

#[test]
fn test_fenwick_add_negative() {
    let mut ft = FenwickTree::new(5);

    ft.add(0, 10);
    ft.add(0, -5);

    assert_eq!(ft.get(0), 5);
}

#[test]
fn test_fenwick_single_element() {
    let mut ft = FenwickTree::new(1);

    ft.add(0, 42);
    assert_eq!(ft.sum(0), 42);
    assert_eq!(ft.get(0), 42);
}

#[test]
#[should_panic(expected = "Index out of bounds")]
fn test_fenwick_add_out_of_bounds() {
    let mut ft = FenwickTree::new(3);
    ft.add(5, 10);
}

#[test]
#[should_panic(expected = "Invalid range")]
fn test_fenwick_range_sum_invalid() {
    let ft = FenwickTree::new(5);
    ft.range_sum(3, 1);
}

#[test]
fn test_segtree_vs_fenwick_consistency() {
    let arr = vec![1, 3, 5, 7, 9];

    let segtree = SegmentTree::new(&arr);
    let ft = FenwickTree::from_vec(&arr);

    assert_eq!(segtree.query(0, 5), ft.sum(4));
    assert_eq!(segtree.query(1, 4), ft.range_sum(1, 3));
    assert_eq!(segtree.query(2, 3), ft.range_sum(2, 2));
}

#[test]
fn test_large_array() {
    let arr: Vec<i64> = (1..=1000).collect();

    let segtree = SegmentTree::new(&arr);
    let ft = FenwickTree::from_vec(&arr);

    assert_eq!(segtree.query(0, 1000), 500500);
    assert_eq!(ft.sum(999), 500500);
}