|
1 |
| -const MOD = 1000000007n; |
2 |
| -export default interface Fancy { |
3 |
| - getIndex: (idx: number) => number; |
4 |
| - multAll: (m: number) => void; |
5 |
| - addAll: (inc: number) => void; |
6 |
| - append: (val: number) => void; |
7 |
| -} |
8 |
| - |
9 |
| -export default function Fancy(): Fancy { |
10 |
| - const values: bigint[] = []; |
11 |
| - let add = 0n; |
12 |
| - let mult = 1n; |
13 |
| - let r_mult = 1n; |
14 |
| - |
15 |
| - const append = function (val: number): void { |
16 |
| - const result = ((BigInt(val) - add + MOD) * r_mult) % MOD; |
17 |
| - values.push(result); |
18 |
| - }; |
19 |
| - |
20 |
| - const addAll = function (inc: number): void { |
21 |
| - add = (add + BigInt(inc)) % MOD; |
22 |
| - }; |
23 |
| - |
24 |
| - const multAll = function (m: number): void { |
25 |
| - const mb = BigInt(m); |
26 |
| - mult = (mult * mb) % MOD; |
27 |
| - add = (add * mb) % MOD; |
28 |
| - |
29 |
| - r_mult = (r_mult * multiplicativeInverse(m, MOD)) % MOD; |
30 |
| - }; |
31 |
| - |
32 |
| - const getIndex = function (idx: number): number { |
33 |
| - if (idx >= values.length) return -1; |
34 |
| - return Number((mult * BigInt(values[idx]) + add) % MOD); |
35 |
| - }; |
36 |
| - return { getIndex, multAll, addAll, append }; |
37 |
| -} |
38 |
| - |
39 |
| -const multiplicativeInverse = function (x: number, mod: bigint): bigint { |
40 |
| - if (typeof INVERSES[x] !== "undefined") return INVERSES[x]; |
41 |
| - const xb = BigInt(x); |
42 |
| - const mb = BigInt(mod); |
43 |
| - let y = 1n, |
44 |
| - m = mb, |
45 |
| - p = xb; |
46 |
| - m = m - 2n; |
47 |
| - |
48 |
| - for (let i = 0n; 1n << i < m; i++, p = (p * p) % mb) |
49 |
| - if (((m >> i) & 1n) == 1n) y = (y * p) % mb; |
50 |
| - INVERSES[x] = y; |
51 |
| - return y; |
52 |
| -}; |
53 |
| - |
54 |
| -const INVERSES: bigint[] = []; |
| 1 | +const MOD = 1000000007n; |
| 2 | +export default interface Fancy { |
| 3 | + getIndex: (idx: number) => number; |
| 4 | + multAll: (m: number) => void; |
| 5 | + addAll: (inc: number) => void; |
| 6 | + append: (val: number) => void; |
| 7 | +} |
| 8 | + |
| 9 | +export default function Fancy(): Fancy { |
| 10 | + const values: bigint[] = []; |
| 11 | + let add = 0n; |
| 12 | + let mult = 1n; |
| 13 | + let r_mult = 1n; |
| 14 | + |
| 15 | + const append = function (val: number): void { |
| 16 | + const result = ((BigInt(val) - add + MOD) * r_mult) % MOD; |
| 17 | + values.push(result); |
| 18 | + }; |
| 19 | + |
| 20 | + const addAll = function (inc: number): void { |
| 21 | + add = (add + BigInt(inc)) % MOD; |
| 22 | + }; |
| 23 | + |
| 24 | + const multAll = function (m: number): void { |
| 25 | + const mb = BigInt(m); |
| 26 | + mult = (mult * mb) % MOD; |
| 27 | + add = (add * mb) % MOD; |
| 28 | + |
| 29 | + r_mult = (r_mult * multiplicativeInverse(m, MOD)) % MOD; |
| 30 | + }; |
| 31 | + |
| 32 | + const getIndex = function (idx: number): number { |
| 33 | + if (idx >= values.length) return -1; |
| 34 | + return Number((mult * BigInt(values[idx]) + add) % MOD); |
| 35 | + }; |
| 36 | + return { getIndex, multAll, addAll, append }; |
| 37 | +} |
| 38 | + |
| 39 | +const multiplicativeInverse = function (x: number, mod: bigint): bigint { |
| 40 | + if (typeof INVERSES[x] !== "undefined") return INVERSES[x]; |
| 41 | + const xb = BigInt(x); |
| 42 | + const mb = BigInt(mod); |
| 43 | + let y = 1n, |
| 44 | + m = mb, |
| 45 | + p = xb; |
| 46 | + m = m - 2n; |
| 47 | + |
| 48 | + for (let i = 0n; 1n << i < m; i++, p = (p * p) % mb) { |
| 49 | + if (((m >> i) & 1n) == 1n) y = (y * p) % mb; |
| 50 | + } |
| 51 | + INVERSES[x] = y; |
| 52 | + return y; |
| 53 | +}; |
| 54 | + |
| 55 | +const INVERSES: bigint[] = []; |
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