結果
問題 | No.1340 おーじ君をさがせ |
ユーザー | 草苺奶昔 |
提出日時 | 2024-09-13 02:00:28 |
言語 | Go (1.22.1) |
結果 |
AC
|
実行時間 | 11 ms / 2,000 ms |
コード長 | 17,169 bytes |
コンパイル時間 | 11,581 ms |
コンパイル使用メモリ | 228,936 KB |
実行使用メモリ | 6,948 KB |
最終ジャッジ日時 | 2024-09-13 02:00:42 |
合計ジャッジ時間 | 13,740 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge1 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 1 ms
6,812 KB |
testcase_01 | AC | 2 ms
6,812 KB |
testcase_02 | AC | 1 ms
6,816 KB |
testcase_03 | AC | 1 ms
6,812 KB |
testcase_04 | AC | 1 ms
6,940 KB |
testcase_05 | AC | 1 ms
6,940 KB |
testcase_06 | AC | 1 ms
6,940 KB |
testcase_07 | AC | 1 ms
6,944 KB |
testcase_08 | AC | 1 ms
6,940 KB |
testcase_09 | AC | 1 ms
6,940 KB |
testcase_10 | AC | 1 ms
6,944 KB |
testcase_11 | AC | 2 ms
6,940 KB |
testcase_12 | AC | 1 ms
6,944 KB |
testcase_13 | AC | 2 ms
6,944 KB |
testcase_14 | AC | 3 ms
6,944 KB |
testcase_15 | AC | 2 ms
6,940 KB |
testcase_16 | AC | 1 ms
6,940 KB |
testcase_17 | AC | 2 ms
6,940 KB |
testcase_18 | AC | 2 ms
6,944 KB |
testcase_19 | AC | 1 ms
6,944 KB |
testcase_20 | AC | 1 ms
6,940 KB |
testcase_21 | AC | 9 ms
6,940 KB |
testcase_22 | AC | 7 ms
6,940 KB |
testcase_23 | AC | 10 ms
6,940 KB |
testcase_24 | AC | 5 ms
6,948 KB |
testcase_25 | AC | 8 ms
6,940 KB |
testcase_26 | AC | 6 ms
6,940 KB |
testcase_27 | AC | 5 ms
6,944 KB |
testcase_28 | AC | 7 ms
6,940 KB |
testcase_29 | AC | 5 ms
6,944 KB |
testcase_30 | AC | 9 ms
6,940 KB |
testcase_31 | AC | 11 ms
6,940 KB |
testcase_32 | AC | 11 ms
6,944 KB |
testcase_33 | AC | 11 ms
6,944 KB |
testcase_34 | AC | 10 ms
6,940 KB |
testcase_35 | AC | 11 ms
6,940 KB |
testcase_36 | AC | 2 ms
6,944 KB |
testcase_37 | AC | 8 ms
6,940 KB |
testcase_38 | AC | 11 ms
6,940 KB |
testcase_39 | AC | 9 ms
6,944 KB |
testcase_40 | AC | 9 ms
6,940 KB |
testcase_41 | AC | 9 ms
6,940 KB |
testcase_42 | AC | 2 ms
6,940 KB |
testcase_43 | AC | 2 ms
6,944 KB |
testcase_44 | AC | 2 ms
6,940 KB |
testcase_45 | AC | 1 ms
6,940 KB |
testcase_46 | AC | 3 ms
6,940 KB |
testcase_47 | AC | 3 ms
6,940 KB |
testcase_48 | AC | 4 ms
6,940 KB |
testcase_49 | AC | 2 ms
6,940 KB |
testcase_50 | AC | 2 ms
6,940 KB |
testcase_51 | AC | 2 ms
6,940 KB |
testcase_52 | AC | 2 ms
6,940 KB |
testcase_53 | AC | 2 ms
6,944 KB |
testcase_54 | AC | 2 ms
6,940 KB |
testcase_55 | AC | 4 ms
6,940 KB |
testcase_56 | AC | 1 ms
6,944 KB |
testcase_57 | AC | 1 ms
6,944 KB |
testcase_58 | AC | 1 ms
6,944 KB |
testcase_59 | AC | 2 ms
6,940 KB |
testcase_60 | AC | 1 ms
6,944 KB |
testcase_61 | AC | 2 ms
6,944 KB |
ソースコード
// #include "ds/my_bitset.hpp" // // Boolean Matrix Multiplication C[i][k] |= A[i][j] && B[j][k] // // https://contest.ucup.ac/contest/1784/problem/9246 // vc<My_Bitset> matrix_mul_and_or(vc<My_Bitset>& A, vc<My_Bitset>& B, int N1 = -1, int N2 = -1, int N3 = -1) { // using BS = My_Bitset; // if (N1 == -1) { N1 = len(A), N2 = len(B), N3 = len(B[0]); } // vc<BS> C(N1, BS(N3)); // if (N1 < 50) { // FOR(i, N1) FOR(j, N2) { // if (A[i][j]) C[i] |= B[j]; // } // return C; // } // const int K = (N1 < 1200 ? 4 : 8); // vc<BS> tmp(1 << K, BS(N3)); // for (int L = 0; L < N2; L += K) { // int R = min(L + K, N2); // int n = R - L; // FOR(i, n) FOR(s, 1 << i) tmp[s | 1 << i] = tmp[s] | B[L + i]; // FOR(i, N1) { // u32 s = A[i].dat[L / 64] >> (L & 63) & ((1 << K) - 1); // C[i] |= tmp[s]; // } // } // return C; // } package main import ( "bufio" "fmt" "math/bits" "os" "strings" ) func main() { yuki1340() } // https://yukicoder.me/problems/no/1340 func yuki1340() { in := bufio.NewReader(os.Stdin) out := bufio.NewWriter(os.Stdout) defer out.Flush() var N, M, T int fmt.Fscan(in, &N, &M, &T) A := make([]*BitSetDynamic, N) for i := range A { A[i] = NewBitsetDynamic(N, 0) } for i := 0; i < M; i++ { var a, b int fmt.Fscan(in, &a, &b) A[a].Add(b) } B := make([]*BitSetDynamic, N) for i := range B { B[i] = NewBitsetDynamic(N, 0) B[i].Add(i) } for T > 0 { if T&1 == 1 { B = MatrixMulAndOr(B, A) } A = MatrixMulAndOr(A, A) T >>= 1 } res := B[0].OnesCount(0, N) fmt.Fprintln(out, res) } // Four Russians O(NMK/wlogN). // C[i][k] |= A[i][j] && B[j][k]. func MatrixMulAndOr(matA, matB []*BitSetDynamic) []*BitSetDynamic { n1, n2, n3 := len(matA), len(matB), matB[0].Size() res := make([]*BitSetDynamic, n1) for i := range res { res[i] = NewBitsetDynamic(n3, 0) } if n1 < 50 { for i := 0; i < n1; i++ { for j := 0; j < n2; j++ { if matA[i].Has(j) { res[i].IOr(matB[j]) } } } return res } k := 8 if n1 < 1200 { k = 4 } mask := uint64(1<<k) - 1 tmp := make([]*BitSetDynamic, 1<<k) for i := range tmp { tmp[i] = NewBitsetDynamic(n3, 0) } for L := 0; L < n2; L += k { R := min(L+k, n2) n := R - L for i := 0; i < n; i++ { for s := 0; s < 1<<i; s++ { tmp[s|1<<i].SetOr(tmp[s], matB[L+i]) } } for i := 0; i < n1; i++ { s := matA[i].data[L>>6] >> (L & 63) & mask res[i].IOr(tmp[s]) } } return res } // 动态bitset,支持切片操作. type BitSetDynamic struct { n int data []uint64 } // 建立一个大小为 n 的 bitset,初始值为 filledValue. // [0,n). func NewBitsetDynamic(n int, filledValue int) *BitSetDynamic { if !(filledValue == 0 || filledValue == 1) { panic("filledValue should be 0 or 1") } data := make([]uint64, n>>6+1) if filledValue == 1 { for i := range data { data[i] = ^uint64(0) } if n != 0 { data[len(data)-1] >>= (len(data) << 6) - n } } return &BitSetDynamic{n: n, data: data} } func (bs *BitSetDynamic) Add(i int) *BitSetDynamic { bs.data[i>>6] |= 1 << (i & 63) return bs } func (bs *BitSetDynamic) Has(i int) bool { return bs.data[i>>6]>>(i&63)&1 == 1 } func (bs *BitSetDynamic) Discard(i int) { bs.data[i>>6] &^= 1 << (i & 63) } func (bs *BitSetDynamic) Flip(i int) { bs.data[i>>6] ^= 1 << (i & 63) } func (bs *BitSetDynamic) AddRange(start, end int) { maskL := ^uint64(0) << (start & 63) maskR := ^uint64(0) << (end & 63) i := start >> 6 if i == end>>6 { bs.data[i] |= maskL ^ maskR return } bs.data[i] |= maskL for i++; i < end>>6; i++ { bs.data[i] = ^uint64(0) } bs.data[i] |= ^maskR } func (bs *BitSetDynamic) DiscardRange(start, end int) { maskL := ^uint64(0) << (start & 63) maskR := ^uint64(0) << (end & 63) i := start >> 6 if i == end>>6 { bs.data[i] &= ^maskL | maskR return } bs.data[i] &= ^maskL for i++; i < end>>6; i++ { bs.data[i] = 0 } bs.data[i] &= maskR } func (bs *BitSetDynamic) FlipRange(start, end int) { maskL := ^uint64(0) << (start & 63) maskR := ^uint64(0) << (end & 63) i := start >> 6 if i == end>>6 { bs.data[i] ^= maskL ^ maskR return } bs.data[i] ^= maskL for i++; i < end>>6; i++ { bs.data[i] = ^bs.data[i] } bs.data[i] ^= ^maskR } // 左移 k 位 (<<k). // !不能配合切片使用.必须保证lsh后的值域不超过原值域. func (b *BitSetDynamic) Lsh(k int) { if k == 0 { return } shift, offset := k>>6, k&63 if shift >= len(b.data) { for i := range b.data { b.data[i] = 0 } return } if offset == 0 { copy(b.data[shift:], b.data) } else { for i := len(b.data) - 1; i > shift; i-- { b.data[i] = b.data[i-shift]<<offset | b.data[i-shift-1]>>(64-offset) } b.data[shift] = b.data[0] << offset } for i := 0; i < shift; i++ { b.data[i] = 0 } } // 右移 k 位 (>>k). func (b *BitSetDynamic) Rsh(k int) { if k == 0 { return } shift, offset := k>>6, k&63 if shift >= len(b.data) { for i := range b.data { b.data[i] = 0 } return } lim := len(b.data) - 1 - shift if offset == 0 { copy(b.data, b.data[shift:]) } else { for i := 0; i < lim; i++ { b.data[i] = b.data[i+shift]>>offset | b.data[i+shift+1]<<(64-offset) } b.data[lim] = b.data[len(b.data)-1] >> offset } for i := lim + 1; i < len(b.data); i++ { b.data[i] = 0 } } func (bs *BitSetDynamic) Fill(zeroOrOne int) { if zeroOrOne == 0 { for i := range bs.data { bs.data[i] = 0 } } else { for i := range bs.data { bs.data[i] = ^uint64(0) } if bs.n != 0 { bs.data[len(bs.data)-1] >>= (len(bs.data) << 6) - bs.n } } } func (bs *BitSetDynamic) Clear() { for i := range bs.data { bs.data[i] = 0 } } func (bs *BitSetDynamic) OnesCount(start, end int) int { if start < 0 { start = 0 } if end > bs.n { end = bs.n } if start == 0 && end == bs.n { res := 0 for _, v := range bs.data { res += bits.OnesCount64(v) } return res } pos1 := start >> 6 pos2 := end >> 6 if pos1 == pos2 { return bits.OnesCount64(bs.data[pos1] & (^uint64(0) << (start & 63)) & ((1 << (end & 63)) - 1)) } count := 0 if (start & 63) > 0 { count += bits.OnesCount64(bs.data[pos1] & (^uint64(0) << (start & 63))) pos1++ } for i := pos1; i < pos2; i++ { count += bits.OnesCount64(bs.data[i]) } if (end & 63) > 0 { count += bits.OnesCount64(bs.data[pos2] & ((1 << (end & 63)) - 1)) } return count } func (bs *BitSetDynamic) AllOne(start, end int) bool { i := start >> 6 if i == end>>6 { mask := ^uint64(0)<<(start&63) ^ ^uint64(0)<<(end&63) return (bs.data[i] & mask) == mask } mask := ^uint64(0) << (start & 63) if (bs.data[i] & mask) != mask { return false } for i++; i < end>>6; i++ { if bs.data[i] != ^uint64(0) { return false } } mask = ^uint64(0) << (end & 63) return ^(bs.data[end>>6] | mask) == 0 } func (bs *BitSetDynamic) AllZero(start, end int) bool { i := start >> 6 if i == end>>6 { mask := ^uint64(0)<<(start&63) ^ ^uint64(0)<<(end&63) return (bs.data[i] & mask) == 0 } if (bs.data[i] >> (start & 63)) != 0 { return false } for i++; i < end>>6; i++ { if bs.data[i] != 0 { return false } } mask := ^uint64(0) << (end & 63) return (bs.data[end>>6] & ^mask) == 0 } // 返回第一个 1 的下标,若不存在则返回-1. func (bs *BitSetDynamic) IndexOfOne(position int) int { if position == 0 { for i, v := range bs.data { if v != 0 { return i<<6 | bs._lowbit(v) } } return -1 } for i := position >> 6; i < len(bs.data); i++ { v := bs.data[i] & (^uint64(0) << (position & 63)) if v != 0 { return i<<6 | bs._lowbit(v) } for i++; i < len(bs.data); i++ { if bs.data[i] != 0 { return i<<6 | bs._lowbit(bs.data[i]) } } } return -1 } // 返回第一个 0 的下标,若不存在则返回-1。 func (bs *BitSetDynamic) IndexOfZero(position int) int { if position == 0 { for i, v := range bs.data { if v != ^uint64(0) { return i<<6 | bs._lowbit(^v) } } return -1 } i := position >> 6 if i < len(bs.data) { v := bs.data[i] if position&63 != 0 { v |= ^((^uint64(0)) << (position & 63)) } if ^v != 0 { res := i<<6 | bs._lowbit(^v) if res < bs.n { return res } return -1 } for i++; i < len(bs.data); i++ { if ^bs.data[i] != 0 { res := i<<6 | bs._lowbit(^bs.data[i]) if res < bs.n { return res } return -1 } } } return -1 } // 返回右侧第一个 1 的位置(`包含`当前位置). // // 如果不存在, 返回 n. func (bs *BitSetDynamic) Next(index int) int { if index < 0 { index = 0 } if index >= bs.n { return bs.n } k := index >> 6 x := bs.data[k] s := index & 63 x = (x >> s) << s if x != 0 { return (k << 6) | bs._lowbit(x) } for i := k + 1; i < len(bs.data); i++ { if bs.data[i] == 0 { continue } return (i << 6) | bs._lowbit(bs.data[i]) } return bs.n } // 返回左侧第一个 1 的位置(`包含`当前位置). // // 如果不存在, 返回 -1. func (bs *BitSetDynamic) Prev(index int) int { if index >= bs.n-1 { index = bs.n - 1 } if index < 0 { return -1 } k := index >> 6 if (index & 63) < 63 { x := bs.data[k] x &= (1 << ((index & 63) + 1)) - 1 if x != 0 { return (k << 6) | bs._topbit(x) } k-- } for i := k; i >= 0; i-- { if bs.data[i] == 0 { continue } return (i << 6) | bs._topbit(bs.data[i]) } return -1 } func (bs *BitSetDynamic) Equals(other *BitSetDynamic) bool { if len(bs.data) != len(other.data) { return false } for i := range bs.data { if bs.data[i] != other.data[i] { return false } } return true } func (bs *BitSetDynamic) IsSubset(other *BitSetDynamic) bool { if bs.n > other.n { return false } for i, v := range bs.data { if (v & other.data[i]) != v { return false } } return true } func (bs *BitSetDynamic) IsSuperset(other *BitSetDynamic) bool { if bs.n < other.n { return false } for i, v := range other.data { if (v & bs.data[i]) != v { return false } } return true } func (bs *BitSetDynamic) IOr(other *BitSetDynamic) *BitSetDynamic { for i, v := range other.data { bs.data[i] |= v } return bs } func (bs *BitSetDynamic) IAnd(other *BitSetDynamic) *BitSetDynamic { for i, v := range other.data { bs.data[i] &= v } return bs } func (bs *BitSetDynamic) IXor(other *BitSetDynamic) *BitSetDynamic { for i, v := range other.data { bs.data[i] ^= v } return bs } func (bs *BitSetDynamic) Or(other *BitSetDynamic) *BitSetDynamic { res := NewBitsetDynamic(bs.n, 0) for i, v := range other.data { res.data[i] = bs.data[i] | v } return res } func (bs *BitSetDynamic) And(other *BitSetDynamic) *BitSetDynamic { res := NewBitsetDynamic(bs.n, 0) for i, v := range other.data { res.data[i] = bs.data[i] & v } return res } func (bs *BitSetDynamic) Xor(other *BitSetDynamic) *BitSetDynamic { res := NewBitsetDynamic(bs.n, 0) for i, v := range other.data { res.data[i] = bs.data[i] ^ v } return res } func (bs *BitSetDynamic) SetOr(a *BitSetDynamic, b *BitSetDynamic) *BitSetDynamic { for i := range a.data { bs.data[i] = a.data[i] | b.data[i] } return b } func (bs *BitSetDynamic) IOrRange(start, end int, other *BitSetDynamic) { if other.n != end-start { panic("length of other must equal to end-start") } a, b := 0, other.n for start < end && (start&63) != 0 { bs.data[start>>6] |= other._get(a) << (start & 63) a++ start++ } for start < end && (end&63) != 0 { end-- b-- bs.data[end>>6] |= other._get(b) << (end & 63) } // other[a:b] -> this[start:end] l, r := start>>6, end>>6 s := a >> 6 n := r - l if (a & 63) == 0 { for i := 0; i < n; i++ { bs.data[l+i] |= other.data[s+i] } } else { hi := a & 63 lo := 64 - hi for i := 0; i < n; i++ { bs.data[l+i] |= (other.data[s+i] >> hi) | (other.data[s+i+1] << lo) } } } func (bs *BitSetDynamic) IAndRange(start, end int, other *BitSetDynamic) { if other.n != end-start { panic("length of other must equal to end-start") } a, b := 0, other.n for start < end && (start&63) != 0 { if other._get(a) == 0 { bs.data[start>>6] &^= 1 << (start & 63) } a++ start++ } for start < end && (end&63) != 0 { end-- b-- if other._get(b) == 0 { bs.data[end>>6] &^= 1 << (end & 63) } } // other[a:b] -> this[start:end] l, r := start>>6, end>>6 s := a >> 6 n := r - l if (a & 63) == 0 { for i := 0; i < n; i++ { bs.data[l+i] &= other.data[s+i] } } else { hi := a & 63 lo := 64 - hi for i := 0; i < n; i++ { bs.data[l+i] &= (other.data[s+i] >> hi) | (other.data[s+i+1] << lo) } } } func (bs *BitSetDynamic) IXorRange(start, end int, other *BitSetDynamic) { if other.n != end-start { panic("length of other must equal to end-start") } a, b := 0, other.n for start < end && (start&63) != 0 { bs.data[start>>6] ^= other._get(a) << (start & 63) a++ start++ } for start < end && (end&63) != 0 { end-- b-- bs.data[end>>6] ^= other._get(b) << (end & 63) } // other[a:b] -> this[start:end] l, r := start>>6, end>>6 s := a >> 6 n := r - l if (a & 63) == 0 { for i := 0; i < n; i++ { bs.data[l+i] ^= other.data[s+i] } } else { hi := a & 63 lo := 64 - hi for i := 0; i < n; i++ { bs.data[l+i] ^= (other.data[s+i] >> hi) | (other.data[s+i+1] << lo) } } } // 类似js中类型数组的set操作.如果超出赋值范围,抛出异常. // // other: 要赋值的bitset. // offset: 赋值的起始元素下标. func (bs *BitSetDynamic) Set(other *BitSetDynamic, offset int) { left, right := offset, offset+other.n if right > bs.n { panic("out of range") } a, b := 0, other.n for left < right && (left&63) != 0 { if other.Has(a) { bs.Add(left) } else { bs.Discard(left) } a++ left++ } for left < right && (right&63) != 0 { right-- b-- if other.Has(b) { bs.Add(right) } else { bs.Discard(right) } } // other[a:b] -> this[start:end] l, r := left>>6, right>>6 s := a >> 6 n := r - l if (a & 63) == 0 { for i := 0; i < n; i++ { bs.data[l+i] = other.data[s+i] } } else { hi := a & 63 lo := 64 - hi for i := 0; i < n; i++ { bs.data[l+i] = (other.data[s+i] >> hi) | (other.data[s+i+1] << lo) } } } func (bs *BitSetDynamic) Slice(start, end int) *BitSetDynamic { if start < 0 { start += bs.n } if start < 0 { start = 0 } if end < 0 { end += bs.n } if end > bs.n { end = bs.n } if start >= end { return NewBitsetDynamic(0, 0) } if start == 0 && end == bs.n { return bs.Copy() } res := NewBitsetDynamic(end-start, 0) remain := (end - start) & 63 for i := 0; i < remain; i++ { if bs.Has(end - 1) { res.Add(end - start - 1) } end-- } n := (end - start) >> 6 hi := start & 63 lo := 64 - hi s := start >> 6 if hi == 0 { for i := 0; i < n; i++ { res.data[i] ^= bs.data[s+i] } } else { for i := 0; i < n; i++ { res.data[i] ^= (bs.data[s+i] >> hi) ^ (bs.data[s+i+1] << lo) } } return res } func (bs *BitSetDynamic) Copy() *BitSetDynamic { res := NewBitsetDynamic(bs.n, 0) copy(res.data, bs.data) return res } func (bs *BitSetDynamic) CopyAndResize(size int) *BitSetDynamic { newBits := make([]uint64, (size+63)>>6) copy(newBits, bs.data[:min(len(bs.data), len(newBits))]) remainingBits := size & 63 if remainingBits != 0 { mask := (1 << remainingBits) - 1 newBits[len(newBits)-1] &= uint64(mask) } return &BitSetDynamic{data: newBits, n: size} } func (bs *BitSetDynamic) Resize(size int) { newBits := make([]uint64, (size+63)>>6) copy(newBits, bs.data[:min(len(bs.data), len(newBits))]) remainingBits := size & 63 if remainingBits != 0 { mask := (1 << remainingBits) - 1 newBits[len(newBits)-1] &= uint64(mask) } bs.data = newBits bs.n = size } func (bs *BitSetDynamic) Expand(size int) { if size <= bs.n { return } bs.Resize(size) } func (bs *BitSetDynamic) BitLength() int { return bs._lastIndexOfOne() + 1 } // 遍历所有 1 的位置. func (bs *BitSetDynamic) ForEach(f func(pos int) (shouldBreak bool)) { for i, v := range bs.data { for ; v != 0; v &= v - 1 { j := (i << 6) | bs._lowbit(v) if f(j) { return } } } } func (bs *BitSetDynamic) Size() int { return bs.n } func (bs *BitSetDynamic) String() string { sb := strings.Builder{} sb.WriteString("BitSetDynamic{") nums := []string{} bs.ForEach(func(pos int) bool { nums = append(nums, fmt.Sprintf("%d", pos)) return false }) sb.WriteString(strings.Join(nums, ",")) sb.WriteString("}") return sb.String() } // (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2) func (bs *BitSetDynamic) _topbit(x uint64) int { if x == 0 { return -1 } return 63 - bits.LeadingZeros64(x) } // (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2) func (bs *BitSetDynamic) _lowbit(x uint64) int { if x == 0 { return -1 } return bits.TrailingZeros64(x) } func (bs *BitSetDynamic) _get(i int) uint64 { return bs.data[i>>6] >> (i & 63) & 1 } func (bs *BitSetDynamic) _lastIndexOfOne() int { for i := len(bs.data) - 1; i >= 0; i-- { x := bs.data[i] if x != 0 { return (i << 6) | (bs._topbit(x)) } } return -1 } func min(a, b int) int { if a < b { return a } return b } func max(a, b int) int { if a < b { return b } return a }