結果
問題 | No.426 往復漸化式 |
ユーザー | uwi |
提出日時 | 2016-09-23 00:18:45 |
言語 | Java21 (openjdk 21) |
結果 |
WA
|
実行時間 | - |
コード長 | 8,835 bytes |
コンパイル時間 | 4,834 ms |
コンパイル使用メモリ | 89,728 KB |
実行使用メモリ | 235,316 KB |
最終ジャッジ日時 | 2024-11-17 15:18:51 |
合計ジャッジ時間 | 36,736 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge5 |
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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 | 106 ms
53,480 KB |
testcase_01 | WA | - |
testcase_02 | WA | - |
testcase_03 | WA | - |
testcase_04 | WA | - |
testcase_05 | WA | - |
testcase_06 | WA | - |
testcase_07 | WA | - |
testcase_08 | WA | - |
testcase_09 | WA | - |
testcase_10 | WA | - |
testcase_11 | WA | - |
testcase_12 | WA | - |
testcase_13 | WA | - |
testcase_14 | WA | - |
testcase_15 | WA | - |
testcase_16 | WA | - |
testcase_17 | WA | - |
testcase_18 | WA | - |
testcase_19 | WA | - |
testcase_20 | WA | - |
testcase_21 | WA | - |
testcase_22 | WA | - |
ソースコード
package contest; import java.io.BufferedReader; import java.io.InputStreamReader; import java.io.PrintWriter; import java.io.StringReader; import java.util.Arrays; public class N426 { static BufferedReader br; static PrintWriter out; static String INPUT = ""; static int[] nia() throws Exception { String[] sp = br.readLine().split(" "); int[] ret = new int[sp.length]; for(int i = 0;i < ret.length;i++){ ret[i] = Integer.parseInt(sp[i]); } return ret; } // // b2 = XA2A1A0a0 // b1 = B2(XA2A1A0a0)+YA1A0a0 // b1 = B1(B2(XA2A1A0a0)+YA1A0a0)+ZA0a0 // B1(B2XA3+Y)A2+Z // B1B2*X*A3+YA2+Z static void solve() throws Exception { int n = Integer.parseInt(br.readLine()); int[] a = nia(); int[] b = nia(); assert a.length == 3; assert b.length == 2; int q = Integer.parseInt(br.readLine()); SegmentTreeMatrix sta = new SegmentTreeMatrix(n+1, 3); SegmentTreeMatrix stb = new SegmentTreeMatrix(n+1, 2); SegmentTreeNode stx = new SegmentTreeNode(n+1); int[][] V = { {0, 0, 0}, {0, 0, 0} }; for(int i = 0;i < q;i++){ String[] sp = br.readLine().split(" "); if(sp[0].equals("a")){ int ind = Integer.parseInt(sp[1]); int p = 2; for(int j = 0;j < 3;j++){ for(int k = 0;k < 3;k++){ int val = Integer.parseInt(sp[p]); sta.node[sta.H+ind][j][k] = val; stx.node[stx.H+n-ind].A[j][k] = val; p++; } } sta.update(ind); stx.update(n-ind); }else if(sp[0].equals("b")){ int ind = Integer.parseInt(sp[1]); int p = 2; for(int j = 0;j < 2;j++){ for(int k = 0;k < 2;k++){ int val = Integer.parseInt(sp[p]); stb.node[stb.H+n-ind][j][k] = val; stx.node[stx.H+n-ind].B[j][k] = val; p++; } } stb.update(n-ind); stx.update(n-ind); }else if(sp[0].equals("ga")){ int ind = Integer.parseInt(sp[1]); int[] v = sta.apply(0, ind, a); out.println(v[0] + " " + v[1] + " " + v[2]); out.flush(); }else if(sp[0].equals("gb")){ int ind = Integer.parseInt(sp[1]); int[] v = stb.apply(0, n-ind, b); // for(int j = 0;j < n;j++){ // tr(stx.node[stx.H+j].A); // tr(stx.node[stx.H+j].B); // tr(stx.node[stx.H+j].Y); // } int[][] w = stx.apply(0, n-ind, V); // tr(w); int[] wv = mul(w, sta.apply(0, ind+1, a)); out.println((v[0]+wv[0])%mod + " " + (v[1]+wv[1])%mod); out.flush(); }else{ throw new RuntimeException(); } } } public static int mod = 1000000007; public static long BIG = 8L*mod*mod; public static int[] mul(int[][] A, int[] v) { int m = A.length; int n = v.length; int[] w = new int[m]; for(int i = 0;i < m;i++){ long sum = 0; for(int k = 0;k < n;k++){ sum += (long)A[i][k] * v[k]; if(sum >= BIG)sum -= BIG; } w[i] = (int)(sum % mod); } return w; } public static class SegmentTreeMatrix { public int M, H, N; public int[][][] node; public static int mod = 1000000007; public static long BIG = 8L*mod*mod; public int S; public SegmentTreeMatrix(int n, int S) { N = n; M = Integer.highestOneBit(Math.max(N-1, 1))<<2; H = M>>>1; this.S = S; node = new int[M][][]; for(int i = 0;i < N;i++){ node[H+i] = new int[S][S]; for(int j = 0;j < S;j++){ node[H+i][j][j] = 1; } } for(int i = H-1;i >= 1;i--)propagate(i); } private void propagate(int cur) { node[cur] = prop2(node[2*cur], node[2*cur+1], node[cur]); } private int[][] prop2(int[][] L, int[][] R, int[][] C) { if(L != null && R != null){ C = mul(R, L, C, mod); return C; }else if(L != null){ return prop1(L, C); }else if(R != null){ return prop1(R, C); }else{ return null; } } private int[][] prop1(int[][] L, int[][] C) { if(C == null){ // C = L; // read only C = new int[S][]; for(int i = 0;i < S;i++){ C[i] = Arrays.copyOf(L[i], S); } }else{ for(int i = 0;i < S;i++){ C[i] = Arrays.copyOf(L[i], S); } } return C; } public void update(int pos) { for(int i = H+pos>>>1;i >= 1;i>>>=1)propagate(i); } public int[] apply(int l, int r, int[] v){ return apply(l, r, 0, H, 1, v); } protected int[] apply(int l, int r, int cl, int cr, int cur, int[] v) { if(l <= cl && cr <= r){ return mul(node[cur], v, mod); }else{ int mid = cl+cr>>>1; if(cl < r && l < mid){ v = apply(l, r, cl, mid, 2*cur, v); } if(mid < r && l < cr){ v = apply(l, r, mid, cr, 2*cur+1, v); } return v; } } public static int[] mul(int[][] A, int[] v, int mod) { int m = A.length; int n = v.length; int[] w = new int[m]; for(int i = 0;i < m;i++){ long sum = 0; for(int k = 0;k < n;k++){ sum += (long)A[i][k] * v[k]; if(sum >= BIG)sum -= BIG; } w[i] = (int)(sum % mod); } return w; } public static int[][] mul(int[][] A, int[][] B, int[][] C, int mod) { int m = A.length; int n = A[0].length; int o = B[0].length; if(C == null)C = new int[m][o]; for(int i = 0;i < m;i++){ for(int j = 0;j < o;j++){ long sum = 0; for(int k = 0;k < n;k++){ sum += (long)A[i][k] * B[k][j]; if(sum >= BIG)sum -= BIG; } sum %= mod; C[i][j] = (int)sum; } } return C; } } public static class SegmentTreeNode { public int M, H, N; public Node[] node; public static int mod = 1000000007; public static long BIG = 8L*mod*mod; private static class Node { int[][] B; int[][] A; int[][] Y; public Node() { B = new int[2][2]; A = new int[3][3]; Y = new int[2][3]; } } public SegmentTreeNode(int n) { N = n; M = Integer.highestOneBit(Math.max(N-1, 1))<<2; H = M>>>1; node = new Node[M]; for(int i = 0;i < N;i++){ node[H+i] = new Node(); for(int j = 0;j < 2;j++){ for(int k = 0;k < 3;k++){ node[H+i].Y[j][k] = 6*(n-1-i)+k+j*3; } } for(int j = 0;j < 2;j++){ node[H+i].B[j][j] = 1; } for(int j = 0;j < 3;j++){ node[H+i].A[j][j] = 1; } } for(int i = H-1;i >= 1;i--)propagate(i); } private void propagate(int cur) { node[cur] = prop2(node[2*cur], node[2*cur+1], node[cur]); } // B'(BXA+Y)A'+Z private Node prop2(Node L, Node R, Node C) { if(L != null && R != null){ if(C == null)C = new Node(); C.B = mul(R.B, L.B); C.A = mul(L.A, R.A); C.Y = add(mul(R.B, mul(L.Y, R.A)), R.Y); return C; }else if(L != null){ return prop1(L, C); }else if(R != null){ return prop1(R, C); }else{ return null; } } private Node prop1(Node L, Node C) { if(C == null)C = new Node(); C.B = L.B; C.A = L.A; C.Y = L.Y; return C; } public void update(int pos) { for(int i = H+pos>>>1;i >= 1;i>>>=1)propagate(i); } public static int[] mul(int[][] A, int[] v) { int m = A.length; int n = v.length; int[] w = new int[m]; for(int i = 0;i < m;i++){ long sum = 0; for(int k = 0;k < n;k++){ sum += (long)A[i][k] * v[k]; if(sum >= BIG)sum -= BIG; } w[i] = (int)(sum % mod); } return w; } public static int[][] mul(int[][] A, int[][] B) { int m = A.length; int n = A[0].length; int o = B[0].length; int[][] C = new int[m][o]; for(int i = 0;i < m;i++){ long[] sum = new long[n]; for(int k = 0;k < n;k++){ for(int j = 0;j < n;j++){ sum[j] += (long)A[i][k] * B[k][j]; if(sum[j] >= BIG)sum[j] -= BIG; } } for(int j = 0;j < n;j++){ C[i][j] = (int)(sum[j] % mod); } } return C; } public static int[][] add(int[][] A, int[][] B) { int m = A.length; int n = A[0].length; int[][] C = new int[m][n]; for(int i = 0;i < m;i++){ for(int j = 0;j < n;j++){ C[i][j] = (A[i][j] + B[i][j]) % mod; } } return C; } public int[][] apply(int l, int r, int[][] v){ return apply(l, r, 0, H, 1, v); } protected int[][] apply(int l, int r, int cl, int cr, int cur, int[][] v) { if(l <= cl && cr <= r){ return add(mul(mul(node[cur].B, v), node[cur].A), node[cur].Y); }else{ int mid = cl+cr>>>1; if(cl < r && l < mid){ v = apply(l, r, cl, mid, 2*cur, v); } if(mid < r && l < cr){ v = apply(l, r, mid, cr, 2*cur+1, v); } return v; } } } public static void main(String[] args) throws Exception { long S = System.currentTimeMillis(); br = new BufferedReader(INPUT.isEmpty() ? new InputStreamReader(System.in) : new StringReader(INPUT)); out = new PrintWriter(System.out); solve(); out.flush(); long G = System.currentTimeMillis(); tr(G-S+"ms"); } static void tr(Object... o) { if(INPUT.length() != 0)System.out.println(Arrays.deepToString(o)); } }