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| 1 | +```java |
| 2 | +import java.util.*; |
| 3 | +import java.io.*; |
| 4 | + |
| 5 | +class IOController { |
| 6 | + BufferedReader br; |
| 7 | + BufferedWriter bw; |
| 8 | + StringTokenizer st; |
| 9 | + |
| 10 | + public IOController() { |
| 11 | + br = new BufferedReader(new InputStreamReader(System.in)); |
| 12 | + bw = new BufferedWriter(new OutputStreamWriter(System.out)); |
| 13 | + st = new StringTokenizer(""); |
| 14 | + } |
| 15 | + |
| 16 | + String nextLine() throws Exception { |
| 17 | + String line = br.readLine(); |
| 18 | + st = new StringTokenizer(line); |
| 19 | + return line; |
| 20 | + } |
| 21 | + |
| 22 | + String nextToken() throws Exception { |
| 23 | + while (!st.hasMoreTokens()) nextLine(); |
| 24 | + return st.nextToken(); |
| 25 | + } |
| 26 | + |
| 27 | + int nextInt() throws Exception { |
| 28 | + return Integer.parseInt(nextToken()); |
| 29 | + } |
| 30 | + |
| 31 | + long nextLong() throws Exception { |
| 32 | + return Long.parseLong(nextToken()); |
| 33 | + } |
| 34 | + |
| 35 | + double nextDouble() throws Exception { |
| 36 | + return Double.parseDouble(nextToken()); |
| 37 | + } |
| 38 | + |
| 39 | + void close() throws Exception { |
| 40 | + bw.flush(); |
| 41 | + bw.close(); |
| 42 | + } |
| 43 | + |
| 44 | + void write(String content) throws Exception { |
| 45 | + bw.write(content); |
| 46 | + } |
| 47 | + |
| 48 | +} |
| 49 | + |
| 50 | +public class Main { |
| 51 | + |
| 52 | + static IOController io; |
| 53 | + |
| 54 | + // |
| 55 | + |
| 56 | + static int N; |
| 57 | + static long R; |
| 58 | + static int[][] a; |
| 59 | + |
| 60 | + public static void main(String[] args) throws Exception { |
| 61 | + |
| 62 | + io = new IOController(); |
| 63 | + |
| 64 | + init(); |
| 65 | + solve(); |
| 66 | + |
| 67 | + io.close(); |
| 68 | + |
| 69 | + } |
| 70 | + |
| 71 | + static void init() throws Exception { |
| 72 | + |
| 73 | + N = io.nextInt(); |
| 74 | + R = io.nextLong(); |
| 75 | + a = new int[N][N]; |
| 76 | + for(int i=0;i<N;i++) for(int j=0;j<N;j++) a[i][j] = io.nextInt(); |
| 77 | + |
| 78 | + } |
| 79 | + |
| 80 | + static void solve() throws Exception { |
| 81 | + |
| 82 | + // 불가능한 경우 판별 |
| 83 | + { |
| 84 | + long max = 0; |
| 85 | + for(int i=0;i<N;i++) for(int j=0;j<N;j++) max = Math.max(max, a[i][j]); |
| 86 | + if(max*N*N < R) { |
| 87 | + io.write("-1"); |
| 88 | + return; |
| 89 | + } |
| 90 | + } |
| 91 | + |
| 92 | + int s = 1, e = N, m = (s+e)>>1; |
| 93 | + while(s<e) { |
| 94 | + |
| 95 | + int K = m; |
| 96 | + int[][] row = new int[N][N]; |
| 97 | + int[][] rowMax = new int[N][N]; |
| 98 | + Deque<int[]>[] deques = new Deque[N]; |
| 99 | + for(int i=0;i<N;i++) deques[i] = new ArrayDeque<>(); |
| 100 | + |
| 101 | + for(int i=0;i<N;i++) { |
| 102 | + Deque<int[]> deque = new ArrayDeque<>(); |
| 103 | + for(int j=0;j<K-1;j++) { |
| 104 | + while(!deque.isEmpty() && deque.peekLast()[0] < a[i][j]) deque.pollLast(); |
| 105 | + deque.offerLast(new int[]{a[i][j], j}); |
| 106 | + } |
| 107 | + for(int j=0;j<N;j++) { |
| 108 | + if(j+K-1 < N) { |
| 109 | + while(!deque.isEmpty() && deque.peekLast()[0] < a[i][j+K-1]) deque.pollLast(); |
| 110 | + deque.offerLast(new int[]{a[i][j+K-1], j+K-1}); |
| 111 | + } |
| 112 | + while(!deque.isEmpty() && deque.peekFirst()[1] < j) deque.pollFirst(); |
| 113 | + row[i][j] = deque.peekFirst()[0]; |
| 114 | + |
| 115 | + // |
| 116 | + |
| 117 | + while(!deques[j].isEmpty() && deques[j].peekLast()[0] < row[i][j]) deques[j].pollLast(); |
| 118 | + deques[j].offerLast(new int[]{row[i][j], i}); |
| 119 | + while(!deques[j].isEmpty() && i - deques[j].peekFirst()[1] >= K) deques[j].pollFirst(); |
| 120 | + if(i >= K-1) rowMax[i-K+1][j] = deques[j].peekFirst()[0]; |
| 121 | + |
| 122 | + } |
| 123 | + } |
| 124 | + for(int i=N-K+1;i<N;i++) for(int j=0;j<N;j++) { |
| 125 | + while(!deques[j].isEmpty() && deques[j].peekFirst()[1] < i) deques[j].pollFirst(); |
| 126 | + rowMax[i][j] = deques[j].peekFirst()[0]; |
| 127 | + } |
| 128 | + |
| 129 | + int[][] col = new int[N][N]; |
| 130 | + int[][] colMax = new int[N][N]; |
| 131 | + deques = new Deque[N]; |
| 132 | + for(int i=0;i<N;i++) deques[i] = new ArrayDeque<>(); |
| 133 | + |
| 134 | + for(int j=0;j<N;j++) { |
| 135 | + Deque<int[]> deque = new ArrayDeque<>(); |
| 136 | + for(int i=0;i<K-1;i++) { |
| 137 | + while(!deque.isEmpty() && deque.peekLast()[0] < a[i][j]) deque.pollLast(); |
| 138 | + deque.offerLast(new int[]{a[i][j], i}); |
| 139 | + } |
| 140 | + for(int i=0;i<N;i++) { |
| 141 | + if(i+K-1 < N) { |
| 142 | + while(!deque.isEmpty() && deque.peekLast()[0] < a[i+K-1][j]) deque.pollLast(); |
| 143 | + deque.offerLast(new int[]{a[i+K-1][j], i+K-1}); |
| 144 | + } |
| 145 | + while(!deque.isEmpty() && deque.peekFirst()[1] < i) deque.pollFirst(); |
| 146 | + col[i][j] = deque.peekFirst()[0]; |
| 147 | + |
| 148 | + // |
| 149 | + |
| 150 | + while(!deques[i].isEmpty() && deques[i].peekLast()[0] < col[i][j]) deques[i].pollLast(); |
| 151 | + deques[i].offerLast(new int[]{col[i][j], j}); |
| 152 | + while(!deques[i].isEmpty() && j - deques[i].peekFirst()[1] >= K) deques[i].pollFirst(); |
| 153 | + if(j >= K-1) colMax[i][j-K+1] = deques[i].peekFirst()[0]; |
| 154 | + } |
| 155 | + } |
| 156 | + for(int i=0;i<N;i++) for(int j=N-K+1;j<N;j++) { |
| 157 | + while(!deques[i].isEmpty() && deques[i].peekFirst()[1] < j) deques[i].pollFirst(); |
| 158 | + colMax[i][j] = deques[i].peekFirst()[0]; |
| 159 | + } |
| 160 | + |
| 161 | + long res = 0; |
| 162 | + for(int i=0;i<N;i++) for(int j=0;j<N;j++) res += Math.max(rowMax[i][j], colMax[i][j]); |
| 163 | + |
| 164 | + if(res >= R) e = m; |
| 165 | + else s = m+1; |
| 166 | + m = (s+e)>>1; |
| 167 | + |
| 168 | + } |
| 169 | + io.write(m + "\n"); |
| 170 | + |
| 171 | + } |
| 172 | + |
| 173 | +} |
| 174 | +``` |
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