import java.io.IOException;
import java.util.Scanner;
/**
* @author khelman
*/
public class kug {
public static void main(String... args) throws IOException {
Scanner scanner = new Scanner(System.in);
int n = scanner.nextInt();
long[][] c = new long[n][n];
for (int i = 0; i < n; i++) {
for (int j = i; j < n; j++) {
c[i][j] = scanner.nextLong();
}
}
long[][] d = new long[n][n];
long[][] m_old = new long[n][n];
long[][] m_new = new long[n][n];
for (int i = 0; i < n; i++) {
d[i][i] = c[i][i];
m_old[i][i] = c[i][i];
}
for (int l = 2; l <= n; l++) { //length
for (int i = 0; i <= n - l; i++) { //start
//calculating i to i + l - 1 (total length l)
d[i][i + l - 1] = Long.MAX_VALUE;
for (int j = 0; j < l; j++) { //gap position
long leftCost = 0L;
long rightCost = 0L;
if (j > 0) {
leftCost = d[i][i + j - 1];
if (j < l - 1) {
//middle gap
m_new[i][i + j] = Math.min(Math.min(m_old[i][i + j], m_old[i + 1][i + j]), c[i][i + l - 1]);
} else {
//right most gap
m_new[i][i + j] = Math.min(m_old[i + 1][i + j], c[i][i + l - 1]);
}
} else {
//left most gap
m_new[i][i + j] = Math.min(m_old[i][i + j], c[i][i + l - 1]);
}
if (j < l - 1) {
rightCost = d[i + j + 1][i + l - 1];
}
if (d[i][i + l - 1] > leftCost + rightCost + m_new[i][i + j]) {
d[i][i + l - 1] = leftCost + rightCost + m_new[i][i + j];
}
}
for (int j = 1; j < l; j++) { //split position
long leftCost = d[i][i + j - 1];
long rightCost = d[i + j][i + l - 1];
if (d[i][i + l - 1] > leftCost + rightCost) {
d[i][i + l - 1] = leftCost + rightCost;
}
}
}
long[][] tmp = m_new;
m_new = m_old;
m_old = tmp;
}
System.out.println(d[0][n - 1]);
}
}
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 | import java.io.IOException; import java.util.Scanner; /** * @author khelman */ public class kug { public static void main(String... args) throws IOException { Scanner scanner = new Scanner(System.in); int n = scanner.nextInt(); long[][] c = new long[n][n]; for (int i = 0; i < n; i++) { for (int j = i; j < n; j++) { c[i][j] = scanner.nextLong(); } } long[][] d = new long[n][n]; long[][] m_old = new long[n][n]; long[][] m_new = new long[n][n]; for (int i = 0; i < n; i++) { d[i][i] = c[i][i]; m_old[i][i] = c[i][i]; } for (int l = 2; l <= n; l++) { //length for (int i = 0; i <= n - l; i++) { //start //calculating i to i + l - 1 (total length l) d[i][i + l - 1] = Long.MAX_VALUE; for (int j = 0; j < l; j++) { //gap position long leftCost = 0L; long rightCost = 0L; if (j > 0) { leftCost = d[i][i + j - 1]; if (j < l - 1) { //middle gap m_new[i][i + j] = Math.min(Math.min(m_old[i][i + j], m_old[i + 1][i + j]), c[i][i + l - 1]); } else { //right most gap m_new[i][i + j] = Math.min(m_old[i + 1][i + j], c[i][i + l - 1]); } } else { //left most gap m_new[i][i + j] = Math.min(m_old[i][i + j], c[i][i + l - 1]); } if (j < l - 1) { rightCost = d[i + j + 1][i + l - 1]; } if (d[i][i + l - 1] > leftCost + rightCost + m_new[i][i + j]) { d[i][i + l - 1] = leftCost + rightCost + m_new[i][i + j]; } } for (int j = 1; j < l; j++) { //split position long leftCost = d[i][i + j - 1]; long rightCost = d[i + j][i + l - 1]; if (d[i][i + l - 1] > leftCost + rightCost) { d[i][i + l - 1] = leftCost + rightCost; } } } long[][] tmp = m_new; m_new = m_old; m_old = tmp; } System.out.println(d[0][n - 1]); } } |
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