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package g1101_1200.s1187_make_array_strictly_increasing;
// #Hard #Array #Dynamic_Programming #Binary_Search
// #2022_03_03_Time_33_ms_(95.51%)_Space_42.4_MB_(82.02%)
import java.util.Arrays;
public class Solution {
public int makeArrayIncreasing(int[] arr1, int[] arr2) {
Arrays.sort(arr2);
int start = 0;
for (int i = 0; i < arr2.length; i++) {
if (arr2[i] != arr2[start]) {
arr2[++start] = arr2[i];
}
}
int l2 = start + 1;
int[] dp = new int[l2 + 2];
for (int i = 0; i < arr1.length; i++) {
int noChange = dp[dp.length - 1];
if (i > 0 && (arr1[i - 1] >= arr1[i])) {
noChange = -1;
}
for (int j = dp.length - 2; j > 0; j--) {
if (arr2[j - 1] < arr1[i] && dp[j] != -1) {
noChange = noChange == -1 ? dp[j] : Math.min(noChange, dp[j]);
}
if (dp[j - 1] != -1) {
dp[j] = 1 + dp[j - 1];
} else {
dp[j] = -1;
}
if (i > 0 && arr1[i - 1] < arr2[j - 1] && dp[dp.length - 1] >= 0) {
dp[j] =
dp[j] == -1
? (dp[dp.length - 1] + 1)
: Math.min(dp[j], dp[dp.length - 1] + 1);
}
}
dp[0] = -1;
dp[dp.length - 1] = noChange;
}
int res = -1;
for (int num : dp) {
if (num != -1) {
res = res == -1 ? num : Math.min(res, num);
}
}
return res;
}
}
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