結果
| 問題 | No.1102 Remnants |
| ユーザー |
 narushima
|
| 提出日時 | 2020-07-03 22:53:54 |
| 言語 | Java21 (openjdk 21) |
| 結果 |
MLE
|
| 実行時間 | - |
| コード長 | 16,490 bytes |
| コンパイル時間 | 4,061 ms |
| コンパイル使用メモリ | 95,104 KB |
| 実行使用メモリ | 450,952 KB |
| 最終ジャッジ日時 | 2024-09-17 04:34:40 |
| 合計ジャッジ時間 | 11,026 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge3 |
（要ログイン）
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 | MLE | - |
| testcase_01 | MLE | - |
| testcase_02 | MLE | - |
| testcase_03 | MLE | - |
| testcase_04 | MLE | - |
| testcase_05 | MLE | - |
| testcase_06 | MLE | - |
| testcase_07 | MLE | - |
| testcase_08 | MLE | - |
| testcase_09 | MLE | - |
| testcase_10 | MLE | - |
| testcase_11 | MLE | - |
| testcase_12 | MLE | - |
| testcase_13 | MLE | - |
| testcase_14 | MLE | - |
| testcase_15 | MLE | - |
| testcase_16 | MLE | - |
| testcase_17 | MLE | - |
| testcase_18 | MLE | - |
| testcase_19 | MLE | - |
| testcase_20 | MLE | - |
| testcase_21 | MLE | - |
| testcase_22 | MLE | - |
| testcase_23 | MLE | - |
| testcase_24 | MLE | - |
| testcase_25 | MLE | - |
| testcase_26 | MLE | - |
| testcase_27 | MLE | - |
ソースコード
import java.io.*;
import java.util.*;
public class Main {
static void solve() {
int n = ni(), k = ni();
int[] a = na(n);
long ans = 0;
preFact(101_000_000);
for(int i=0;i<n;i++) {
long left = cmb(i+k, k);
long right = cmb(n-i-1 + k, k);
long num = mul(left, right);
ans = plus(ans, mul(a[i], num));
}
out.println(ans);
}
//Fast Fermat Combination
static int fact[];
static int revFact[];
static void preFact(int n) {
fact = new int[n + 1];
revFact = new int[n + 1];
fact[0] = 1;
for (int i = 0; i < n; i++) {
fact[i + 1] = (int)mul(i + 1, fact[i]);
}
revFact[n] = (int)div(1, fact[n]);
for (int i = n - 1; i >= 0; i--) {
revFact[i] = (int)mul(revFact[i + 1], i + 1);
}
}
static long cmb(int a, int b) {
if (a<b)return 0;
if (fact.length == 0)
System.err.println("error : factorials has not been culculated!! do [pre_factorial] method");
long af = fact[a];
long bf = revFact[b];
long abf = revFact[a - b];
long res = mul(mul(af, bf), abf);
return res;
}
//constant
static final int inf = Integer.MAX_VALUE / 2;
static final long linf = Long.MAX_VALUE / 3;
static final double dinf = Double.MAX_VALUE / 3;
static final long mod = (long) 1e9 + 7;
static final int[] dx = { -1, 0, 1, 0 }, dy = { 0, -1, 0, 1 }, dx8 = { -1, -1, -1, 0, 0, 1, 1, 1 }, dy8 = { -1, 0, 1, -1, 1, -1, 0, 1 };
static final double eps = 1e-10, pi = Math.PI;
static StringBuilder sb = new StringBuilder();
//libraries
static void reverse(int ar[]) {
int len = ar.length;
for (int i = 0; i < len / 2; i++) {
int t = ar[i];
ar[i] = ar[len - 1 - i];
ar[len - 1 - i] = t;
}
}
static void reverse(long ar[]) {
int len = ar.length;
for (int i = 0; i < len / 2; i++) {
long t = ar[i];
ar[i] = ar[len - 1 - i];
ar[len - 1 - i] = t;
}
}
static void reverse(double ar[]) {
int len = ar.length;
for (int i = 0; i < len / 2; i++) {
double t = ar[i];
ar[i] = ar[len - 1 - i];
ar[len - 1 - i] = t;
}
}
static void reverse(char ar[]) {
int len = ar.length;
for (int i = 0; i < len / 2; i++) {
char t = ar[i];
ar[i] = ar[len - 1 - i];
ar[len - 1 - i] = t;
}
}
static String getReverse(String s) {
char c[] = s.toCharArray();
reverse(c);
s = String.valueOf(c);
return s;
}
static <T> void reverse(List<T> ls) {
int sz = ls.size();
for (int i = 0; i < sz / 2; i++) {
T t = ls.get(i);
ls.set(i, ls.get(sz - 1 - i));
ls.set(sz - 1 - i, t);
}
}
static <T> void reverse(T[] ar) {
int len = ar.length;
for (int i = 0; i < len / 2; i++) {
T t = ar[i];
ar[i] = ar[len - 1 - i];
ar[len - 1 - i] = t;
}
}
static void sbnl() {//StringBuilderに改行文字をappendする
sb.append("\n");
}
static int lowerBound(int[] a, int x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] < x) {
l = c;
} else {
r = c;
}
}
return r;
}
static int upperBound(int[] a, int x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] <= x) {
l = c;
} else {
r = c;
}
}
return r;
}
static int rlowerBound(int[] a, int x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] > x) {
l = c;
} else {
r = c;
}
}
return r;
}
static int rupperBound(int[] a, int x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] >= x) {
l = c;
} else {
r = c;
}
}
return r;
}
static int lowerBound(long[] a, long x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] < x) {
l = c;
} else {
r = c;
}
}
return r;
}
static int upperBound(long[] a, long x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] <= x) {
l = c;
} else {
r = c;
}
}
return r;
}
static int rlowerBound(long[] a, long x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] > x) {
l = c;
} else {
r = c;
}
}
return r;
}
static int rupperBound(long[] a, long x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] >= x) {
l = c;
} else {
r = c;
}
}
return r;
}
static int lowerBound(double[] a, double x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] < x) {
l = c;
} else {
r = c;
}
}
return r;
}
static int upperBound(double[] a, double x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] <= x) {
l = c;
} else {
r = c;
}
}
return r;
}
static int rlowerBound(double[] a, double x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] > x) {
l = c;
} else {
r = c;
}
}
return r;
}
static int rupperBound(double[] a, double x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] >= x) {
l = c;
} else {
r = c;
}
}
return r;
}
static int lowerBound(char[] a, char x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] < x) {
l = c;
} else {
r = c;
}
}
return r;
}
static int upperBound(char[] a, char x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] <= x) {
l = c;
} else {
r = c;
}
}
return r;
}
static int rlowerBound(char[] a, char x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] > x) {
l = c;
} else {
r = c;
}
}
return r;
}
static int rupperBound(char[] a, char x) {
int l = -1, r = a.length;
while (r - l > 1) {
int c = (l + r) / 2;
if (a[c] >= x) {
l = c;
} else {
r = c;
}
}
return r;
}
static <T> int lowerBound(List<T> ls, T x) throws RuntimeException {
if (ls.size() == 0)
return -1;
if (ls.get(0) instanceof Integer) {
return ~Collections.binarySearch(ls, x, (t1, t2) -> ((Integer) t1).compareTo((Integer) t2) >= 0 ? 1 : -1);
} else if (ls.get(0) instanceof Long) {
return ~Collections.binarySearch(ls, x, (t1, t2) -> ((Long) t1).compareTo((Long) t2) >= 0 ? 1 : -1);
} else if (ls.get(0) instanceof Double) {
return ~Collections.binarySearch(ls, x, (t1, t2) -> ((Double) t1).compareTo((Double) t2) >= 0 ? 1 : -1);
} else {
System.err.println(
String.format("%s:数値でないリストを二分探索しています。", Thread.currentThread().getStackTrace()[1].getMethodName()));
throw new RuntimeException();
}
}
static <T> int upperBound(List<T> ls, T x) throws RuntimeException {
if (ls.size() == 0)
return -1;
if (ls.get(0) instanceof Integer) {
return ~Collections.binarySearch(ls, x, (t1, t2) -> ((Integer) t1).compareTo((Integer) t2) > 0 ? 1 : -1);
} else if (ls.get(0) instanceof Long) {
return ~Collections.binarySearch(ls, x, (t1, t2) -> ((Long) t1).compareTo((Long) t2) > 0 ? 1 : -1);
} else if (ls.get(0) instanceof Double) {
return ~Collections.binarySearch(ls, x, (t1, t2) -> ((Double) t1).compareTo((Double) t2) > 0 ? 1 : -1);
} else {
System.err.println(
String.format("%s:数値でないリストを二分探索しています。", Thread.currentThread().getStackTrace()[1].getMethodName()));
throw new RuntimeException();
}
}
static <T> int rupperBound(List<T> ls, T x) throws RuntimeException {
if (ls.size() == 0)
return -1;
if (ls.get(0) instanceof Integer) {
return ~Collections.binarySearch(ls, x, (t1, t2) -> ((Integer) t1).compareTo((Integer) t2) < 0 ? 1 : -1);
} else if (ls.get(0) instanceof Long) {
return ~Collections.binarySearch(ls, x, (t1, t2) -> ((Long) t1).compareTo((Long) t2) < 0 ? 1 : -1);
} else if (ls.get(0) instanceof Double) {
return ~Collections.binarySearch(ls, x, (t1, t2) -> ((Double) t1).compareTo((Double) t2) < 0 ? 1 : -1);
} else {
System.err.println(
String.format("%s:数値でないリストを二分探索しています。", Thread.currentThread().getStackTrace()[1].getMethodName()));
throw new RuntimeException();
}
}
static <T> int rlowerBound(List<T> ls, T x) {
if (ls.size() == 0)
return -1;
if (ls.get(0) instanceof Integer) {
return ~Collections.binarySearch(ls, x, (t1, t2) -> ((Integer) t1).compareTo((Integer) t2) <= 0 ? 1 : -1);
} else if (ls.get(0) instanceof Long) {
return ~Collections.binarySearch(ls, x, (t1, t2) -> ((Long) t1).compareTo((Long) t2) <= 0 ? 1 : -1);
} else if (ls.get(0) instanceof Double) {
return ~Collections.binarySearch(ls, x, (t1, t2) -> ((Double) t1).compareTo((Double) t2) <= 0 ? 1 : -1);
} else {
System.err.println(
String.format("%s:数値でないリストを二分探索しています。", Thread.currentThread().getStackTrace()[1].getMethodName()));
throw new RuntimeException();
}
}
static int[] concat(int x, int arr[]) {
int ret[] = new int[arr.length + 1];
System.arraycopy(arr, 0, ret, 1, ret.length - 1);
ret[0] = x;
return ret;
}
static int[] concat(int arr[], int x) {
int ret[] = new int[arr.length + 1];
System.arraycopy(arr, 0, ret, 0, ret.length - 1);
ret[ret.length - 1] = x;
return ret;
}
static long[] concat(long x, long arr[]) {
long ret[] = new long[arr.length + 1];
System.arraycopy(arr, 0, ret, 1, ret.length - 1);
ret[0] = x;
return ret;
}
static long[] concat(long arr[], long x) {
long ret[] = new long[arr.length + 1];
System.arraycopy(arr, 0, ret, 0, ret.length - 1);
ret[ret.length - 1] = x;
return ret;
}
static char[] concat(char x, char arr[]) {
char ret[] = new char[arr.length + 1];
System.arraycopy(arr, 0, ret, 0, ret.length - 1);
ret[ret.length - 1] = x;
return ret;
}
static char[] concat(char arr[], char x) {
char ret[] = new char[arr.length + 1];
System.arraycopy(arr, 0, ret, 0, ret.length - 1);
ret[ret.length - 1] = x;
return ret;
}
static int max(int x, int y) {
return Math.max(x, y);
}
static int min(int x, int y) {
return Math.min(x, y);
}
static int max(int x, int y, int z) {
x = Math.max(x, y);
x = Math.max(x, z);
return x;
}
static int min(int x, int y, int z) {
x = Math.min(x, y);
x = Math.min(x, z);
return x;
}
static long max(long x, long y) {
return Math.max(x, y);
}
static long min(long x, long y) {
return Math.min(x, y);
}
static long max(long x, long y, long z) {
x = Math.max(x, y);
x = Math.max(x, z);
return x;
}
static long min(long x, long y, long z) {
x = Math.min(x, y);
x = Math.min(x, z);
return x;
}
static double max(double x, double y) {
return Math.max(x, y);
}
static double min(double x, double y) {
return Math.min(x, y);
}
static double max(double x, double y, double z) {
x = Math.max(x, y);
x = Math.max(x, z);
return x;
}
static double min(double x, double y, double z) {
x = Math.min(x, y);
x = Math.min(x, z);
return x;
}
static void sort(int[] ar) {
Arrays.sort(ar);
}
static void sort(long[] ar) {
Arrays.sort(ar);
}
static void sort(double[] ar) {
Arrays.sort(ar);
}
static void sort(char[] ar) {
Arrays.sort(ar);
}
static void rsort(int[] ar) {
Arrays.sort(ar);
int len = ar.length;
for (int i = 0; i < len / 2; i++) {
int tmp = ar[i];
ar[i] = ar[len - 1 - i];
ar[len - 1 - i] = tmp;
}
}
static void rsort(long[] ar) {
Arrays.sort(ar);
int len = ar.length;
for (int i = 0; i < len / 2; i++) {
long tmp = ar[i];
ar[i] = ar[len - 1 - i];
ar[len - 1 - i] = tmp;
}
}
static void rsort(double[] ar) {
Arrays.sort(ar);
int len = ar.length;
for (int i = 0; i < len / 2; i++) {
double tmp = ar[i];
ar[i] = ar[len - 1 - i];
ar[len - 1 - i] = tmp;
}
}
static void rsort(char[] ar) {
Arrays.sort(ar);
int len = ar.length;
for (int i = 0; i < len / 2; i++) {
char tmp = ar[i];
ar[i] = ar[len - 1 - i];
ar[len - 1 - i] = tmp;
}
}
static void fill(int arr[], int x) {
Arrays.fill(arr, x);
}
static void fill(long arr[], long x) {
Arrays.fill(arr, x);
}
static void fill(boolean arr[], boolean x) {
Arrays.fill(arr, x);
}
static void fill(double arr[], double x) {
Arrays.fill(arr, x);
}
static void fill(int arr[][], int x) {
for (int i = 0; i < arr.length; i++)
Arrays.fill(arr[i], x);
}
static void fill(long arr[][], long x) {
for (int i = 0; i < arr.length; i++)
Arrays.fill(arr[i], x);
}
static void fill(double arr[][], double x) {
for (int i = 0; i < arr.length; i++)
Arrays.fill(arr[i], x);
}
static void fill(boolean arr[][], boolean x) {
for (int i = 0; i < arr.length; i++)
Arrays.fill(arr[i], x);
}
//MOD culc
static long plus(long x, long y) {
long res = (x + y) % mod;
return res < 0 ? res + mod : res;
}
static long sub(long x, long y) {
long res = (x - y) % mod;
return res < 0 ? res + mod : res;
}
static long mul(long x, long y) {
long res = (x * y) % mod;
return res < 0 ? res + mod : res;
}
static long div(long x, long y) {
long res = x * pow(y, mod - 2) % mod;
return res < 0 ? res + mod : res;
}
static long pow(long x, long y) {
if (y < 0)
return 0;
if (y == 0)
return 1;
if (y % 2 == 1)
return (x * pow(x, y - 1)) % mod;
long root = pow(x, y / 2);
return root * root % mod;
}
public static void main(String[] args) throws Exception {
is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
out = new PrintWriter(System.out);
solve();
out.flush();
}
//input
static InputStream is;
static PrintWriter out;
static String INPUT = "";
private static byte[] inbuf = new byte[1024];
static int lenbuf = 0, ptrbuf = 0;
private static int readByte() {
if (lenbuf == -1)
throw new InputMismatchException();
if (ptrbuf >= lenbuf) {
ptrbuf = 0;
try {
lenbuf = is.read(inbuf);
} catch (IOException e) {
throw new InputMismatchException();
}
if (lenbuf <= 0)
return -1;
}
return inbuf[ptrbuf++];
}
private static boolean isSpaceChar(int c) {
return !(c >= 33 && c <= 126);
}
private static int skip() {
int b;
while ((b = readByte()) != -1 && isSpaceChar(b))
;
return b;
}
@SuppressWarnings("unused")
private static double nd() {
return Double.parseDouble(ns());
}
@SuppressWarnings("unused")
private static char nc() {
return (char) skip();
}
private static String ns() {
int b = skip();
StringBuilder sb = new StringBuilder();
while (!(isSpaceChar(b))) {
sb.appendCodePoint(b);
b = readByte();
}
return sb.toString();
}
private static char[] ns(int n) {
char[] buf = new char[n];
int b = skip(), p = 0;
while (p < n && !(isSpaceChar(b))) {
buf[p++] = (char) b;
b = readByte();
}
return n == p ? buf : Arrays.copyOf(buf, p);
}
@SuppressWarnings("unused")
private static char[][] nm(int n, int m) {
char[][] map = new char[n][];
for (int i = 0; i < n; i++)
map[i] = ns(m);
return map;
}
@SuppressWarnings("unused")
private static int[] na(int n) {
int[] a = new int[n];
for (int i = 0; i < n; i++)
a[i] = ni();
return a;
}
@SuppressWarnings("unused")
private static long[] nla(int n) {
long[] a = new long[n];
for (int i = 0; i < n; i++)
a[i] = nl();
return a;
}
@SuppressWarnings("unused")
private static int[][] nas(int n, int m){
int[][] res = new int[n][m];
for(int i=0;i<n;i++) {
for(int j=0;j<m;j++) {
res[i][j] = ni();
}
}
return res;
}
@SuppressWarnings("unused")
private static long[][] nlas(int n, int m){
long[][] res = new long[n][m];
for(int i=0;i<n;i++) {
for(int j=0;j<m;j++) {
res[i][j] = nl();
}
}
return res;
}
@SuppressWarnings("unused")
private static int ni() {
int num = 0, b;
boolean minus = false;
while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))
;
if (b == '-') {
minus = true;
b = readByte();
}
while (true) {
if (b >= '0' && b <= '9') {
num = num * 10 + (b - '0');
} else {
return minus ? -num : num;
}
b = readByte();
}
}
@SuppressWarnings("unused")
private static long nl() {
long num = 0;
int b;
boolean minus = false;
while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))
;
if (b == '-') {
minus = true;
b = readByte();
}
while (true) {
if (b >= '0' && b <= '9') {
num = num * 10 + (b - '0');
} else {
return minus ? -num : num;
}
b = readByte();
}
}
}