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import java.io.*; | ||
import java.util.*; | ||
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public class MancunianAndMultiplicativeQueries { | ||
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public static InputReader in; | ||
public static PrintWriter out; | ||
public static final int MOD = (int)1e9 + 7; | ||
public static int BLOCK; | ||
public static long value = 1; | ||
public static int[] A, FUNC, cnt; | ||
public static void main(String[] args) { | ||
in = new InputReader(System.in); | ||
out = new PrintWriter(System.out); | ||
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int N = in.nextInt(), | ||
C = in.nextInt(), | ||
Q = in.nextInt(); | ||
BLOCK = (int)Math.sqrt(N); | ||
A = new int[N+1]; | ||
for (int i = 1; i <= N; i++) A[i] = in.nextInt(); | ||
FUNC = new int[N+1]; | ||
for (int i = 0; i <= N; i++) FUNC[i] = in.nextInt(); | ||
cnt = new int[C+1]; | ||
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Query[] queries = new Query[Q]; | ||
for (int i = 0; i < Q; i++) { | ||
int l = in.nextInt(), | ||
r = in.nextInt(); | ||
queries[i] = new Query(l, r, i); | ||
} | ||
Arrays.sort(queries); | ||
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value = pow(FUNC[cnt[0]], C); | ||
long result = 1; | ||
int left = 1, | ||
right = 0; | ||
for (int i = 0; i < Q; i++) { | ||
Query curr = queries[i]; | ||
while(left > curr.left) { | ||
left--; | ||
add(A[left]); | ||
} | ||
while(right < curr.right) { | ||
right++; | ||
add(A[right]); | ||
} | ||
while(left < curr.left) { | ||
remove(A[left]); | ||
left++; | ||
} | ||
while(right > curr.right) { | ||
remove(A[right]); | ||
right--; | ||
} | ||
result = (result*value)%MOD; | ||
} | ||
out.println(result); | ||
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out.close(); | ||
} | ||
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public static void add(int num){ | ||
value = (value*inverseMod(FUNC[cnt[num]]))%MOD; | ||
cnt[num]++; | ||
value = (value*FUNC[cnt[num]])%MOD; | ||
} | ||
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public static void remove(int num){ | ||
value = (value*inverseMod(FUNC[cnt[num]]))%MOD; | ||
cnt[num]--; | ||
value = (value*FUNC[cnt[num]])%MOD; | ||
} | ||
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public static long inverseMod(long val) { | ||
return pow(val, MOD-2); | ||
} | ||
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public static long pow(long base, long exp) { | ||
if(exp == 0) return 1; | ||
if(exp == 1) return base%MOD; | ||
long val = pow(base, exp/2); | ||
long result = (val*val)%MOD; | ||
if((exp&1) != 0) | ||
result = (result*base)%MOD; | ||
return result; | ||
} | ||
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static class Query implements Comparable<Query>{ | ||
int left, right, idx; | ||
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public Query(int left, int right, int idx){ | ||
this.left = left; | ||
this.right = right; | ||
this.idx = idx; | ||
} | ||
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public int compareTo(Query that){ | ||
if(this.left / BLOCK == that.left / BLOCK) | ||
return Integer.compare(this.right, that.right); | ||
return Integer.compare(this.left, that.left); | ||
} | ||
} | ||
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static class Node implements Comparable<Node>{ | ||
int u, v; | ||
long score; | ||
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public Node (int u, int v) { | ||
this.u = u; | ||
this.v = v; | ||
} | ||
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public void print() { | ||
System.out.println(u + " " + v + " " + score); | ||
} | ||
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public int compareTo(Node that) { | ||
return Long.compare(this.score, that.score); | ||
} | ||
} | ||
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static class InputReader { | ||
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private InputStream stream; | ||
private byte[] buf = new byte[8192]; | ||
private int curChar, snumChars; | ||
private SpaceCharFilter filter; | ||
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public InputReader(InputStream stream) { | ||
this.stream = stream; | ||
} | ||
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public int snext() { | ||
if (snumChars == -1) | ||
throw new InputMismatchException(); | ||
if (curChar >= snumChars) { | ||
curChar = 0; | ||
try { | ||
snumChars = stream.read(buf); | ||
} catch (IOException e) { | ||
throw new InputMismatchException(); | ||
} | ||
if (snumChars <= 0) | ||
return -1; | ||
} | ||
return buf[curChar++]; | ||
} | ||
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public int nextInt() { | ||
int c = snext(); | ||
while (isSpaceChar(c)) | ||
c = snext(); | ||
int sgn = 1; | ||
if (c == '-') { | ||
sgn = -1; | ||
c = snext(); | ||
} | ||
int res = 0; | ||
do { | ||
if (c < '0' || c > '9') | ||
throw new InputMismatchException(); | ||
res *= 10; | ||
res += c - '0'; | ||
c = snext(); | ||
} while (!isSpaceChar(c)); | ||
return res * sgn; | ||
} | ||
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public long nextLong() { | ||
int c = snext(); | ||
while (isSpaceChar(c)) | ||
c = snext(); | ||
int sgn = 1; | ||
if (c == '-') { | ||
sgn = -1; | ||
c = snext(); | ||
} | ||
long res = 0; | ||
do { | ||
if (c < '0' || c > '9') | ||
throw new InputMismatchException(); | ||
res *= 10; | ||
res += c - '0'; | ||
c = snext(); | ||
} while (!isSpaceChar(c)); | ||
return res * sgn; | ||
} | ||
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public int[] nextIntArray(int n) { | ||
int a[] = new int[n]; | ||
for (int i = 0; i < n; i++) | ||
a[i] = nextInt(); | ||
return a; | ||
} | ||
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public String readString() { | ||
int c = snext(); | ||
while (isSpaceChar(c)) | ||
c = snext(); | ||
StringBuilder res = new StringBuilder(); | ||
do { | ||
res.appendCodePoint(c); | ||
c = snext(); | ||
} while (!isSpaceChar(c)); | ||
return res.toString(); | ||
} | ||
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public boolean isSpaceChar(int c) { | ||
if (filter != null) | ||
return filter.isSpaceChar(c); | ||
return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1; | ||
} | ||
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public interface SpaceCharFilter { | ||
public boolean isSpaceChar(int ch); | ||
} | ||
} | ||
} |