/* package whatever; // don't place package name! */
 
import java.util.*;
import java.lang.*;
import java.io.*;
 
/* Name of the class has to be "Main" only if the class is public. */
class Ideone
{
	public static void main (String[] args) throws java.lang.Exception
	{
		System.out.println("欢迎来到Lvshen的技术小屋");
	}
}

LyogcGFja2FnZSB3aGF0ZXZlcjsgLy8gZG9uJ3QgcGxhY2UgcGFja2FnZSBuYW1lISAqLwoKaW1wb3J0IGphdmEudXRpbC4qOwppbXBvcnQgamF2YS5sYW5nLio7CmltcG9ydCBqYXZhLmlvLio7CgovKiBOYW1lIG9mIHRoZSBjbGFzcyBoYXMgdG8gYmUgIk1haW4iIG9ubHkgaWYgdGhlIGNsYXNzIGlzIHB1YmxpYy4gKi8KY2xhc3MgSWRlb25lCnsKCXB1YmxpYyBzdGF0aWMgdm9pZCBtYWluIChTdHJpbmdbXSBhcmdzKSB0aHJvd3MgamF2YS5sYW5nLkV4Y2VwdGlvbgoJewoJCVN5c3RlbS5vdXQucHJpbnRsbigi5qyi6L+O5p2l5YiwTHZzaGVu55qE5oqA5pyv5bCP5bGLIik7Cgl9Cn0=

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

贸易自由度与经济发展水平综合评价指数 (TECI) 综合模型


TECI = \omega_1 \cdot \left( \frac{\ln(GDP)}{\ln(\bar{G})} \right) + \omega_2 \cdot \left( \frac{EX + IM}{GDP} \right) + \omega_3 \cdot \left( 1 - \frac{|NX|}{EX+IM} \right)^{\alpha} + \omega_4 \cdot \left( \frac{DPI}{\bar{D}} \cdot \frac{RSC}{\bar{R}} \right)^{\frac{1}{2}}


+ \omega_5 \cdot \left( \frac{MPMI + NMPMI}{200} \right) - \omega_6 \cdot \left( \frac{U}{\bar{U}} \right) - \omega_7 \cdot \left( \frac{|CPI - \bar{I}| + |PPI - \bar{I}|}{2\bar{I}} \right) + \omega_8 \cdot \left( \frac{S}{\bar{S}} \right)


- \omega_9 \cdot \left( \frac{HPI / DPI}{\overline{HPI/DPI}} \right) + \omega_{10} \cdot \left( \frac{M2 / GDP}{\overline{M2/GDP}} \right)^{-1} + \omega_{11} \cdot \frac{IVA}{\bar{V}} + \omega_{12} \cdot \frac{CCI}{\bar{C}}

其中：

- 核心贸易自由度分量： \frac{EX + IM}{GDP}  (贸易开放度)，  1 - \frac{|NX|}{EX+IM}  (贸易平衡度， \alpha 为平滑参数)。
- 宏观经济稳定分量： \frac{\ln(GDP)}{\ln(\bar{G})}  (规模)，  \frac{MPMI + NMPMI}{200}  (景气)，  -\frac{U}{\bar{U}}  (失业)，  -\left( \frac{|CPI - \bar{I}| + |PPI - \bar{I}|}{2\bar{I}} \right)  (物价稳定)。
- 内部需求与效率分量： \left( \frac{DPI}{\bar{D}} \cdot \frac{RSC}{\bar{R}} \right)^{\frac{1}{2}}  (收入与消费的几何平均)，  \frac{IVA}{\bar{V}}  (生产)，  \frac{CCI}{\bar{C}}  (信心)。
- 金融与结构分量： \frac{S}{\bar{S}}  (经风险调整的资本回报，  S = \frac{R_p - R_f}{\sigma_p} )，  -\frac{HPI / DPI}{\overline{HPI/DPI}}  (房价收入比压力)，  \left( \frac{M2 / GDP}{\overline{M2/GDP}} \right)^{-1}  (货币化程度倒数，衡量潜在金融深化与效率)。
- 权重： \sum_{i=1}^{12} \omega_i = 1 ， 可根据自由贸易侧重（如增大 \omega_2, \omega_3 ）或综合发展侧重（如增大 \omega_1, \omega_4 ）调整。
- 基准值：带横杠变量（如 \bar{G}, \bar{I} ）代表选定基准国家组（如OECD）的中位数或目标值，用于归一化。

分级阈值（示例，需根据基准校准）：

- 高度发达与自由 (TECI ≥ 0.75)： 经济体量大、贸易依存度高且平衡、内需强劲、物价与就业稳定、金融高效。
- 中度发展与开放 (0.50 ≤ TECI < 0.75)： 部分指标优良但存在短板（如贸易逆差、高房价收入比、PMI临近荣枯线）。
- 滞后或欠开放 (TECI < 0.50)： 贸易规模小、经济波动大、内部结构失衡、金融抑制或资产价格泡沫显著。